2015 - 2016 Version Table of Contents Principles for Safety in the Chemical Laboratory. . . . . . . . . . . . . . . . . . . 1 Laboratory Notebooks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Experiment 1. Chemical Measurements and Significant Figures. . . . . . 8 Experiment 2. Percent Composition of Metal Oxides .. . . . . . . . . . . . . . 13 Experiment 3. Atomic Spectroscopy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 Experiment 4. Spectrophotometry.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Experiment 5. Identification of Unknown Solutions. . . . . . . . . . . . . . . . 38 Experiment 6. Molecular Models.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 Experiment 7. Isomers, Hybridization, and Molecular Orbitals. . . . . . 49 Experiment 8. Copper Compounds. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 Experiment 9. Synthesis of a Cobalt Salt. . . . . . . . . . . . . . . . . . . . . . . . . 70 Experiment 10. Reaction Stoichiometry. . . . . . . . . . . . . . . . . . . . . . . . . . 75 Experiment 11. Redox Titration. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 Experiment 12. The Ideal Gas Law. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90 i Experiment 13. Molar Mass of a Vapor. . . . . . . . . . . . . . . . . . . . . . . . . . 96 Experiment 14. Thermochemistry. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 Experiment 15. Determination of Glucose using a Spectrophotometer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111 Experiment 16. Physical Properties of Chemicals - Melting Points, Boiling Points and Sublimation. . . . . . . . . . . . . . . . . . . . . . . . . . . 116 Experiment 17. Determination of the Enthalpy of Vaporization of H2O . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 Experiment 18. Freezing-Point Depression. . . . . . . . . . . . . . . . . . . . . . 139 Experiment 19. Rate Law for the Iodine Clock Reaction. . . . . . . . . . . 145 Experiment 20. Reaction Rates. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 Experiment 21. Solubility of Calcium Iodate . . . . . . . . . . . . . . . . . . . . 158 Experiment 22. Acid-Base Strength of Salts.. . . . . . . . . . . . . . . . . . . . . 165 Experiment 23. Buffers and Potentiometric Titrations . . . . . . . . . . . . 174 Experiment 24. Structures of Organic Molecules. . . . . . . . . . . . . . . . . 178 Appendix 1. Data Analysis. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183 Using Excel to Graph Data (Office 2013 version). . . . . . . . . . . . . . . . . 191 Using Excel to Graph Data (Office 2007 version). . . . . . . . . . . . . . . . . 197 Constants. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207 ii PREFACE You cannot truly appreciate any science without getting your hands wet by doing experiments. When I first came to Black Hills State in 1998, I found a record of several experiments that had been done in the past, but no organized lab manual that put all the experiments together into a single cohesive book. I had two choices, either I could continue to come up with single experiments on an ad hoc basis and give them to the students week by week, or I could write a lab manual that contained many useful experiments in a single organized volume. Since I knew the task of writing a lab manual could consume days and weeks (months, years) of my time, I did what any sane person would do, I looked at somebody else’s manual for ideas and inspiration. In particular, since I had just taught at Ohio Northern University and knew that they had a manual full of experiments that worked well in a 2-3 hour lab period, I asked their permission to copy their manual and use it here at Black Hills State. Fortunately they allowed me to do this, and, in 1998 at least, most of the experiments in this manual are almost direct copies taken from the Ohio Northern University Introductory Chemistry Lab Manual. As such, I must acknowledge the work and effort of the staff from that institution, and I thank them whole-heartedly for letting me use their work here. The story does not stop there. Making a lab manual is an evolutionary process. Things that worked at one university will work differently at another because there is a different physical set-up to the lab and a different way of doing things. Further, some experiments I like as they are, while others I want to change in some way to make them work better. I will also continually be looking for other experiments that might illustrate a given idea better. Thus, as each year passes the manual will change and evolve. At this beginning of this process I want to acknowledge the help of Jennifer Zoller who has spent a great deal of time helping me to put this manual together. iii Principles for Safety in the Chemical Laboratory Safe practices in the chemical laboratory are of prime importance. A student should consider it an essential part of his or her educational experience to develop safe and efficient methods of operation in a lab. To do this, one must acquire a basic knowledge of properties of materials present in the lab, and one should realize the types of hazards that exist and the accidents and injuries that can result from ignorance or irresponsibility on the part of the student or a neighbor. Regulations 1. Wear safety goggles at all times while in the laboratory. 2. Report all accidents to the instructor or lab assistant immediately. 3. NEVER eat, drink, chew, or smoke in the laboratory. 4. NEVER leave an experiment unattended. Inform the lab assistant if you must leave the lab. 5. After the experiment is completed, turn all equipment off, making sure it is properly stored, and clean your area. Failure to comply with these regulations is cause for immediate dismissal from lab. Precautions 1. Approach the laboratory with a serious awareness of personal responsibility and consideration for others in the lab. 2. Become familiar with the location of safety equipment, such as acid-base neutralizing agents, eye wash, fire extinguisher, emergency shower, and fire blanket. 3. Pay strict attention to all instructions presented by the instructor. If something is not clear, do not hesitate to ask the instructor or lab assistant. 4. Clean up all chemical spills immediately. 1 5. Be aware of all activities occurring within a reasonable proximity of yourself since you are always subject to the actions of others. 6. To avoid contamination of community supplies, do not use personal equipment such as spatulas in shared chemicals and replace all lids after use. 7. Avoid unnecessary physical contact with chemicals; their toxic properties may result in skin irritation. 8. Use all electrical and heating equipment carefully to prevent shocks and burns. 9. NEVER handle broken glassware with your hands; use a broom and a dust pan. 10. Wash your hands at the end of the laboratory. Personal Attire Choice of clothing for the laboratory is mainly left to the discretion of the student. Because of the corrosive nature of chemicals, it is in your best interest to wear comfortable, practical clothing. Long, floppy sleeves can easily come into contact with chemicals. A lab coat is suggested to help keep clothes protected and close to the body. Accessories also need consideration. Jewelry can be ruined by contact with chemicals. Open toed shoes do not adequately protect one against chemical spills. If hair is long enough to interfere with motion or observation, it should be tied back. Remember that your clothes are worn to protect you. Assembling Equipment Equipment should be assembled in the most secure and convenient manner. Utility clamps are provided to fasten flasks, etc., to the metal grid work located at the center of each bench. This keeps top-heavy or bulky equipment away from the edge where it can be knocked easily off the bench. Consider the safe location of the hot plate. Keep it near the grid work to minimize chances of contact with the body. If the aspirator is being used, locate your apparatus near the sink for convenience. 2 Handling Glassware Laboratory glassware is usually fragile, and if it is not properly handled, serious injuries may result Do not force glass tubing or thermometers into a rubber stopper. Lubricate the tubing or thermometer with glycerol or water, wrap it in a towel, and gently insert it into the stopper by using pressure in a lengthwise direction while rotating it. Always grasp the tubing near the stopper. When removing the tubing, remember to protect your hands with a towel. If there are difficulties with this procedure, ask for the instructor's assistance. Apparatus that can roll should be placed between two immobile objects away from the edge of the bench. Chipped or broken glassware cannot be used. There are special receptacles near each bench for these waste materials. After the experiment is completed, all glassware should be emptied, rinsed, and cleaned. Acids and Bases In this lab sequence, you will come in contact with several acids and bases. As with all chemicals, caution must be taken to prevent contact with the skin. When handling these chemicals, keep hands away from the eyes and face until they have been thoroughly washed. If an acid or base comes in contact with your skin, flush the area with large quantities of clean, cold water. Eyes are extremely sensitive. Use the eye wash provided in the laboratory, or wash with water for at least 10 minutes. Again, the instructor must be notified immediately. To insure your safety, neutralize acid or base spills before cleaning them up. Boric acid solution is available to neutralize base spills, and carbonate powder is provided to neutralize acids. 3 Attention: Students are advised against wearing contact lenses while observing or participating in science laboratory activities. While hard contact lenses do not seem to aggravate chemical splash injuries, soft contact lenses absorb vapors and may aggravate some chemical exposures, particularly if worn for extended periods. Please take your contact lenses out prior to entering the laboratory. Contact Lens Administrative Policy and Waiver Form Students are advised against wearing contact lenses while observing or participating in science laboratory activities. While hard contact lenses do not seem to aggravate chemical splash injuries, soft contact lenses absorb vapors and may aggravate some chemical exposures, particularly if worn for extended periods. You are asked to please remove your contact lenses prior to entering the laboratory. If you do not wish to comply with this recommendation, you must fill out the next page, which is a waiver form. 4 Waiver of Liability, Indemnification and Medical Release I am aware of the dangers involved in wearing contact lenses in a science laboratory setting. On behalf of myself, my executors, administrators, heirs, next of kin, successors, and assigns, I hereby: a. waive, release and discharge from any and all liability for my personal injury, property damage, or actions of any kind, which may hereafter, accrue to me and my estate, the State of South Dakota, and its officers, agents and employees; and b. indemnify and hold harmless the State of South Dakota, and its officers, agents and employees from and against any and all liabilities and claims made by other individuals or entities as a result of any of my actions during this laboratory. I hereby consent to receive any medical treatment, which may be deemed advisable in the event of injury during this laboratory. This release and waiver shall be construed broadly to provide a release and waiver to the maximum extent permissible under applicable law. I, the undersigned participant, acknowledge that I have read and understand the above Release. Name _______________________________ Age _________________ Signature ____________________________ Date _________________ Section _____________________ Is there any health information you would like us to know if there is an accident? 5 Laboratory Notebooks You are required to use a bound notebook in CHEM 112-114 lab to record all primary data and observations. You should prepare your notebook each week before coming to lab by writing the title of the experiment on a new numbered page, summarizing relevant equations from the lab manual, and starting calculations involving molar masses, etc. Take note of theoretical ideas and special instructions given by your instructor at the start of each experiment. Your notebook should be a complete record of your work in lab. You or other chemists should be able to understand the notes in the future, not just during the current experiment Good note taking in lab is a valuable skill that you can learn with a little effort and practice. Guidelines to be Followed: 1. Always bring your notebook with you to lab. You will be graded on the completeness of your previous note taking and your preparation for the current experiment. You may use your notebook during a lab quiz. 2. Number the pages sequentially and reserve space at the beginning for a table of contents. 3. Take your notebook to the balance room, etc. and record values directly in it - not on loose scraps of paper. 4. Specify each measured quantity by name and include the units. 5. If you make a mistake in your notebook, simply draw a solid line through the error and write the correction nearby. 6. Tables greatly simplify data entry; they should be set up before coming to lab. 7. Write down all observations such as color and phase changes - don't rely on your memory. 8. Save time by doing trial calculations in your notebook before filling out any report sheets. 9. Save time by making preliminary sketches of graphs on the ruled lines in your notebook. 10. Make observations of what you actually see, not what you think you should see! 6 10. Diagrams of experimental set-ups. You will be putting together equipment that you have never seen before; you need some way to remember how you put the apparatus together. 11. Conclusions. First think about the purpose of the lab. What is it that you were trying to accomplish? Now write up a paragraph summarizing how you accomplished that purpose. What were the key experiments, observations or calculations that allowed you to accomplish the stated purpose of the lab? 7 Experiment 1. Chemical Measurements and Significant Figures Purpose: In this experiment you will be: i taking various measurements using equipment in the lab i evaluating significant figures i doing some calculations with significant figures Note: The individual parts of the lab do NOT have to be done in a particular order, so feel free to do any measurement or calculation at any time, as the equipment is free for use. I. Measuring mass - Use of a the balances. Each person will get an object of unknown weight. Your job will be to determine the weight of that object on each balance we have in the lab. Please remember that I have already weighed the object, and that if you touch it with your fingers you will leave oils behind that will change the weight of the object. Thus you should never handle the object with your hands. You may use tongs or a piece of paper, but never your hands. Also, you should treat this object like a chemical, that is, do not simply put it on that balance pan. You should first put a piece of paper on the balance and either record its weight or “tare” the weight on the balance. Then you place your object on the paper and get the total weight of object and paper. The actual weight of the object will be the difference between the weight of the (object + paper) minus the weight of the paper. As you use each balance you will see that they have a level of uncertainty. Some can measure to 1g, others to .0001g, and others in between. Pay attention to the inherent accuracy of each balance, for when you report your numbers on the write up, and for future reference, when you need to decide on your own how to measure the amount of a particular chemical. II. Measuring volumes The chemist has many different ways to measure volumes. Lets look at some of them and think about the level of uncertainty in the measurement. A. Beakers - Probably the crudest method is to simply pour the water into a beaker. Find beakers A, B, and C and record the volume of water in those beakers on the reporting sheet using the appropriate number of significant figures. 8 B. Graduated cylinders - The next best way to measure a volume is with a graduated cylinder. This long skinny tube has many more calibration marks than a beaker, and this makes it easier to determine volume with a higher precision. Find Graduated cylinders A, B, C, and D. and record the volume of water in these cylinders with the appropriate number of digits on the reporting sheet C. Volumetric Flasks - If you want a solution to contain a specific total volume, you usually make the solution in a volumetric flask. This flask has been calibrated to contain a precise amount of liquid when filled to a line on the neck of the flask. The hardest part of using a volumetric flask is getting the liquid level to hit the line exactly. Take a volumetric flask and fill it to the line. When this is done have the lab instructor initial the reporting sheet. Note that since you fill a volumetric flask with water, it does not have to be dry when you start filling it. Thus don’t worry about trying to get the flask dry before you start. Some flasks are marked with the uncertainty in the volume contained, while others have no marking. If there is no marking, the uncertainty is considered to by ± 1 drop or about 0.05 ml D. Volumetric pipets - These are pipets with large bulbs that have been calibrated with a mark or line, so when they are filled to the mark, they contain a given volume. Like the volumetric flask the biggest problem is getting the liquid exactly to the line. Please remember that you never use your mouth for pipeting. Using one of the pipet bulbs provided, fill a volumetric pipet to the calibration line and have the instructor initial your reporting sheet. Like the volumetric flask the uncertainty in a volume delivered by a pipet is assumed to be ± 1 drop (0.05 ml) unless otherwise marked on the pipet. E. Burets - While volumetric flasks and pipets can deliver very accurate volumes, they have no flexibility and can only deliver one fixed volume. How can you deliver volumes in a manner that is both flexible and accurate? The answer to this is the buret. A long tube with fine calibration marks and a stopcock that allows you to deliver and particular volume you wish. The problem most people have with a buret is reading it accurately. Three burets have been filled by the instructor. Find the burets, read the liquid levels in the burets, and write them down on the reporting sheet with the appropriate level of precision. Remember that you should be able to interpolate the reading to one more decimal point than the buret is calibrated. III. Significant Figures Review your text on significant figures and propagation of error in calculations and answer the problems on the report sheet. 9 Name: Report Sheet Chemical Measurements and Significant Figures I. Measuring mass Object Number______________ Object weight (remember to report the correct number of significant digits) Electronic Balances Balance A Weight of Object (g) ________±______ Balance B ________±______ Balance C ________±______ Balance D ________±______ Pan Balance Object + Paper Balance E Paper Object __________±____ ___________±_____ ________±______ II. Measuring volume A. Beakers Record the volumes of water in the beaker with the appropriate number of significant figures. Raw Volume (estimated) ± uncertainty Volume (Using sig figs) Beaker A ________________ ____________ _________ Beaker B ________________ ____________ _________ Beaker C ________________ ____________ _________ 10 B. Graduated Cylinders Record the volumes of water in the graduated cylinders Raw Volume (estimated) ± uncertainty Volume (Using sig figs) Cylinder A ________________ ____________ __________ Cylinder B ________________ ____________ __________ Cylinder C ________________ ____________ __________ Cylinder D ________________ ____________ __________ C. Volumetric Flasks Flask filled _____________ (instructors initials) Volume and uncertainty in volume? _______________________ D. Volumetric Pipets Pipet filled _______________(instructors initials) Volume and uncertainty in volume? _______________________ E. Burets Liquid level observed (raw) Uncertainty in level A. _____________ ______________ Reading (appropriate sig. fig.) _______________ B. _____________ ______________ _______________ C. _____________ ______________ _______________ Question - If A. was your initial buret reading and B was the reading after you delivered some of the liquid into a flask, how much liquid did you put in that flask? Question - In the answer above, what is the uncertainty in the delivered volume? 11 III. Significant Figures 1. Indicate the number of significant figures in the following measurements. (a) 0.209 mL _____________ (b) 0.00077 g _______________ (c) 135.7 g (d) 21.5 mL _______________ _____________ (e) 0.0302 g _____________ (f) 1.020 g/mL _______________ 2. The following represent results of mass and volume measurements used to determine the density of some liquids. Calculate each density to the appropriate number of significant figures. (a) 12.5 g / 9.5 mL ________________ (b) 1.049 g / 10.00 mL ________________ (c) (22.892 g - 4.3380 g) / (23.45 mL - 0.05 mL)____________________ IV. Calculator Worksheet Perform the following calculations on your calculator. If your answer does not match the answer given, consult your laboratory instructor. A. 2+3x2=8 B. 4 x 10 – 2 / 5 = 39.6 C. 5 x 10-2 = 0.05 D. 5 x 10-2 – 2 = -1.95 E. (5 x 10-2)2 = 2.5 x 10-3 F. 2 x 3 x103 + 2 / 8 = 6000 or 6 x 103 G. 3 x (9 x 10-3)5 = 1.77x10-10 12 Experiment 2. Percent Composition of Metal Oxides Purpose: i i i In this experiment you will use the reaction, Mg(s) + O2(g) 6MgxOy (s) to determine the % magnesium and % oxygen in magnesium oxide. You will then observe a similar but opposite reaction, AgxOy(s) 6 Ag(s) + O2(g) to determine the % silver and % oxygen in silver oxide. Then, by comparing the experimental % compositions to the theoretical % composition of known formula, you will determine the molecular formula of the two oxides Background Many metals react with oxygen to from oxides. Some metals, like Magnesium, do this extremely well, and can burn with just the O2 in the air and a little heat to get the reaction started. Other metals, like iron are less reactive, and won’t burn easily, but do slowly oxidize when exposed to air and moisture (Iron rusting). Still other metals, like gold, form oxides only under the most extreme conditions. In this lab you will look at two metal oxides, silver oxide and magnesium oxide. Magnesium is a highly reactive metal, and burns vigorously once you get it hot enough to ignite. In fact, it is so reactive, that a second side reaction begins to occur in which the magnesium reacts with the relatively inert N2 gas in the air: 3Mg(s) + N2(g) 6Mg3N2(s). In this experiment we will burn the magnesium in a covered crucible to control the rate of the reaction, and then do a second reaction, Mg3N2(s) + 6H2O(l) 6 3Mg(OH)2(s) + 2NH3(g) to convert any of the magnesium nitride to magnesium hydroxide. The magnesium hydroxide formed in this reaction is then converted into magnesium oxide by simple additional heating. From the mass of magnesium you start with, and the mass of magnesium oxide that remains after the reactions, you can calculate the % composition of magnesium and oxygen in magnesium oxide. Silver is a metal that does not oxidize easily at room temperature and, in fact, the oxide of silver decomposes back into silver and oxygen if it is simply heated. In this part of the lab your instructor will start with silver oxide, heat it to the temperature that it decomposes, and isolate the silver that remains after this reaction. By comparing the mass of the silver oxide you started with and the mass of silver that remains after the sample is heated you can calculate how much oxygen was in the silver oxide, and from this you can calculate the % composition of silver and oxygen in silver oxide. 13 Procedure: Formation of Magnesium Oxide To prove that magnesium readily forms oxides the instructor will ignite a 0.1 gram piece of magnesium ribbon. Record your observations in your lab notebook. (Note: The magnesium flare is so bright, you should not look directly at it when it ignites.) Now that you have seen the uncontrolled reaction, you can try the reaction under a more controlled environment. Wash and dry a crucible and lid. Remember once you have washed the crucible & lid use your crucible tongs to handle it NOT YOUR FINGERS!! Place a ceramic triangle on a ring stand and position your propane torch about 3 inches under the triangle. Place your cleaned crucible and lid on the triangle, light your propane torch, and heat your crucible and lid for about a minute to evaporate any remaining moisture. Turn off your burner and let the crucible and lid cool for about 10 minutes. After the crucible and lid are cool take them to the balance and weigh them to the nearest .001 g. and record this data in your lab notebook. Next, obtain a piece of magnesium ribbon about 1.5 inches long. Cut this ribbon into 4-5 pieces and place a kink in the middle of each piece. Place these ribbon pieces in the crucible, and accurately weigh the crucible, lid, and the ribbon to the nearest .001g and record this data in your notebook. Also record the appearance of magnesium. Place crucible back on the triangle and cover with lid slightly ajar to allow air to circulate. Turn on the torch and heat the crucible and lid for 10 minutes over the hottest part of the flame. Adjust the flame under the crucible so that the bottom of the cricible glows, but not the sides. At the end of the ten minutes turn off the burner and allow the crucible to cool until you can almost touch it. Use your crucible tongs to remove the lid and examine the contents of the crucible. What do you see? Record your observations in your lab notebook. While the crucible is cooling, fined the deionized water that is heated to boiling on the hotplate. Add 20 drops of this boiling hot water to the warm crucible. Note any odor that is released when you add the water. Now put the crucible lid back on (again slightly ajar) and gently heat the crucible for 10 more minutes to evaporate the water and complete the conversion of Mg2N3 to magnesium oxide. 14 If the reaction looks complete, use your crucible tongs to put the crucible in your casserole dish, cover with the lid, and let cool for 10 minutes. Once cool, weigh the crucible, lid and contents and record the final weight in your lab notebook. Clean, dry and re-weigh, the crucible and lid, before repeating the experiment. You will need data from a total of two runs of the experiment. Decomposition of Silver oxide The instructor will accurately weigh a clean, dry, crucible & lid. Record this value in your lab notebook. Then the instructor will accurately weigh about 0.5 g of silver oxide into the crucible. (Again record this weight, and the appearance of the silver oxide in your notebook.) The instructor will then heat the crucible, silver oxide, and lid with a propane torch. To observe the reaction, the instructor may leave the crucible lid off. At that point the lid should be placed on the crucible so all the ‘soot’ is retained for a proper weight. When the reaction is complete (~ 10-15 minutes) the instructor will carefully remove the lid to see if the reaction looks complete. If it is, then the crucible and lid will be moved to a casserole dish to cool. Once cooled the crucible, lid and product will be weighed. The instructor will write the mass of crucible, lid and product on the board. Record this value in your lab notebook so you will have all the raw data necessary to determine % Ag and %O in the original oxide. Calculations: Using the data from your three runs of the reaction of magnesium with oxygen, determine the mass of magnesium and the mass of magnesium oxide. Then calculate the mass of oxygen and the %Mg and %O in the magnesium oxide. By comparing the experimental %Mg and %O to the theoretical % composition of known formulas, determine the molecular formula for the magnesium oxide formed. Write a balance chemical equation for the formation of magnesium oxide from magnesium and oxygen. For the silver oxide experiment use the instructor’s raw data to determine the mass of silver oxide used, and the mass of silver produced. Then calculate the mass of oxygen in the oxide produced. Calculate the %Ag and %O. If the instructor has data from multiple runs, determine the average %Ag and %O from these trials and compare to the table of theoretical % compositions of known formulas to determine the molecular formula of the silver oxide. Do these calculations in your lab notebook and transfer the information to the Report Sheet to turn in. Also write a balanced chemical equation for the reaction for the decomposition of silver oxide into silver and oxygen. Make sure that you have all of the calculations set up and worked in your lab notebook. Also make diagrams of the apparatus used in these two experiments in you lab notebook. 15 Name: ___________ ___________ Report Sheet Determination of the Molecular Formula of Silver Oxide and Magnesium Oxide from Experimental % Composition I. Oxidation of Magnesium Mass of crucible, lid, and magnesium Trial 1 ________ Trial 2 ________ Mass of empty crucible and lid ________ ________ Mass of magnesium used in reaction ________ ________ Mass of magnesium oxide, crucible & lid ________ ________ Mass of empty crucible & lid used ________ ________ Mass of magnesium oxide formed: ________ ________ Mass of oxygen in magnesium oxide: ________ ________ % O in magnesium oxide: ________ ________ Average ______ % Mg in magnesium oxide: ________ ________ Average ______ Calculate the theoretical % magnesium and % oxygen for the following molecular formulas MgO Mg2O MgO2 % Mg %O What is your best guess for the formula of Magnesium oxide? Why? Write a balanced chemical equation for the formation of magnesium oxide from magnesium and oxygen: 16 II. Decomposition of Silver Oxide Trial 1 ________ ________ ________ ________ ________ ________ Trial 2 (If available) ________ ________ ________ ________ ________ ________ Trial 3 (If available) ________ ________ ________ ________ ________ ________ mass of oxygen in silver oxide _______ _______ ________ % Silver in silver oxide _______ _______ _______ Mass of crucible, lid & silver oxide Mass of empty crucible & lid Mass of silver oxide mass of crucible, lid & silver mass of empty crucible & lid mass of silver _______ Average % Silver % Oxygen in silver oxide _______ _______ _______ _______ Average % Oxygen Calculate the theoretical % silver and % oxygen for the following molecular formulas AgO Ag2O AgO2 % Ag %O What is your best guess for the formula of Silver oxide? Why? Write a balanced chemical equation for the decomposition of silver oxide into silver and oxygen: 17 Experiment 3. Atomic Spectroscopy Purpose: In this experiment you will: i analyze the spectrum of atomic hydrogen to determine the Rydberg constant i use flame tests to identify unknown solutions i identify an unknown gas by its spectral "fingerprint" Background Refer to chapter 7 in your text and the next chapter, “Expt.4: Spectrophotometry" for more background information. Atoms in the gas phase have quantum states with very specific energies. The atoms each exist in one of these states and may change to another state by absorbing or emitting a quantum of light (i.e. photon). These "transitions" between quantum states occur at distinct wavelengths (ë). Since atoms of each chemical element have a unique set of quantum states, the observed wavelengths of the transitions constitute a spectral "fingerprint" for that element While accurate measurements of the wavelengths are usually the best way to identify the spectrum of an element, the intensity (i.e. brightness) of the transitions is also a unique, qualitative feature that often aids in identification. Energy sources such as electric discharges or flames excite atoms into high-energy quantum states, and light emission may then be observed. When an aqueous salt solution is vaporized in-a flame, metal cations are reduced to neutral atoms and the atoms are then excited. Some metallic elements thus emit a characteristic visible color that may be used to distinguish them in a set of unknown samples. The metals and corresponding flame colors considered in this experiment are: sodium bright yellow potassium faint violet strontium red - orange barium yellowish green lithium deep red copper green/blue 18 Procedure Experiment 1: Determining the Rydberg Constant Work in pairs for this part of the experiment. Your instructor will demonstrate the use of a spectroscope to observe the emission spectrum of atomic hydrogen. Use the spectroscope to measure the wavelengths in nm (3 s.f.) of as many spectral “lines” as you can see. Refer to the provided emission spectrum of atomic hydrogen to confirm your observations. Make a table of the wavelengths (ë) and convert them to wavenumbers (í) using the relation This set of lines is called the Balmer series. The lines correspond to transitions from different upper quantum states with quantum numbers nu = 3, 4, 5, 6, etc. to a common lower state whose quantum number is n1 = 2. The wavenumbers of the transitions are given by the Rydberg formula, where R is called the Rydberg constant. Use figure 4.26, page 125 in your text to identify nu for each of the lines in your table. For each of your observed line assignments (nu and í), use equation (2) to calculate a value for the Rydberg constant, R, in wavenumber units (cm-1). Average the results for R, and answer the related questions on the report sheet. Experiment 2: Flame Tests Obtain a small sample (~1 mL) of each of the six unknown solutions in labeled test tubes. Set up a propane torch and adjust it to give a stable, blue flame with an inner cone. Do not leave the flame unattended. Use a clean wire loop to test each solution separately in the flame. Carefully rinse the loop with distilled water between samples. Note the distinctive color emitted by each sample as it is being vaporized, and match it to one of the metals listed in the background information. Identify the metal in each unknown on the report sheet 19 Experiment 3: Emission Spectra of Gases A spectral lamp containing an unknown gas will be set up for viewing through a simple spectrometer. Notice the pattern of colored "lines” that correspond to the emission wavelengths that have been dispersed. Sketch the pattern on the sheets provided and place them in your notebook, including the color of each line. Refer to the attached plots of visible emission spectra for several gases. Match the pattern of colored lines that you observed with one of the provided spectra. Identify the unknown gas on the report sheet. Emission Spectra of Some Gases Violet Blue Green Yellow 20 Orange Red 21 Name: Report Sheet Atomic Spectroscopy I. Rydberg Constant (R) Lower quantum number n1 Measured Wavelength (nm) Wavenumber (m -1) Upper quantum number: nu R (m -1) 1. Show how you calculated R for you first line: 2. Your average value for R 3. Your standard deviation of R values 4. Does your average value for R agree with the accepted value, 1.097 x 107 m-1, within ± 1 standard deviation? Suggest method(s) that could be used to improve the agreement. 22 II. Flame Tests 1. Identify each of the unknowns by completing the following table: Compounds flame color unknown # SrCl2 BaCl2 NaCl KI CuCl2 LiOH 2. Estimate (not calculate) the emission wavelengths of Li, Na, and Ba atoms by matching the flame colors that you observed with the spectral scale shown below. Which of these types of atoms appears to emit photons with the lowest energy? 3. Write the electron configuration for the ground state of K atoms: K atoms in an excited electron configuration, [Ar] 5p1, cause the violet emission that you observed. K atoms may also be excited to the [Ar] 4p1 configuration. Is the 4p164s1 transition at a longer, shorter, or the same wavelength as the 5p164s1 transition? III. Emission Lines Sketch the spectrum that you observed. Unknown gas #_____ Identity___________ 23 Experiment 4. Spectrophotometry Purpose: This lab is designed to introduce you to the basics of measuring how light interacts with matter. Topics to be covered include: • Why materials appear to be different colors. • How the transmittance and adsorption of light varies with the amount of material in the path of the light. • The origin of Beer’s Law. • How amounts of chemicals can be quantified using Beer’s Law. Background This lab is designed to help you discover the concepts behind the lab as you perform the experiments. Thus I will not give you a background, you must discover these things on your own! What you do need to know is how to run the spectrophotometer, the instrument that you use to acquire the data for this lab. Experimental Procedure 1. If the spectrometer has a power cord, plug this cord into the socket. (This is only for Red Tide USB 650 Spectrometers.) 2. Connect SpectroVis Plus or Red Tide spectrometer to the computer using the USB cable provided. If you have a SpectroVis Plus spectrometer (No power cord), you can go on to step 3. If you have a Red Tide spectrometer (Power cord) it may take a minute or two for the computer to recognize the spectrometer and install the proper USB device. Wait for it. 3. Now Start Logger Pro. Once Logger Pro starts, you should see a screen with a bright rainbow. a. Look at the X axis. This tells you the wavelength of light, in nanometers, of each of the colors you observe. b. Go to the report sheet and report the wavelength of the colors blue green yellow and red. c. Look at the Y axis. If the Y axis is not in % transmittance take the following steps: Click on ‘Experiment’-‘Change Unit’-‘Spectrometer 1’ - ‘% Transmittance’ The Y axis should now read Transmittance (%). 24 What is % transmittance? % transmittance is a measure of how much light is reaching the detector relative to how much light reaches the detector when there is nothing in the light beam to absorb the radiation. 100% transmittance means that 100% of the light reaches the detector (or 100% of the light is transmitted through the material). 0% transmittance means that 0% of the light reaches the detector (or 0% of the light is transmitted through the material). Before we can measure % transmittance, we need to calibrate the spectrometer so the computer knows what the levels on its sensors correspond to 100% transmittance (All of the light hitting the sensor) and 0% transmittance (no light hitting the sensor). We will do this now. Check that there is nothing in the sample holder - the square hole in the middle of the spectrometer box. Once you have emptied the sample holder take the following steps: • Click ’Experiment’ - ‘Calibrate’ - ‘Spectrometer 1’ • You should see the light turn on, and a window comes up saying that the spectrometer must warm up for 90 seconds before it is properly calibrated. Don’t skip this step. When the warmup is compete, the window will say ‘Put a blank Cuvette in the device’. • Since we will not be using a cuvette in our first experiment, do not put anything in the device and click on the ‘Finish Calibration’ button. • Click on the ‘OK’ button. The machine is now calibrated. Experiment 1. Transmittance of light and color At your lab station you should have three different colors of plastic sheets. Now, remembering that 100% transmittance means that 100% of the light is transmitted through a material, and by knowing the wavelengths that the different colors correspond to, predict the transmittance spectra of your three different sheets of plastic on your report sheet and have your instructor initial your predictions before you go any further. Once you have made your predictions, do the experiment. • Cut a piece of plastic from the sheet about 1 cm wide and place it in the sample holder of the spectrometer in front of the light source. • Click on the Green ‘Collect’ button at the top of the screen. • You should now have a red line across your spectrum that displays the actual Transmittance spectrum of the plastic • Record the spectrum for each color on your report sheet Then, on your report sheet, explain the correspondence between the color of light that is transmitted through an object, and the transmittance spectrum. 25 Experiment 2. The relationship between transmittance and the amount of absorbing material As you might expect, if you increase the amount of absorbing material, the amount of light that gets through the material will decrease. • Choose any one color, and cut five more sheets of plastic the same size as your first sheet. • Obtain a new spectrum for a single sheet of plastic, as you did in experiment 1. • Locate the table of transmittance values (left side of screen). Move the slider for this table up and down until you locate a wavelength that has a % transmittance of about 60%. Record this wavelength on your report sheet. • The math will be a whole lot easier if we change from % Transmittance to simply T, or fraction of light getting through the sample. Do this by dividing your % T numbers by 100% so your get a simple fractional number. • On your reportsheet predict the fraction of light that will be transmitted when you have 1, 2, 3, 4, and 5 sheets of plastic in the light beam. Have your instructor initial your predictions before you go any further. • Now do the experiment. Record the %transmittance values for 0, 1, 2, 3, 4, and 5 sheets of plastic at your chosen wavelength, then calculate the transmittance of light (T) using the equation T = %T/100% • Finally make a rough plot of this data on your report sheet. Examine this final plot. Try to come up with an equation that you can use to predict Ttotal from the number sheets with a T of T1, and write this equation on your report sheet. Make sure you compare your equation to the real data to see if the equation and the data fit with one another. Feel free to consult with your instructor if you can’t come up with a workable equation. Your equation should have a number raised to a power in it, so it is an exponential function. That is why your %T data is curved, because it follows an exponential curve. Scientists are always looking for ways to transform non-linear, curved data, into nice simple linear functions so they can make a nice linear predictions from the ‘line of best fit’. Thinking back to algebra, how do you get rid of exponential functions and make them linear? Hopefully you remember that taking a log of an exponential function gets rid of the exponent. Do that now: Take the log of T and plot that against the number of sheets. At this point you should have a nice linear plot. The only drawback is that the Y values have negative numbers, and most people like to work with positive numbers. How 26 do we turn negative number into positive numbers? By multiplying by a negative 1. Do this to your data and plot the data one more time. Thus the complete transformation to change our %T data into a nice positive data that is linear and directly proportional to the amount of material is -log(%T/100%) -or- -log(T) This mathematical transformation, -log(T), is called Absorbance. While it sounds like it will be a real pain to calculate -log(%T/100%) for every data point, the nice thing about the computer is that you can tell the computer to do this calculation for you, so you never have to do by had again. Let’s set the spectrophotometer to record absorbance instead of %T. Click ‘Experiment’-‘Change Units’-Spectrometer 1’ - ‘Absorbance’ Note: if nothing happens when you click on ‘Experiment’ You have to tell the computer to stop taking data by clicking on the red stop button at the top of the screen. So now we have discovered that -log(T) = Absorbance; and Absorbance is directly proportional to the amount of light absorbing material in the light beam, and this can be stated mathematically as: A = -log(T) = K × light absorbing molecules. Where K is some proportionality constant that could be found from the slope of our line of best fit. Notice the inverse relationship between absorbance and transmittance. When light is passes through a material and is not absorbed, the T or %T is high, and the A or absorptivity is low. On the other hand when light is absorbed by a material, little light gets through the material so the T or %T is low, but the absorptivity is high. In Experiment 2 you increased the amount of light absorbing molecules by putting more sheets of plastic in the light beam. This corresponds to making the amount of plastic that the light had to go through thicker and thicker. Thus we can restate the above equation as: A = K × thickness of material The term ‘thickness of material’ is called ‘pathlength’ and often abbreviated ‘R’. So: A=K×R If the light absorbing material is a chemical dissolved in a solute, what is another way we can increase the number of light absorbing molecules in the light beam? Of course, we can increase the concentration of the absorbing molecules in the 27 solute. At this point you could do another set of experiments exactly the same as the last, only instead of increasing the number of light absorbing molecules by adding more strips of plastic, you simply increase the concentration of molecules in the solution. Since the results are exactly the same, I won’t make you do this again. Instead I will cut directly to the final equation: A = K’ × concentration or A = K’ × c Just as we got the ideal gas law equation by combining equations for the individual gas laws, we can combine our two absorbance equations into one more general equation: A = K” × R × c This is called Beer’s law. Just in case you want to know the connection with Beer. “The law was discovered by Pierre Bouguer before 1729. It is often mis-attributed to Johann Heinrich Lambert, who cited Bouguer's Essai d'Optique sur la Gradation de la Lumiere (Claude Jombert, Paris, 1729) — and even quoted from it — in his Photometria in 1760. Much later, August Beer extended the exponential absorption law in 1852 to include the concentration of solutions in the absorption coefficient.” (Wikipedia - ‘BeerLambert Law’, Jan 17, 2011.) In chemistry for aqueous solutions the pathlength is usually given in cm, and the concentration is usually given in M. In this case the K is called Molar Absorptivity and the equation is given as: A=å×R×M Since A is a unitless number, the constant (å) and has units of L/(mole@cm) to make the units in the above equation cancel. (Note: å values will change at different wavelengths just as the Absorbance values change at different wavelengths. If you want to use this equation to calculate the concentration of an unknown sample, you must use the same wavelength to measure absorbance in both the standard, which you know the concentration of , to calculate å; and in the unknown sample.) 28 Experiment 3. Exploring Beer’s Law in a Two-Component System • • • • • • • • • • • • • • • • • • Make sure your spectrometer is switched over to measure absorbance. Since the spectrometer has been sitting, run the calibration again. This time, since we will be running a sample in a cuvette that has water in it, when the calibration program asks to ‘place a blank cuvette in the device, insert a cuvette that contains only water. Note: Place the spectrophotomer so that you can read the name on it left to right, then - If you are using a SpectroVis Plus spectrometer, the cuvette should be oriented so the clear sides face the right and left sides of the sample holder. If you are using a Red Tide spectrometer, the cuvette should be oriented so the clear sides face front and back in the sample holder. Remove the cuvette from the spectrometer and rinse it three times with a blue dye solution. Obtain the absorbance spectrum of the Blue Dye solution. Sketch this spectrum on the report sheet Obtain an exact absorbance value for the blue dye at the wavelength with the maximum absorbance, and record these values (Wavelength and absorbance) on your report sheet. Given that the dye concentration is .001M and the cuvette has a 1 cm pathlength, determine the å of blue dye at this wavelength. Remove the cuvette from the spectrometer and rinse it 3 times with the yellow dye solution. Obtain the absorbance spectrum of the Yellow Dye solution. Sketch this spectrum on the report sheet Obtain an exact absorbance value for the yellow dye at the wavelength with the maximum absorbance, and record these values (wavelength and aborbance) on your report sheet. Given that the dye concentration is .001M and the cuvette has a 1 cm pathlength, determine the å of yellow dye at this wavelength. Each person in your group should now obtain their own unknown. Each person should rinse the cuvette three times with the unknown and obtain the absorbance spectrum of their unknown. Sketch this spectrum on the report sheet. Explain the relationship of the color of the unknown to the absorption spectrum of the unknown. ie: what color is the sample? Explain this by observing the absorbance spectrum. Explain the relationship between the unknown and the blue and yellow dye solutions by comparing the absorbance spectra of the blue and the yellow standard dye solutions to the spectrum of the unknown. Obtain exact absorbance values for your unknown sample at the two 29 • wavelengths that you used to calculate the å values for the yellow dye and blue dye, and record these values on your report sheet. Use the absorbance values at these wavelengths, and the å values derived above to determine the concentration of the blue and yellow dyes in your unknown solution. This last problem is actually a bit of an oversimplification. Since the blue dye has a slight absorbance at the yellow dye’s maximum, and vice-versa, this is actually a two component system that needs to be solved with two equations and two unknowns. If you are familiar with handling two equations and two unknowns from a math class, go ahead and try it. If you don’t know how to do this, I won’t make you worry about this complication until you get to Analytical Chemistry! 30 Name: _______________________ _______________________ Report Sheet Spectrophotometery Experiment 1. Transmittance of Light and color 1. What is the wavelength range of Blue light ________ (nm) Green Light ________ Yellow Light ________ Red light ________ Prediction 1. Transmittance of Yellow Plastic (Initialed by Instructor) Prediction 2. Transmittance of Red Plastic (Initialed by Instructor) 31 Prediction 3. Transmittance of Blue Plastic (Initialed by Instructor) Actual Results Transmittance Spectrum of Yellow Plastic Transmittance spectrum of Red Plastic 32 Transmittance spectrum of Blue Plastic Explain the correspondence between the color of light that passes through an object, and the peaks in the transmittance spectrum of the object. Experiment 2. The relationship between transmittance and the amount of absorbing material Color of plastic you are using for this experiment? Wavelength at which you have 60% transmittance? _______ Prediction 4. - Fill in the following table: Number of sheets T = %T/100% 0 1.0 1 .6 2 3 4 5 Instructor initials: ______________ 33 Using the same wavelength and color plastic that you used for your predictions, do the experiment. Experimental Values - Fill in the table Number of sheets T = %T/100% 0 1 2 3 4 5 Plot of Transmittance vs amount of material Equation that relates Ttotal to Number of sheets of plastic with a given T1: 34 Plot of log(T) vs. amount of material Plot of -log(T) vs. amount of material 35 Experiment 3. Exploring Beer’s Law in a Two-Component System Sketch of Blue Dye spectrum Wavelength of maximum absorption of blue dye: ________________ Absorbance of Blue dye at this wavelength: ___________________ å of Blue dye at this wavelength: _________________ Show how you calculated å Sketch of Yellow Dye Spectrum Wavelength of maximum absorption of yellow dye: ________________ Absorbance of Yellow dye at this wavelength: ___________________ å of Yellow dye at this wavelength: _________________ Show how you calculated å 36 Unknown data Name of person doing unknown: _____________ Number of unknown: ___________________ Sketch of Unknown Spectrum 1. Explain the relationship between the color of the unknown and the absorbance spectrum above. 2. Explain the relationship between the unknown and the blue and yellow dyes. 3. What are the absorbances values for the unknown at the wavelengths you used to calculate the å values for the yellow dye and blue dye? Blue Max? Wavelength Yellow Max?Wavelength nm nm Absorbance Absorbance 4. What are the concentrations of blue and yellow dye in your unknown solution? Show work Blue Yellow 37 Experiment 5. Identification of Unknown Solutions Purpose: In this experiment, you will learn: i how physical and chemical properties can be used to identify substances i how deductive logic is used in the lab i how litmus paper and other simple chemical tests work to identify substances Background Many substances have unique chemical and/or physical properties which allow the chemist to identify the substance by simple observations. Most students can recognize solid KMnO4, elemental copper and elemental gold by sight, gaseous H2S and ammonia by odor, and nitric acid by its unique reaction with elemental copper. Many other substances require a sequence of tests and deductive confirmation or elimination to identify. In this experiment, you will be provided with twelve aqueous solutions, all of which are clear and colorless, which you will identify through a series of chemical and physical analyses. The following is a list of the twelve solutions: HNO3 (aq) NaOH (aq) NH3 (aq) NaCl (aq) NaC2H3O2(aq) H2SO4(aq) LiOH (aq) K2SO4 (aq) NH4Cl (aq) HC2H3O2 (aq) HCl (aq) Ba(OH)2 (aq) Note that four of the compounds are acids, four are bases, and four are salts. Identify which are which from the above list before coming to the lab. Also note that three contain chloride ion, two sulfate ion, and two have distinctive odors. Identify these and record them in your notebook before coming to the lab. In the lab, you will obtain portions of each of the unknown solutions, classify them as acids, bases, or neutrals, and then run further tests to identify each unique compound. Follow your experiment carefully, with an eye on the list of possible compounds. As it sometimes happens, a compound may be identified by the fact that it did not react positively to any of the test procedures. 38 At the end of the experiment, you will be asked to fill out a report sheet, identifying each of the twelve solutions, and presenting information on how you deduced the identification. Before coming to the lab, review the chemistry of the next section, and plan a strategy for solving this twelve-solution problem on the most efficient sequence of tests. Prepare your notebook by setting up tables and gathering data. Chemical analyses Litmus paper: The litmus molecule has two distinct colors, depending on the acid-base condition of the molecule. The acid form is red and the base form is blue. Paper which is impregnated with one form can be used to identify compounds which have the opposite acid-base character. Thus, blue litmus paper turns red when it is wetted with an acid, while red litmus turns blue when wetted with a base. Neutral solutions do not change either color of paper. Note that a solution which does not change the color of blue litmus paper may be either basic or neutral, but it cannot be acidic. Only when a change occurs can a positive identification be made. BaCl2 (aq): An aqueous solution of barium ion will react with sulfate ion in solution to form a white precipitate. Ba2+ (aq) + SO42-(aq) 6 BaSO4 (s) This reaction can be used to determine the presence of sulfate ion in neutral and acidic solutions, and can be used in a reverse fashion by the addition of sulfuric acid to a solution suspected of containing barium ion. AgNO3 (aq): An aqueous solution of silver ion will react with chloride ion to form a white precipitate. Ag+ (aq) + Cl- (aq) 6 AgCl(s) To a lesser extent it will also react with sulfate ion to also form a white precipitate 2Ag+ (aq) + SO42- (aq) 6 Ag2SO4(s) So it should NOT be used with solutions that you have already identified as containing sulfate. It will also react with bases to form solid AgOH, so this test should be used only with acids and neutral salt solutions. Physical analyses Color and odor can be used to identify some unknown solutions, although in this experiment, all solutions are colorless. Odor, however, can be used for several of the compounds. As an example, acetic acid is recognizable by its characteristic vinegar odor. Conversely sodium acetate, a salt prepared from acetic acid, will not have that same odor unless the acetate ion is converted back to acetic acid by a neutralization process. 39 C2H3O2- (aq) + H+ (aq) 6 HC2H3O2 (aq) In a like manner, ammonium ion can be converted to the recognizable ammonia. NH4+ (aq) + OH- (aq) 6 NH3 (aq) + H2O (l) Procedure The twelve solutions are located in squeeze bottles along the side bench of the lab and each is labeled with an identifying number. The other solutions needed for the tests are located in dropper bottles in the hood. Your instructor will demonstrate the proper use of litmus paper and micro test tubes, as well as techniques for testing the odor of a compound. Place twelve test tubes (standard and micro can be used) in a test tube rack and obtain about a milliliter of each of the unknowns (do not measure the volume each time - measure once then estimate). Be sure to label each test tube with the identifying number of the solution placed in the tube. Test each solution with litmus paper to classify the compounds as acidic, basic or neutral. Record your results. Check for identifying odors for the acids and for the bases. This will provide confirming evidence, identifying two of the unknowns. Record your results. Continue to work with the remaining acids. Test them for chloride or sulfate ions, and confirm the presence of two more of the acids. After a test solution has been added to one of the unknowns, the mixture should be poured out, the test tube rinsed with laboratory water from your wash bottle, and a new one milliliter aliquot of unknown obtained for further testing. Do not, however, waste the unknown solutions. Identify the fourth acid (HOW?), and record your results. Identify each of the four neutral salt solutions by determining which one contains sulfate ion, which chloride ion, which ammonium ion and which acetate ion. See the initial discussions in this handout for the chemical analyses. Finally, identify each of the remaining basic solutions (HOW?) Check with your instructor if you have problems and need some ideas. 40 Name:__________________ Report Sheet Identification of Unknown Solutions Identify which bottle number corresponds to each of the following unknown compounds. Also indicate the results of the litmus test for each compound (turned red, blue, neither), and write a description (comment or chemical equation) of how you deduced the identity of the compound. Compound Number Litmus Description HNO3(aq) ______ _______ ___________________________ NaOH(aq) ______ _______ ___________________________ NH3(aq) ______ _______ ___________________________ NaCl(aq) ______ _______ ___________________________ NaC2H3O2(aq) ______ _______ ___________________________ H2SO4 (aq) ______ _______ ___________________________ LiOH (aq) ______ _______ ___________________________ K2SO4 (aq) ______ _______ ___________________________ NH4Cl (aq) ______ _______ ___________________________ HC2H3O2 (aq) ______ _______ ___________________________ HCl (aq) ______ _______ ___________________________ Ba(OH)2 (aq) ______ _______ ___________________________ 41 Experiment 6. Molecular Models Purpose In this experiment you will visualize molecular structures in terms of VSEPR theory by building models of various molecules and ions. Background The building of molecular models can be very beneficial, and can enable you to visualize molecular structures and reactions in terms of bonding theories and structure concept such as VSEPR, Valence Bond Theory, and Molecular Orbital Theory. The construction of models also provides a better understanding of the three-dimensional characteristics of molecules and may give insight into the relationship between structure and bonding, and between structure and reactivity. In order to build a molecular model, one must first determine the expected geometry and hybridization at each atom using VSEPR Theory and Valence Bond Theory. The appropriate components (i.e. atom centers, orbitals, sigma bonds, pi bonds, etc.) are chosen to construct the molecule in question. Since we simply sticking toothpicks into Styrofoam balls, you will have to pay attention to try to get your bond angles approximately right. Procedure Part I Identification of geometrical shapes around atomic centers To show that you have a clear concept of how to build the different geometries, take five Styrofoam balls and push in toothpicks to construct one model of each of the following shapes: linear, trigonal planar, tetrahedral, trigonal bipyramidal and octahedral. Show these to the instructor for approval before going on to Part II. 42 Part II Molecular shapes and specific molecules Follow this procedure for each of the molecules or ions listed at the end of this section. 1. 2. Draw the Lewis electron dot formula. Draw the resonance forms if they are needed. Determine the number of regions of electron density around the central atom. (Note: a region of electron density may be a lone electron, a lone electron pair, a bond electron pair, or a multiple bond.) 3. Assign the geometric configuration associated with the number of regions of electron density according to the following table: Number of regions of electron density geometric configuration bond angles 2 linear 180 o 3 trigonal planar 120o 4 tetrahedral 5 6 trigonal bipyramidal octahedral 109.5o axial-axial 180o axial-equatorial 90o equatorial-eq. 120o 90o 4. Arrange the regions of lone and bonded electron density so as to minimize the magnitude of repulsive energy using the following basic premises: a. magnitude of repulsions: lone-lone » lone-bond > bond-bond b. if the bond angle between regions of electron density is greater than 90o, repulsions are negligible. 5. On the basis of the positions of the bonded regions of electron density, assign the molecular structure. 6. Determine the appropriate hybridization of the central atom or atoms in order to give the proper geometric configuration of electron density around these atoms. 7. Choose the appropriate atom center for the central atom or atoms which will 43 produce the desired electronic geometric configuration. Attach the sigma bond and other orbital parts as needed. Atoms other than hydrogen which are attached to these central atoms should be represented by other black balls. If enough extra orbital attachments are available, use these to represent the non bonded lone pairs on the outlying atoms. 8. Write down descriptive information such as the molecular shape, the number of lone pairs of electrons on the central atoms, the approximate bond angles, where double or triple bonds exist between atoms, where delocalized or resonance structures exist, whether the molecule is polar or non-polar. 9. After a model has been constructed, the instructor will check the model, ask appropriate questions, and then initial your report sheet. In some cases, you can construct more than one model at a time, or make minor modifications to a model to show a sequence of structures to the instructor while he is at your station. In each lab section, four molecules will be chosen for detailed answers on the report sheet. These will be announced at lab time. However, you ought to work out the same answers in your own lab notebook for all the others you make. We will ask the same questions as are listed on the report sheet for all models you make. The molecules or ions to be constructed are A. BeCl2 G. PCl5 M. N2H4 S. HCN B. BCl3 H. BrF3 N. C2H6 T. CO C. CH4 I. SF4 O. C2H4 U. CO2 D. NH3 J. SF6 P. C2H2 V. SO2 E. H2O K. XeF2 F. PCl3 L. XeF4 Q. H2CO W. SO3 ( C is central) R. CH2F2 X. CO32- 44 General Guidelines for Drawing Lewis Structures 1. Lewis structures are only useful for covalent bonding. Don’t use for ionic compounds 2. Count the total number of valence electrons all the atoms of the molecules. Do not count core electrons. Also remember to add electrons if the molecules is an anion or subtract electrons if it is a cation. 3. Arrange atoms symmetrically, with the least electronegative atom in the center and the more electronegative atoms around the outside. F and H should always be on the outside with a single bond. Cl, Br, and I are also usually around the outside with single bonds. 4. C, N, O, and F, obey the octet rule. C, N, and O are frequently involved in double or triple bonds. 5. In radicals (molecules with an odd number of electrons) use pairs of electrons for each bond, then place the unpaired electron on the least electronegative atom or in a multiple bond. 6. If a single arrangement of atoms can have double bond(s) in more than two equivalent locations you have resonance forms present. 7. Nonmetals from the third or higher period may have an expanded octet, if they are the central atom in a structure. Place extra lone pairs on this atom. In cases of multiple possible structures the one with the lowest formal charge is best. 8. Be, B, and Al may form compounds with incomplete octets. In this case they need to be the central atom. 9. Begin to recognize groups of atoms that are frequently bonded together in different structures. Use these as building blocks to speed up your solution to any complicated structure 10. When finished check your final structure by double checking the total number of valence electrons 45 Summary of VSEPR Orbital and Molecular Geometries # electron regions Hybridization Non-bonding Pairs Orbital Geometry Bond Angles Molecular Geometry 2 sp 0 linear 180 Linear 3 sp2 0 1 trigonal-planar trigonal-planar 120 <120 Trigonal planar V-shaped 4 sp3 0 1 2 tetrahedral tetrahedral tetrahedral 109 <109 <109 Tetrahedral Trigonal pyramid V-shaped 5 dsp3 0 1 2 3 120&90 <120&90 90 180 Trigonal bipyramid See-saw T-shaped Linear 6 d2sp3 0 1 2 90 <90 90 Octahedral Square pyramid Square planar trigonal bipyramid trigonal bipyramid trigonal bipyramid trigonal bipyramid octahedral octahedral octahedral 46 Names: Report Sheet Molecular Models Have your instructor initial next to each model listed below to verify that you have constructed it correctly. Your instructor will indicate which four of the models you should consider for the detailed questions on the next page. I. Geometrical Shapes 1. Linear______________ 2. Trigonal planar_______________ 4. Trigonal bipyramid____________ 3. Tetrahedral __________ 5. Octahedral __________ II. Molecules 1. BeCl2____________________ 2. BCl3 _____________ 3. CH4 _____________ 4. NH3 _____________ 5. H2O _____________ 6. PCl3_______________________ 7. PCl5 _____________ 8. BrF3______________ 9. SF4 _____________ 10. SF6 ______________ 11. XeF2 ____________ 12. XeF4____________ 13. N2H4 ___________ 14. C2H6 ____________ 15. C2H4 ____________ 16. C2H2 ____________ 17. H2CO ____________ 18. CH2F2 ___________ 19. HCN _____________ 20. CO _____________ 21. CO2______________ 22. SO2_____________ 23. SO3 ______________ 24. CO32- ___________ 47 MOLECULES Chemical Formula Lewis dot structure # of regions of e- density around central atom Geometrical arrangement of e- regions Drawing of arrangement of e- regions shape of the molecule hybridization of the central atom drawing of the molecule with bond types and angles labeled polar or nonpolar molecule? 48 Experiment 7. Isomers, Hybridization, and Molecular Orbitals Purpose: In this experiment you will: build models of molecules examine different isomers of molecules with the same molecular formula relate atom hybridization to molecular structure investigate computerized models of molecular orbitals Background In last week’s lab we built models of molecules and learned about different molecular shapes that occur as a result of the different arrangements of atoms and lone pairs. This week we will build models to expand on the shapes we learned last week. We will see that as molecules become more complex, multiple spatial arrangements of atoms become possible. Molecules that have the same molecular formula but different molecular shapes are called isomers. We shall build models of molecules and learn to recognize different types of isomers. Again, you will use Lewis structures to determine the number of electron regions, and from this, the geometrical arrangement of electron pairs as well as the molecular shape. This week we will also identify what type of hybrid orbitals are used to form covalent bonds. A summary of Valence Shell Electron Pair Repulsion (VSEPR) theory is provided in the table on the following page. For this lab, we will use models that already have defined shapes. Based on the number of electron regions around an atom, you will need to choose the correct model piece. The pieces with small pegs represent atoms and the tubes will connect atoms, representing covalent bonds. Remember, single bonds rotate freely, but double bonds do not. Double bonds cannot rotate because the p orbitals that overlap to form ð bonds must be oriented parallel to each other. Different types of isomer exist. Once you have drawn Lewis structures and built models, use the flow chart on the next page to determine the type of isomers you have modeled. 49 50 Procedure: For stations 1-4: 1. 2. 3. 4. 5. 6. 7. 8. First draw a Lewis structure, or if possible, multiple Lewis structures. Determine the number of electron regions around the central atom(s). From the number of electron regions, determine the geometry of the electron regions and the hybridization of the central atom(s). Build all possible molecular models. These models use atoms that have pegs pointed in the different orientations, so you will need to consider the hybridization of the central atom(s) and choose the correct piece from the model. Use tubes to make covalent bonds connecting atoms. You may choose any available color to represent the various atoms, but use different colors for different elements. Using the isomer flow chart, determine what type of isomers you have. There may be just two isomers or up to five isomers possible, depending on the molecular formula. It may be possible to have more than one type of isomer for a given molecular formula. Draw each isomer, using hash and wedge bonds to show the three dimensional structure. Determine whether each isomer is polar or non-polar. If the molecule is polar, draw the net dipole moment (remember than we draw dipole moments in the direction of electron flow—pointing toward the more electronegative atoms). Have each set of isomers checked and signed off by an instructor. Before moving to the next station, please take apart the models. For station 5: Models of various molecules have been built for you. Compare isomers and match the models to the structures drawn. Answer questions found in this section. Please do not take these structures apart. For station 6: A computer model of the molecular orbitals can be found on the laptops at station 6. Examine the computer model and answer questions. 51 Include the following information in your notebook (this part doesn’t need to be turned in). Station 1. C5H12 Draw all possible Lewis Structures How many electron regions does each central atom have? What types of isomers are there? Geometrical arrangements of electron regions: Label each isomer as polar or nonpolar Hybridization of central atoms: If polar, draw the net dipole moment on the molecule. C2H2Cl2 Draw all possible Lewis Structures How many electron regions does each central atom have? What types of isomers are there? Geometrical arrangements of electron regions: Label each isomer as polar or nonpolar Hybridization of central atoms: If polar, draw the net dipole moment on the molecule. 52 Station 2. SeF2Cl4 Draw the Lewis Structure Draw all possible isomers How many electron regions does each central atom have? Geometrical arrangements of electron regions: What types of isomers are there? Molecular shape: Label each isomer as polar or nonpolar Hybridization of central atoms: If polar, draw the net dipole moment on the molecule. SeF3Cl3 Draw the Lewis Structure Draw all possible isomers How many electron regions does each central atom have? Geometrical arrangements of electron regions: What types of isomers are there? Molecular shape: Label each isomer as polar or nonpolar Hybridization of central atoms: If polar, draw the net dipole moment on the molecule. 53 PF3Cl2 Draw the Lewis Structure Draw all possible isomers How many electron regions does each central atom have? Geometrical arrangements of electron regions: What types of isomers are there? Molecular shape: Label each isomer as polar or nonpolar Hybridization of central atoms: If polar, draw the net dipole moment on the molecule. XeF2Cl2 Draw the Lewis Structure Draw all possible isomers How many electron regions does each central atom have? Geometrical arrangements of electron regions: What types of isomers are there? Molecular shape: Label each isomer as polar or nonpolar Hybridization of central atoms: If polar, draw the net dipole moment on the molecule. 54 Station 3. C6H4F2 Draw all possible Lewis Structures. How many electron regions does each central atom have? What type of isomers are these? Geometrical arrangement of electron regions: Label each isomer as polar or nonpolar. Hybridization of the central atoms: If polar, draw the net dipole moment on the molecule. C6H10Cl2 Lewis Structure. Draw all possible isomers (Just focus on the relative orientation of bonds on the carbon atoms with chlorine atoms attached.) How many electron regions does each central atom have? Hybridization of the central atoms: Geometrical arrangement of electron regions: What type of isomers are these? 55 Station 4. CHFClBr Draw the Lewis Structure. How many electron regions does the central atom have? Geometrical arrangement of electron regions: Draw all possible isomers. What type of isomers are these? Molecular shape: Label each isomer as polar or nonpolar. Hybridization of the central atoms: If polar, draw the net dipole moment on the molecule. Imagine the paper with colored dots represents a binding site for a specific molecule. How many of your isomers will ‘fit’ into this site (by matching up the colors)? 56 Station 5. Structures of optical isomers are provided. Match each molecule to the structure drawn below. For these models, · black represents carbon · white represents hydrogen · blue represents nitrogen · red represents oxygen. Optical isomers are mirror images that are not superimposable. Align each pair of isomers so that they mirror each other. For each pair of optical isomers, identify the atom that is responsible for the different spatial arrangement. This is called a chiral atom (Hint: Chiral atoms have four different groups attached.) Indicate the chiral atom on each of the structures below. What is the hybridization of the chiral atom? For two of these pairs of optical isomers, there are also space-filling models of the molecules. Match the space filling models to the ball and stick models. Which type of model do you think is a better representation of the actual shape of the molecules? In which structure is it easier to identify the chiral atom? 57 Station 6. Molecular Orbitals A computerized model of the formaldehyde (H2CO) molecule is open on the computer. This model shows the shapes of the molecular orbitals. To view a particular molecular orbital, click on one of the orbitals listed in the lower left window (listed as 1A, 2A, 3A,…); once the desired orbital is selected, click update. In the other window, you can see the shape of this molecular orbital. You can drag the mouse and rotate the structure. Where on the molecule is the second lowest energy (2A) molecular orbital located? Where on the molecule is the 3A molecular orbital located? Which molecular orbital most closely represents the ð bond? Which atomic orbitals contribute the most to this molecular orbital (which atomic orbitals have the highest coefficients)? Does the 9A molecular orbital appear to be a bonding or an antibonding molecular orbital? 58 Names __________________ __________________ Report Sheet Isomers, Hybridization, and Molecular Orbitals Laboratory Station 1 1. C5H12 ___________ 2. C2H2Cl2 ___________ Station 2 3. SeF2Cl4 ___________ 4. SeF3Cl3 ___________ 5. PF3Cl2 ___________ 6. XeF2Cl2 ___________ Station 3 7. C6H10Cl2 ___________ 8. C6H4F2 ___________ Station 4 9. CHFClBr ___________ Station 5 10. alanine ___________ 11. carvone ___________ 12. thalidomide ___________ Station 6 13. H2CO ___________ 59 Station 1. Draw all of the isomers of C2H2Cl2. Label each as polar or nonpolar and, if polar, draw the dipole moment. What type(s) of isomers are these? Station 2. Draw all of the isomers of XeF2Cl2. Label each as polar or nonpolar and, if polar, draw the dipole moment. Why don’t we observe other isomers of this molecule, such as the one shown to the right? Station 3. Draw all of the isomers of C6H4F2. Label each as polar or nonpolar and, if polar, draw the dipole moment. What is the hybridization of the carbon atoms? What does this mean for the overall shape of the molecule? 60 Station 4. Draw all possible isomers of CHFClBr. What is the hybridization of the central atom? What type of isomers are these? Station 6. Which molecular orbital most closely represents the ð bond? Draw this molecular orbital. 61 Experiment 8. Copper Compounds Purpose: • • • In this experiment you will: prepare and make observations on a series of copper-containing compounds learn how to deduce chemical information from visual observations write equations describing observed reactions Background Most beginning chemistry students have an appreciation for the physical properties of a metal in its elemental state, but do not have a similar understanding of the many compounds formed by this metal. Your understanding of the experiment will be enhanced if, at each step, you ask yourself, and attempt to answer a series of questions concerning the experiment. For example: 1) What physical changes are occurring? 2) What chemical changes do these suggest? 3) How should we describe these changes in equation form? During this experiment, you will produce and isolate, in sequence, a series of copper species: Elemental copper in a processed form (starting material) Copper (II) nitrate in aqueous solution (equation A) Copper (II) hydroxide (equation B) Copper (II) oxide (equation C) Copper (II) sulfate in aqueous solution (equation D) Elemental copper in a non-processed form (equation E) Copper (I) iodide (equation G) 62 At each stage of the sequence, you will set aside a small portion of the reaction mixture for later comparison, and then carry the remaining mixture on through the next conversion. At the end of the experiment, you will compare the seven substances, and write net ionic equations describing each step of the sequence. The following formula unit equations describe the procedure: A) Cu (s) + 4 HNO3 (aq) Y Cu(NO3)2 (aq) + 2 NO2 (g) + 2 H2O (1) B) Cu(NO3)2 (aq) + 2 NaOH (aq) Y Cu(OH)2 (s) + 2 NaNO3 (aq) C) Cu(OH)2 (s) Yheat CuO (s) + H2O (g or l) D) CuO (s) + H2SO4 (aq) Y CuSO4 (aq) + H2O (1) E) CuSO4 (aq) + Zn (s) Y Cu (s) + ZnSO4 (aq) F) Zn (s) + 2 HCl (aq) Y ZnC12 (aq) + H2 (g) G) 2 CuSO4 (aq) + 4 KI(aq) Y 2 CuI (s) + I2(s) + 2 K2SO4(aq) H) I2 (s) + NaHSO3 (aq) + H2O (1) Y NaHSO4 (aq) + 2 HI (aq) Procedure The procedure for this experiment is lengthy and complicated, so make sure that you make careful notations of your observations. Also, label each of the products so that you can identify each at the end of the period. In preparation for the work, clean your six standard test tubes, two 250 mL beakers, two stirring rods, filter flask, Buchner funnel, and graduated cylinders. Obtain a sample of copper from your instructor. Experiment 1 Preliminary Observations of Elemental Copper Break off a small piece of the copper (the length of a grain of rice) and place it on a watch glass. Record your notes on its appearance, shape, color, etc. Place 0.35 to 0.45 g of the sample in a 250 mL beaker. 63 Experiment 2 Copper (II) Nitrate Note: carry out all parts of this step in the fume hood. Add 20 mL of 6 M HNO3 (aq) to the 250 mL beaker containing your elemental copper sample and cover the beaker with a plain watch glass. Allow the reaction to continue until all of the elemental copper has been converted to Cu2+ (aq) (at least 10 minutes). If any unreacted copper metal remains in the beaker after this time, notify your instructor. Remove the watch glass and carefully swirl the solution to expel the NO2 (g) that is formed during the reaction and then add about 25 mL of distilled water to the reaction mixture. The beaker may now be removed from the hood and taken to your desk. Pour about 3-5 mL of the solution into a standard test tube. Make notes on its appearance and continue with the experiment. Experiment 3 Copper (II) Hydroxide Measure out 20 mL of 6 M NaOH (aq) into a graduated cylinder. Slowly add about 12 mL of this base to the acidic copper (II) nitrate solution in the beaker, with constant stirring. Check to see if the solution is slightly alkaline. This is most easily accomplished by testing the solution with litmus paper. If the solution tests acidic, add 1 more mL of 6 M NaOH, and check again for acidity with litmus paper. Repeat this process until the solution is slightly alkaline. Avoid a large excess of base which could result in dissolving the product. Record all observations of the reaction in your notebook. Pour a few milliliters of the mixture into a second standard test tube. Make notes on its appearance, and continue with the experiment Experiment 4 Copper (II) Oxide Place the beaker containing the aqueous suspension of copper (II) hydroxide on your hot plate and set the dial to about 3. Heat the suspension until steam starts to form and then continue heating, with constant stirring, for about 10 minutes. This will assure total conversion of the hydroxide to copper (II) oxide, help coagulate the precipitate (sometimes referred to as digestion) and prevent loss of precipitate due to bumping. During the heating process, use your stirring rod to scrape any blue particles of precipitate that remain on the sides of the beaker down into the reaction mixture. When the reaction is complete, all of the blue color of the mixture should be gone, a brown-black solid should settle to the bottom of the beaker, and the solution should be clear. Pour off the 64 clear supernatant liquid, and wash the precipitate in the beaker with 50 mL distilled water. Let the precipitate settle and again pour off the supernatant liquid. Record all observations of the reaction. Transfer a small portion of the CuO solid (size of a pea) to one of the test tubes. Make notes on its appearance, and continue with the experiment. Experiment 5 Copper (II) Sulfate Slowly add up to 25 mL of 3 M H2SO4 (aq) to the beaker containing the CuO precipitate until the precipitate just dissolves. Very carefully stir the solution, if necessary, to assure complete reaction of the CuO. (You may not need the entire 25 mls.) Pour 3-5 mL of the solution into another standard test tube. Make notes on its appearance, and continue with the experiment. Experiment 6 Elemental Copper Pour half of the remaining CuSO4 (aq) into the other 250 mL beaker. Label one of them beaker #1, and the other beaker #2. The first will be used to generate elemental copper, while the second will be used to produce CuI. Weigh out about 1.0-1.2 g of zinc metal powder. While stirring the solution, slowly add the zinc to beaker #1. Be careful, the solution will get very hot. Continue to stir the solution until all the Cu2+ (aq) has been converted to copper metal (the solution becomes colorless), and until the acid attack on the zinc has subsided (hydrogen gas evolution decreases). Let the metal particles settle to the bottom of the beaker and then decant (pour off) about three-fourths of the supernatant liquid. Add 10 mL of 6 M HCl (aq) to the metal in order to dissolve any unreacted zinc. Heat gently, if necessary, to accelerate the reaction. After the zinc metal is totally reacted, add 50 mL of distilled water to the reaction beaker and stir. Set up a vacuum filtration apparatus with a Buchner funnel. Place a piece of filter paper into the funnel and filter the elemental copper. Rinse with two 10 mL portions of water. Transfer the filter paper, containing the elemental copper, to a watch glass. Make notes on its appearance and proceed with the rest of the experiment. Since this is an apparatus you will use again, make a diagram of vacuum filtration set-up in your lab notebook. 65 Experiment 7 Copper (I) Iodide To the contents of beaker #2, add 20 mL of 0.5 M KI (aq). While stirring the solution, add dropperfuls of 0.5 M NaHSO3 (aq) until all of the brown color is eliminated. Place the beaker on the hot plate and heat until it is steaming. Continue to heat and stir for five minutes, remove the beaker from the hot plate, and allow it to cool. Set up a vacuum filtration apparatus with a Buchner funnel. Place a piece of filter paper into the funnel and filter the CuI (s). Rinse the reaction beaker with two 10 mL portions of distilled water, pouring each rinse through the precipitate to rinse it. Draw air through the precipitate for a few minutes to dry it. Transfer the filter paper and precipitate to a watch glass. Make notes on its appearance and proceed to the last step. Experiment 8 Observations and Report Sheet Record, in your laboratory notebook, the physical condition of each of the copper containing materials. In particular, record the color and form (crystalline, metallic, amorphous) of each. After your observations are complete, dispose of your solid products in the ceramic jar above the sink and flush your remaining liquids down the sink drain with running water. For each product, write the appropriate set of net ionic equations to describe the reaction. For redox reactions, include the balanced half reactions and the overall net ionic equations. 66 Name: Report Sheet Copper Compounds I. Writing Equations Each of the following chemical equations describes one of the reactions that you carried out in this week’s laboratory assignment. For each, write in the space provided the ionic and net ionic equations that describe the reaction. For reactions A, E, and F also write the balanced oxidation and reduction half reactions. A) Experiment 2 Cu (s) + 4 HNO3 (aq) Y Cu(NO3)2 (aq) + 2 NO2 (g) + 2 H2O (l) B) Experiment 3 Cu(NO3)2 (aq) + 2 NaOH (aq) Y Cu(OH)2 (s) + 2 NaNO3 (aq) C) Experiment 4 Cu(OH)2 (s) YHeat CuO (s) + H2O (g or l) 67 D) Experiment 5 CuO (s) + H2SO4 (aq) Y CuSO4 (aq) + H2O (l) E) Experiment 6 CuSO4 (aq) + Zn (s) Y Cu (s) + ZnSO4 (aq) F) Experiment 6 Zn (s) + 2 HCl (aq) Y ZnCl2 (aq) + H2 (g) G) Experiment 7 2 CuSO4 (aq) + 4 KI (aq) Y 2 CuI (s) + I2 (s) + 2 K2SO4 (aq) 68 H) Experiment 7 I2 (s) + NaHSO3 (aq) + H2O (l) Y NaHSO4 (aq) + 2 HI (aq) II. Observations of Physical Properties Complete the following table by indicating your observations. Indicate whether solid compounds are metallic, crystalline, or amorphous. Compound Color Physical Form Cu Cu2+ NO2 Cu(OH)2 CuO Zn2+ H2 CuI 69 Experiment 9. Synthesis of a Cobalt Salt Purpose In this experiment you will synthesize an ionic compound that will be used in laboratory experiments during the next couple of weeks. The name of the compound is cobalt (II) oxalate dihydrate, and its formula is CoC2O4 . 2 H2O. Background Synthesis is a process by which a chemist prepares a compound of interest from other (usually simpler) elements or compounds. Several steps are normally required, depending on the complexity of the compound formed and the nature of the starting materials. In this experiment. the formation of the cobalt compound requires dissolving the starting materials, mixing them, precipitating the product. recovering the product by vacuum filtration, and removing impurities in the recovered product. The product will then be dried and massed to determine the percentage yield for the experiment. The final reaction today can be described by the following chemical equation: CoSO4(aq) + (NH4)2C2O4 (aq) + 2 H2O(l) Y CoC2O4 . 2 H2O(s) + (NH4)2SO4 (aq) RXN1 However, the starting materials for this synthesis are two hydrated forms of the cobalt (II) and oxalate ions: cobalt (II) sulfate heptahydrate, CoSO4 . 7 H2O (s) and oxalic acid dihydrate. H2C2O4 . 2 H2O (s), and do not appear directly in the above molecular equation. You actually weigh out CoSO4 . 7 H2O (s) and place this into water where the reaction shown below occurs: CoSO4 . 7 H2O (s) 6 CoSO4(aq) + 7 H2O(l) RXN2 Note that since the starting material in this reaction has 7 molecules of water bound for every one molecule of CoSO4, you must include the mass of these additional water molecules in the molar mass of this material. The oxalate is a bit more complicated. H2C2O4 . 2 H2O (s) itself does not like to dissolve in water, but it dissolves much better in a mixture of ammonia and water as shown in equation 3: H2C2O4 . 2 H2O (s) + 2NH3(aq) 6(NH4)2C2O4(aq) + 2 H2O (l) RXN3 70 Before coming to the lab, calculate the molar mass of each of the starting materials and the final product. Record these values in your notebook. These numbers will be needed to calculate the limiting reagent and theoretical yield from your starting masses. Procedure Weigh approximately 5.0 - 5.2 g CoSO4 . 7 H2O (s) on a piece of weighing paper to .001 g significance and place in another clean, dry 250 mL beaker. Add about 100 mL distilled water to the beaker and stir until all of the salt is dissolved. Weigh approximately 2.2 - 2.4 g H2C2O4 . 2 H2O (s) on a piece of weighing paper. Record your weight to .001 g significance, and place the solid in a clean, dry 250 mL beaker. Add about 100 mL distilled water and 2 mL of 7 M NH3 (aq) to the beaker. Stir the mixture until all the acid is dissolved. Warm the beaker slightly on a hotplate if necessary to dissolve the solid. Slowly pour the Co2+ (aq) solution, a few mL at a time into the oxalate ion solution with constant stirring. After all of the cobalt (II) ion solution has been added, place the beaker containing the mixture in an ice bath to induce and complete the precipitation of the product. Stir the reaction mixture occasionally to equilibrate the temperature and to effect the formation of larger more easily filtered particles. Allow the precipitate to settle in the reaction mixture and set up a vacuum filtration system with a Buchner funnel. Also prepare about 30 mL of ice cold distilled water by partially filling a 50 mL graduated cylinder and placing it in the ice bath to cool. Insert a piece of filter paper into the funnel and turn on the water aspirator vacuum. Slowly pour the supernatant liquid through the funnel transferring the solid with the last few milliliters. Rinse the beaker with about 10 mL of ice cold water and pour this over the precipitate. Repeat with a second 10 mL portion of cold water. This process will both facilitate total recovery of the precipitate and wash out impurities. Draw air through the funnel for a few minutes to partially dry the precipitate. Disconnect hose between flask and water tap BEFORE you turn off the water to turn off the vacuum. Transfer the filter paper containing the product to a small beaker. Carefully store the labeled beaker in the hood to allow the product to dry until the next laboratory period. 71 Before leaving the lab record the masses of the starting materials on your report sheet. Determine the limiting reagent and calculate the theoretical yield. Set up the remaining calculations on the report sheet. which will be completed once final data is collected during the next lab period. Check the results of your calculations with the instructor, who will initial the sheet. Next Laboratory Period Remove the CoC2O4 . 2 H2O (s) product from the hood (carefully!!). Weigh a clean, dry vial on the analytical balance. Transfer the product to the vial and reweigh to determine the mass of product obtained. Record this final product mass on your report sheet from last week calculate the percentage yield and turn in the report sheet. Retain the vial of product since you will use this salt for two more experiments. [NOTE: At the end of the term, during checkout, you should dispose of any remaining product in the container provided by the instructor.] 72 Name: Report Sheet Synthesis of CoC2O4@2H2O 1. Moles of CoSO4 A. Mass of CoSO4@7H2O used ____________________ B. Moles of CoSO4 produced in RXN 2 _________________ C. Calculation to find moles of CoSO4. (Show equation) 2. Moles of (NH4)2C2O4 A. Mass of H2C2O4@2H2O used ____________________ B. Moles of (NH4)2C2O4 produced in RXN 3 _______________ C. Calculation to find moles of (NH4)2C2O4. (Show equation) 73 3. Limiting reagent A. Moles of CoC2O4@2H2O produced in RXN 1 if CoSO4@7H2O is limiting reagent? ______________________ B. Show equation for above calculation: C. Moles of CoC2O4@2H2O produced in RXN 1 if H2C2O4@2H2O is limiting reagent? ________________________ D. Show equation for above calculation: E. Limiting Reagent? ________________________ 4. Theoretical yield A. Based on the above limiting reagent, what is your theoretical yield of CoC2O4@2H2O in grams? ____________________________(g) B. Show equation used to obtain the above value 3. % Yield A. Yield of CoC2O4@2H2O ___________________(g) B. % yield for reaction? __________________ C. Show equation for above answer 74 Experiment 10. Reaction Stoichiometry Purpose In this experiment you will determine the mass and percentage of cobalt in cobalt oxalate dihydrate by thermal decomposition. Background Many compounds upon heating decompose into an oxide of known composition. Such is the case with the cobalt salt you have synthesized. 3CoC2O4 . 2 H2O (s) + 2 O2 (g) Y Co3O4 (s) + 6 CO2 (g) + 6 H2O (g) In this lab you will start with a known mass of the oxalate salt, heat it until complete decomposition has taken place, and then determine the mass of the product. From the formula of the product, you can determine the mass of cobalt in the oxide and the percentage cobalt in the original oxalate salt. Procedure Wash and dry a crucible and lid. Place them on a hotplate set at high and heat for ten minutes to completely dry. At the end of the heating period remove the crucible and lid carefully from the hotplate and place on a casserole to cool for ten minutes. Take the cooled crucible and lid into the balance room and weigh them together to the nearest 0.001 g. Transfer about 0.3 g of powdered cobalt (II) oxalate dihydrate (your product in the vial) to the crucible and reweigh accurately to obtain the mass of the salt. Place the covered crucible containing the salt on the hotplate [set at high], and allow the crucible to heat for one hour. 75 At the end of the hour, remove the crucible and lid carefully from the hotplate, place it on the casserole to cool for ten minutes, and then reweigh to obtain the mass of the cobalt oxide product. Determine the mass of cobalt in your product from the measured mass of cobalt oxide and the known molar masses of cobalt and cobalt oxide. Using this and the mass of cobalt oxalate dihydrate that you started with calculate the (experimental) percentage cobalt in your cobalt oxalate salt. For comparison, calculate the theoretical percentage of cobalt in cobalt oxalate dihydrate using only the molar masses of these substances. Do the two results agree? Why or why not? Transfer your results and sample calculations from your notebook to your report sheet. 76 Name: Report Sheet Reaction Stoichiometry 1. Raw data A. Mass of salt (reactant) Mass of Crucible and salt ___________________g Mass of Crucible alone - ___________________g Mass of salt (CoC2O4@2H2O) B. Mass of Oxide (product) Mass of Crucible and product Mass of Crucible alone _____________________g ___________________g - ___________________g Mass of product (Co3O4) ___________________g 2. Data Analysis A. Mass of Co in oxide product (equals Co in starting reactant) ______________g B. Calculation for determination of Co in oxide product (or starting reactant): C. Experimental % Co in CoC2O4@2H2O salt __________________% D. Calculation for determination of experimental % Co in CoC2O4@2H2O salt: 77 E. Theoretical % Composition of Co in CoC2O4@2H2O? ___________________% F. Equation for determination of theoretical % Co in CoC2O4@2H2O salt: G. Based on how your experimental results compare to the theoretical results, comment on the purity of the CoC2O4@2H2O salt you analyzed. 78 Name(s)__________________ Chem 112L Equations Worksheet 1. Write balanced molecular, complete ionic, and net ionic equations for the reaction of Silver nitrate with Potassium iodide in aqueous solution. 2. Write balanced molecular, complete ionic, and net ionic equations for the reaction of Copper(II) chloride and sodium hydroxide in aqueous solution. 79 3. Write balanced molecular and complete ionic equations for the reaction of HClO4 and Mg(OH)2. (Hint: the net ionic reaction is H+(aq) + OH-(aq) 6 H2O (l) 4. Write balanced molecular and complete ionic equations for the reaction of nitric acid and aluminum hydroxide. (Hint: the net ionic reaction is H+(aq) + OH-(aq) 6 H2O (l) 80 Equations Worksheet - Alternate Second Page A. Necessary information The products of the reaction in problem 1 are solid silver iodide, and aqueous potassium nitrate. The products of the reaction in problem 2 are solid copper(II) hydroxide, and aqueous sodium chloride. 3A. If I start the reaction in problem 1 with 42.5 g of silver nitrate and 39.8 g of potassium iodide, which compound is my limiting reactant? 3B. If the reaction in 3A gives me 55.0 g of silver iodide, what is the % yield for the reaction? 4A. If I start the reaction in problem 2 with 16.0g of copper(II) chloride and 6.00g of sodium hydroxide, which compound is my limiting reactant? 4B. If the reaction in 4A gives me 9.75g of copper(II) hydroxide product, what is the % yield for the reaction? 81 Experiment 11. Redox Titration Purpose In this experiment you will use redox titrations to determine the mass percentage composition of the oxalate ion in the salt cobalt (II) oxalate dihydrate. Background In this experiment you will determine the percentage of oxalate ion in the cobalt (II) oxalate dihydrate you prepared two weeks ago. The analysis will be done by means of a titration, using a redox reaction. Read pages l61-164 of your text (Zumdahl) to learn about titrations, standardization, primary and secondary standards, burets, equivalence and end points and titration calculations. Note that you will be doing an oxidationreduction titration rather than an acid base titration. You will use sodium oxalate (Na2C2O4) as a primary standard to determine the concentration of a solution of KMnO4. The latter will then serve as a secondary standard to determine the percentage oxalate ion in the cobalt (II) oxalate dihydrate by titration. In these titrations KMnO4 acts as an oxidizing agent, while the oxalate ion acts as a reducing agent. Potassium permanganate is particularly useful in these titrations because the strongly colored MnO4- (aq) species yields a colorless product, Mn2+ (aq), so when a slight excess of the titrant is added, the reaction mixture becomes pink. Thus the appearance of a permanent pink color signifies the end of the reaction. Potassium permanganate, then, serves as its own indicator for the end-point of the titration. The following reactions describe the chemistry involved in this experiment. Potassium permanganate, sodium oxalate, and cobalt (II) oxalate are all strong electrolytes, and completely dissociate into their constituent ions in solution: KMnO4 + H2O Y K+ (aq) + MnO4- (aq) Na2C2O4 + H2O Y 2 Na+ (aq) + C2O42- (aq) CoC2O4 + H2O Y Co2+ (aq) + C2O42- (aq) 82 When sulfuric acid is added to solutions of oxalate ions, the hydrogen ions in the sulfuric acid solution convert the oxalate ion to oxalic acid: C2O42- (aq) + 2 H+ Y H2C2O4 (aq) The species involved in the redox reactions undergo the following changes: MnO4- (aq) + 8 H+ (aq) + 5 e- Y Mn2+ (aq) + 4 H2O (l) H2C2O4 (aq) Y 2 CO2 (g) + 2 H+ + 2 eThe overall net ionic equation of the titrations, then, is 2 MnO4- (aq) + 5 H2C2O4 (aq) + 6 H+ (aq) Y 2 Mn2+ (aq) + 10 CO2 (g) + 8 H2O (l) Theoretically, this reaction is too slow to provide a good titrimetric method, but its speed can be increased by heating the sample to about 600C. Also, addition of a catalyst can speed up the reaction, and, in this case, one of the products (Mn2+) acts in this capacity. It is for this latter reason that the first addition of the permanganate ion titrant will require several seconds to react, but subsequent additions will react quite quickly. Procedure Clean and rinse the flask on your desk. Fill it with about 500 mL of distilled water and add 50 mL of 0.20 M KMnO4 (aq). Put a piece of parafilm over the top and swirl the flask to completely mix the permanganate reagent. This is your permanganate solution which will be standardized and then used in the determination of the oxalate ion in the synthesized cobalt salt. You will have serious errors in your determination if your permanganate solution is not homogeneous. (i.e. Not completely mixed.) Put a 250 ml beaker filled with distilled water on your hotplate and heat it until it is almost too hot to touch. Next, directly weigh on weighing paper, four samples of 0.200 g to 0.250 g each of Na2C2O4. Record these weights in your notebook, and transfer the material to clearly labeled Erlenmeyer flasks that have been cleaned and rinsed with distilled water. 83 Obtain a buret. empty it, rinse it with two small (5 - 10 mL) portions of your diluted permanganate solution and then fill it. Check for and remove any air bubbles in the tip of the buret. Record the initial buret reading. When you are ready to do your first titration pour about 50 mls of hot distilled water into one of your flasks containing a Na2C2O4 sample. Next add 10 mL of 6 M H2SO4(aq) to the flask and begin the titration by adding a few drops of the permanganate solution while swirling the solution in the flask. Wait for the solution to clear before you add any more permanganate. If necessary, put the flask on the hot plate to warm as you wait for it to clear. Once it is clear you can continue the titration by slowly adding titrant and swirling the flask. Continue to add the titrant until the end-point is reached as indicated by the appearance of a very faint pink color that persists at least 30 seconds. The temperature of the solution should not drop below 60oC during the titration. Record the final buret reading and calculate the concentration of the permanganate solution. Check with your instructor to make sure that the concentration is in the proper range before proceeding. Titrate the remaining sodium oxalate samples in the same fashion and calculate the average concentration of your titrant. Empty the Erlenmeyer flasks and rinse each well with distilled water. From the vial containing cobalt (II) oxalate dihydrate, weigh out, on the analytical balance four samples of 0.200 g to 0.250 g each into the Erlenmeyer flasks. When you are ready to titrate the material in a given flask, add 50 mL of hot distilled water and 10 mL of 6 M H2SO4(aq). As before start the titration with a few drops of titrant, and wait for the solution to turn clear (but pink) before titrating to the endpoint. Although the end-point will not be as distinct as with the sodium oxalate solutions since the cobalt ion will contribute to the color of the solution an apparent color transition marking the end-point will occur. Calculate the percentage oxalate ion in each of the titrated samples. Fill in the report sheet, and give it to the instructor. 84 Name:_________________ Report Sheet Redox Titration I. Standardization of Potassium Permanganate Solution A. Trial I 1. Mass of Na2C2O4 (s) __________________g 2. Moles of Na2C2O4 (s) ___________________ mol 3. Calculation of moles (show set-up): 4. Equivalent moles of KMnO4 ________________ mol 5. Calculation of equivalent moles (show set-up): 6. Volume of KMnO4(aq) ________________mL 7. Molarity of KMnO4(aq)_______________ M 8. Calculation of molarity (Show set-up): 85 B. Other trials Mass of Na2C2O4 Trial 2 Trial 3 _____________ ____________ Moles of Na2C2O4 Volume of KMnO4(aq) Molarity of KMnO4(aq) C. Final Result: Molarity of KMnO4(aq) ± (Average) mol/L (Standard deviation) 1. Calculation of average (show set-up): 2. Calculation of Standard Deviation (show set-up, see Appendix 1.): II. Determination of Percentage Oxalate in your Salt A. Trial I 1.Mass of CoC2O4@2H2O (s) ______________g 2. Volume of KMnO4 mL 3.Mass of C2O42- in salt ___________________g 4.Calculation of mass (show set-up): 86 5.Percent C2O42- in salt ______________________ 6.Calculation of Percentage (show set-up): B. Other Trials Trial 2 Trial 3 1.Mass of CoC2O4 . 2H2O (s) _____________ 2. Volume of KMnO4 ___________ 3. Mass of C2O42- in salt _____________ 4.Percent C2O42- in salt ______________ C. Final Results 1.Percent C2O42- in salt _________________% (Avg.) ± (Std. Dev.) 2.Calculation of average (show set-up): 3.Calculation of Standard Deviation (Show set-up): 4. Theoretical % of C2O42- in salt based on molecular mass_____________ 87 5. Calculation of Theoretical % C2O42- in salt based on molecular mass: 88 III Summary of Cobalt Synthesis results 1. % yield of CoC2O4@2H2O _____________________(If synthesized) 2. Actual % of Co in Salt _____________________ 3. Theoretical % of Co in Salt _____________________ 4. Actual % oxalate in Salt _____________________ 5. Theoretical % Oxalate in Salt_____________________ 6. Based on the above data, evaluate your synthesis: 89 Experiment 12. The Ideal Gas Law Purpose In this experiment you will discover how P, V, T, and n are related to each other for an ideal gas. Background Boyle first discovered the relationship between gas pressure and volume in the late 1600's. Charles then described the relationship between a gas’s volume and temperature around 1800. Finally in 1811 Avogadro described the relationship between a gas’s volume and the number of particles in the gas. In today’s three hour experiment you will use modern technology to discover for yourself these basic principals that took about 200 years to uncover! Experiment I. The relationship between P and V Turn on your lab Quest or computer interface and plug in the pressure sensor. Go to the sensors tab and then find the change units pull down. Set the units of the sensor to atm (atmosphere). Now find the 20 mL syringe. Pull the plunger on the syringe so it reads 5.0 mL. Now use the luer lock fitting to attach the syringe to the pressure sensor. Record the pressure and volume. Now, by moving the plunger in and out, record at least four other pairs of pressure and volume. Experiment II. The relationship between n and P Find your 125 mL Erlenmeyer flask. While it says 125 mLs, it actually holds a bit more. You need to determine the actual total volume of the flask. Fill the flask with water. Now pour that water into a graduated cylinder so you can measure the total volume of the flask. Record this volume. The volume of the tubing and fittings is about 4 mL. So what is the total volume of your flask and the tubing? Dry your flask when you have finished, because it has to be dry for the remaining experiments. While you might think you need to know ‘n’, the number of moles of air to do this experiment you really don’t. All you need is a number that is proportional to n. The number we will use is a zorkblat. We will assume that a 10 ml unit of air in this room contains 1 zorkblat of molecules. Calculate the of zorkblats of air contained in your flask and tubing combined. Find the white stopper with the luer-lock fitting, and press it tightly into a dry 125 mL Erlenmeyer Flask. Attach one end of the luer-lock tubing to your pressure sensor and the other end to the luer lock fittings on the flask that does not have a valve on it. Record the initial pressure. Now fill the syringe with 10 mL of air (1 zorkblat of molecules). Place the syringe on the luer-lock fitting that has the valve on it. Deliver 1 zorkblat of molecules into the flask, close the valve and record the pressure. Remove the syringe, fill it with another zorkblat of molecules, Attach the syringe to the apparatus, open the valve, deliver the molecules to the flask, close the 90 valve and record the pressure. Continue this procedure until you blow out your stopper. (When I tested this, I blew out the stopper when I put the fifth zorkblat into the flask). For each addition of air calculate the number of zorkblats using the equation: Experiment III. The relationship between V and T Initial set up and first point Find the white stopper with the luer-lock fitting, and press it tightly into a dry 125 mL Erlenmeyer Flask. Attach one end of the luer-lock tubing you your pressure sensor and the other end to one of the luer-lock fittings on the flask. Set the plunger on the syringe to 10 mL and then attach the syringe to the other luer-lock fitting on the flask. Record the temperature (in Kelvin), pressure and volume on the syringe. Low temperature point Now take the assembly back to the sink that has the large ice bath. Submerge the temperature sensor, flask, syringe, and most of the tubing in the ice bath, but be careful to keep the pressure sensor out of the water. After the system has equilibrated for 3-5 minutes, move the plunger on the syringe up and down until the pressure reads the same as the pressure in the room. Record the volume of the system (syringe, tubing and flask) and the temperature in the bath. High temperature point Now take the assembly back to the sink that has the large warm water bath. Submerge the temperature sensor, flask, syringe, and most of the tubing in the warm water bath, but be careful to keep the pressure sensor out of the water. After the system has equilibrated for 3-5 minutes, move the plunger on the syringe up and down until the pressure reads the same as the pressure in the room. Record the volume of the system (syringe, tubing and flask) and the temperature in the bath. Experiment IV. The relationship between P and T You will not use the syringe for this experiment, so simply close the valve on the syringe filling and remove the syringe. Now clamp this into a ring-stand set up. Get a 600 mL beaker and fill it ½ full with ice, then add water until it is about 3/4 filled, and place it on a hot plate (do not turn it on yet!) Use the ringstand to submerge the flask as much as possible in your water bath and put the temperature sensor in the water bath as well. Make sure the tubing and all electrical wires do NOT touch the hotplate. Record the initial pressure and temperature. Double check that no wires are touching the hotplate, and turn it on high. You can use the temperature sensor to stir the water in the bath (Watch our for the wire!). Record the pressure and the temperature about every 5o. Make sure you record your temperature in K! Turn off the heat, remove the apparatus from the water bath and end your experiment after you have recorded 8-10 pairs of temperature and pressure. Make sure you make a diagram of each of the different experimental set-ups in your lab notebook. Name:_____________________ 91 _____________________ Report Sheet The Ideal Gas Law Experiment I. Raw Data Volume (L) Relationship between V and P Pressure (atm) Plot the above data on a piece of Graph paper and attach it to this report sheet What does the graph tell you about the relationship between V and P? _____________________ Write the above relationship in an equation. ___________________________ If the above equation has a constant, determine the value of the constant for your data. KI =________________ (Don’t forget units!) Experiment II. The relationship between n and P Raw Data Volume of flask and tubing______ Zorkblats of air in flask and tubing ___________ Zorkblats Pressure (atm) Plot the above data on a piece of Graph paper and attach it to this report sheet 92 What does the graph tell you about the relationship between n and P? _____________________ Write the above relationship in an equation. ___________________________ If the above equation has a constant, determine the value of the constant for your data. KII =________________ (Don’t forget units!) Experiment III. The relationship between T and V Raw Data Volume of flask_____________ Pressure in system _____________ Temperature (K) Volume (L) Plot the above data on a piece of Graph paper and attach it to this report sheet What does the graph tell you about the relationship between T and V? _____________________ Write the above relationship in an equation. ___________________________ If the above equation has a constant, determine the value of the constant for your data. KIII =________________ (Don’t forget units!) 93 Experiment IV. The relationship between T and P Raw Data Temperature (K) Pressure (atm) Plot the above data on a piece of Graph paper and attach it to this report sheet What does the graph tell you about the relationship between T and P? _____________________ Write the above relationship in an equation. ___________________________ If the above equation has a constant, determine the value of the constant for your data. KIV =________________ (Don’t forget units!) Now, put all this together into one equation P=............... If the above equation has a constant, determine the value of the constant from your data. Kcomplete =________________ Express K in units of atm, K, L and Zorkblats Show how you calculated K: Don’t forget to attach all your graphs! 94 95 Experiment 13. Molar Mass of a Vapor Purpose: In this experiment, you will: • measure the mass, temperature, pressure, and volume of an unknown vapor • use the ideal gas law to calculate the molar mass and • predict the identity of your sample Background The molar mass of a compound is one of its most fundamental properties. When a new compound is synthesized or identified, its molar mass is usually one of the first properties to be determined. A number of different methods can be used to determine molar mass, depending on the properties of the compound. For volatile liquids, molecular substances having relatively low boiling points, the molar mass can be determined by measuring the mass of the vapor in a fixed-volume container at a known temperature and pressure. As shown in equation 5.1 from your text, page 204, the molar mass of a compound is directly related to its density. (1) Where d is the density of the gas in g/l, R is the gas constant (0.082059 L@atm/K@mol), T is the absolute temperature and P is the pressure in atm. In this experiment you will measure the volume of a container and the mass of a gas in the container, so the above density term can be replaced with: (2) Where m is the mass of the gas measured in grams and V is the volume of the container measured in liters. 96 Procedure Before coming to lab, determine the molar masses of methanol (CH3OH), acetone (CH3COCH3), and hexane (C6H14) and list them in your notebook. At the start of lab period, record the current barometric pressure reading provided by your instructor. Label a clean 50 mL beaker with your initials. Give it to your instructor to get an unknown sample of one of the three volatile liquids listed above. When not transferring the sample, cover the beaker with a watch glass. Your instructor will also loan you two clean 125 mL Erlenmeyer flasks for this experiment -please return these to your instructor when you have finished. Determine the volume of each flask by filling to the top with water and measuring the volume of the water with a graduated cylinder. Note the volume of each flask will be slightly different, and will NOT be equal to the nominal volume of 125 ml. After you have determined the volume of the flasks, dry them carefully with a paper towel then dry them completely on your hotplate. If any water remains in your flasks the last part of the experiment will not work properly. Put approximately 400 mL of distilled water into each of two 600 mL beakers and place these on a hotplate to boil (setting~5). Add about 2 mL of 1 M HCl (aq) into each beaker to prevent scale formation. While the water is heating, obtain four 3 x 3 inch squares of aluminum foil and four 6inch pieces of copper wire. Place one square over the mouth of each flask and loosely fold the edges around the rim. Use a pin to prick as small as possible a hole in the center of the foil. Label the flasks for identification. Record to within 0.001 g the mass of each flask together with its foil and a piece of wire. Put 5 mL of your unknown into each flask. Cap each flask carefully with the foil; crimp the foil around the rim of the flask and secure with the wire by wrapping the wire snugly around the neck of the flask just under the rim. Twist the ends of the wire together while being careful not to tear the foil. Before the water is boiling, slowly lower each flask into a beaker until it is submerged up to the neck and secure it there using a clamp. When the water reaches its boiling point, reduce the hotplate setting to maintain a slow boil until no more of your unknown is visible in the flasks. Then boil five more minutes. If the water level drops during this time, add more to maintain the level near the top of the flasks. Remove the flasks from their water baths, wipe them dry, and allow them to cool to room temperature. Gently wipe off any water that remains on the foil. Weigh the flasks and their contents to within 0.001 g. 97 Repeat the experiment, again using both flasks, so that you have a total of four trials. Calculations and Report In the table below, look up the boiling point temperature of water at the current barometric pressure. The initial mass of each flask assembly includes the mass of the air inside the flask. The mass of this air cannot be ignored in comparison to the mass being determined for the unknown vapor. Air is comprised of 78% N2, 21% 02, and 1 % Ar. As a result, air has an average molar mass of M = 29.0 g/mol. By rearranging equation (2), we may calculate the mass, m, of air in a known volume: (6) Given the volume of your flasks, calculate the mass of air present in each initial weighing, and subtract this to determine the empty (no air) mass of the flask assembly for each trial. For each trial, subtract the mass of the empty flask from the final mass of the flask with the unknown vapor. Use equation (2) to calculate the molar mass of the unknown for each of your trials and average the results. Compute the standard deviation of your data set this is a measure of the uncertainty in your result. Complete the report sheet. In view of your calculated molar mass and its uncertainty, predict the identity of your sample. Is the standard deviation of your trials larger than the difference between your measured molar mass and the actual molar mass of the compound you predict? If so, how certain are your results? 98 THE VAPOR PRESSURE OF WATER NEAR IT’S BOILING POINT p(atm) T(Co) p(atm) T(Co) p(atm) T(Co) 0.692 0.6946 0.6973 0.6999 0.7026 0.7052 0.7079 0.7106 0.7133 0.716 0.7187 0.7214 0.7241 0.7269 0.7296 0.7324 0.7351 0.7379 0.7407 0.7435 0.7463 0.7491 0.7519 0.7547 0.7575 0.7604 0.7632 0.7661 0.7689 0.7718 0.7747 0.7776 0.7805 0.7834 0.7863 0.7892 0.7922 0.7951 0.7981 0.801 0.804 0.807 0.81 0.813 90.0 90.1 90.2 90.3 90.4 90.5 90.6 90.7 90.8 90.9 91.0 91.1 91.2 91.3 91.4 91.5 91.6 91.7 91.8 91.9 92.0 92.1 92.2 92.3 92.4 92.5 92.6 92.7 92.8 92.9 93.0 93.1 93.2 93.3 93.4 93.5 93.6 93.7 93.8 93.9 94.0 94.1 94.2 94.3 0.816 0.819 0.822 0.8251 0.8281 0.8312 0.8342 0.8373 0.8404 0.8435 0.8466 0.8497 0.8528 0.856 0.8591 0.8623 0.8654 0.8686 0.8718 0.875 0.8781 0.8814 0.8846 0.8878 0.891 0.8943 0.8976 0.9008 0.9041 0.9074 0.9107 0.914 0.9173 0.9206 0.924 0.9273 0.9307 0.934 0.9374 0.9408 0.9442 0.9476 0.951 0.9545 94.4 94.5 94.6 94.7 94.8 94.9 95.0 95.1 95.2 95.3 95.4 95.5 95.6 95.7 95.8 95.9 96.0 96.1 96.2 96.3 96.4 96.5 96.6 96.7 96.8 96.9 97.0 97.1 97.2 97.3 97.4 97.5 97.6 97.7 97.8 97.9 98.0 98.1 98.2 98.3 98.4 98.5 98.6 98.7 0.9579 0.9613 0.9648 0.9683 0.9718 0.9753 0.9788 0.9823 0.9858 0.9893 0.9929 0.9964 1 1.0036 1.0071 1.0107 1.0143 1.0179 1.0216 1.0252 1.0288 1.0325 1.0362 98.8 98.9 99.0 99.1 99.2 99.3 99.4 99.5 99.6 99.7 99.8 99.9 100.0 100.1 100.2 100.3 100.4 100.5 100.6 100.7 100.8 100.9 101.0 99 Name: Report Sheet Molar Mass of a Vapor gas constant, R (include units) barometric pressure, P (from instructor) boiling temperature, T (from table) Unknown (A, B or C) _______________________ DATA (Sample data) trial 1 trial 2 flask volume (mL) mass of dry flask (including air) (g) mass of air in flask (g) mass of dry flask (no air) (g) mass of flask + vapor (g) mass of vapor (g) molar mass of vapor (g/mol) Show how you calculated: The mass of air for trial 1 The molar mass of the unknown vapor for trial 1 100 trial 3 trial 4 Average molar mass = Standard deviation = Identity of unknown sample: 101 Experiment 14. Thermochemistry Purpose i i i In this experiment, you will: use a calorimeter to measure the temperature change which occurs during a chemical reaction calculate the heat energy evolved by the reaction compare reaction enthalpies for four acid-base reactions use experimental results to calculate the formation enthalpy of the acetate ion Background When a chemical reaction occurs in a system at constant pressure under conditions such that no energy is lost to or gained from the surroundings, it is generally found that the temperature of the system either increases or decreases. When the system is in thermal contact with the surroundings, energy will be lost as heat if the temperature rises due to reaction and the reaction is said to be exothermic. If there is a decrease in temperature of the system due to reaction, energy will be gained from the surroundings as heat and the reaction is said to be endothermic. Heat changes that take place in a system at constant pressure are related to a property of the system called enthalpy, denoted by the symbol H. The SI unit of enthalpy is the same as that of energy, joule (J) Enthalpy is a state function, and can be related to heat changes at constant pressure by: heat absorbed = increase in enthalpy = ÄH = Hfinal - Hinitial (1) When a system is configured such that no heat is gained or lost, the system is said to be under adiabatic conditions. Thus for adiabatic processes at constant pressure, the change in the enthalpy of the system equals the heat absorbed by the system, which is zero. Since enthalpy can be changed by a change in temperature of the water (ÄT H2O) or by a chemical reaction or by both, a chemical reaction carried out under adiabatic conditions would result in the following relationships: ÄH system = ÄH ÄT H2O + ÄH due to reaction = 0 (2) ÄH due to reaction = - ÄHÄT H2O (3) 102 The change in enthalpy due to temperature changes can be calculated by: ÄH ÄT H2O = specific heat capacity × mass × ÄT (4) where ÄT = Tf - Ti and can be positive (for exothermic reactions), or negative (for endothermic reactions). If the change in temperature is measured for a chemical reaction carried out under adiabatic conditions, the enthalpy change due to the reaction can be determined from the enthalpy change causing the temperature change. Enthalpy is also an extensive property, thus depending on the amount of reaction that occurs. To obtain an intensive property for comparing reactions, we normally relate the enthalpy change to the amount of one of the reactants or products (e.g., species A). Thus a reaction enthalpy is given as: (5) The SI unit of ÄH rxn is J mol-1 , although reaction enthalpies are typically reported in kJ mol-1 . Since we need the amount of A reacted, it is useful to select the limiting reagent as species A. We have seen in lecture that reaction enthalpies can be calculated from tabularized values of standard molar enthalpies of formation, from tabularized combustion enthalpies, and from experimental calorimetry data. It is this last method which will be used in this experiment using the principles derived above. The Calorimeter A calorimeter is a device with which we can measure the enthalpy change in a system during a reaction by monitoring the temperature increase (for an exothermic reaction) or decrease (for an endothermic reaction). Several types of calorimeters have been demonstrated in the text and in lecture. In this experiment, the calorimeter used is a Styrofoam capped cup. The foam between the liquid and surroundings acts as a thermal barrier to prevent heat loss from the reaction to the surroundings. The reactions will be carried out in aqueous solution in the cup, and the temperature will be monitored with a standard laboratory thermometer. We will make two major assumptions about the calorimeter and system. First, the device will be considered an ideal calorimeter, operating adiabatically at constant pressure; i.e., all of the heat evolved by the reaction goes to raising the temperature of the reaction solution, and none is lost to the beaker and air space. Second, we assume that the final solution is sufficiently dilute so that its density and specific heat capacity will be those of pure water (1.00 g mL-1 and 4.184 J g–1 C-1, respectively). Both of these assumptions will introduce some error, and one report 103 question will require the calculation of this error. The enthalpy change associated with the temperature change is calculated from equation (4) above. From this result, the enthalpy change due to the reaction can be obtained from equation (3). This result can be converted to kJ and then, after the amount of limiting reagent is determined, the AHrxn can be determined from equation (5). Chemistry of the Reactions The reaction enthalpy for four acid-base reactions will be determined: I. II. III. IV. HCl (aq) + NaOH (aq) 6 NaCl (aq) + H2O (1) HCl (aq) + NH3 (aq) 6 NH4Cl (aq) HC2H3O2 (aq) + NaOH (aq) 6 NaC2H3O2 (aq) + H2O (l) HC2H3O2 (aq) + NH3 (aq) 6NH4C2H3O2 (aq) HCl and NaOH are strong (acid and base, respectively), while HC2H3O2 and NH3 are weak. In aqueous solution, the weak systems do not to ionize significantly, so the net ionic equations for the above reactions reduce to: I. II. III. IV. H3O+ (aq) + OH- (aq) 6 2H2O (1) H3O+ (aq) + NH3 (aq) 6 NH4+(aq) + H2O(l) HC2H3O2 (aq) + OH- (aq) 6 H2O (1) + C2H3O2- (aq) HC2H3O2 (aq) + NH3 (aq) 6NH4+ (aq) + C2H3O2- (aq) As Bronsted-Lowry acid-base reactions, all involve a proton transfer from the add to the base. More stable bonds are formed in these reactions, so the reactions are, therefore, exothermic. 104 Procedure Arrange your styrofoam cups, thermometer and cap as shown by the instructor. Clean, dry, and label two 50 mL and two 100 mL graduated cylinders (one from each partner) for the four reactant solutions to be used in this experiment (this will prevent crossmixing of solutions). Use the following procedure to measure ÄT: 1. Obtain 45.0 mL each of the acid and base needed for the run in the designated graduated cylinders. 2. Add the acid to the styrofoam cup calorimeter, and then measure and record the initial temperature (Tinitial ). 3. Rapidly pour the base into the cup, replace the cover, and stir the reaction solution with calorimeter stirrer. 4. Observe the temperature of the reaction mixture while continuously stirring, and record the highest reading as the final temperature (Tfinal ). 5. When finished with a measurement, pour out the solution, rinse and dry the cup, stirrer, and thermometer, and perform the next run. Experiment I [Run three times] 45.0 mL 2.00 M HCl (aq) + 45.0 mL 2.00 M NaOH (aq) Experiment II [Run three times] 45.0 mL 2.00 M HCl (aq) + 45.0 mL 2.00 M NH3 (aq) Experiment III [Run three times] 45.0 mL 2.00 M HC2H3O2 (aq) + 45.0 mL 2.00 M NaOH (aq) Experiment IV [Run three times] 45.0 mL 2.00 M HC2H3O2 (aq) + 45.0 mL 2.00 M NH3 (aq) 105 Calculations and Report In the following calculations, assume that the specific heat capacity for the reaction mixture is 4.1841 J g-1 C-1 and its density is 1.00 g mL-1. For each run, calculate ÄT, change in enthalpy due to the reaction (in kJ), amount of limiting reagent, and the reaction enthalpy (in kJ/mol limiting reagent). Show the calculation setup for run 1 of Experiment I as indicated on the report sheet. Calculate the average reaction enthalpy for each of the four experiments and then answer the questions. Questions for your Notebook 1. How many grams of HCl are in 45 mLs of 2M HCl? 2. How many grams of NaOH are in 45 mLs of 2M NaOH? 3. Why can you assume that your solution contains 90 mLs of water with a heat capacity of 4.184 J g-1 C-1 and ignore the other ions in the solution? 4. Also make a diagram of a typical experimental set up. 106 Name: _________________ _________________ Report Sheet Thermochemistry Experiment I (HCl/NaOH) Run 1 Run 2 Run 3 Initial Temperature, Ti(oC) _______ ______ _______ Final Temperature, Tf(oC) _______ _______ _______ _______ _______ _______ ÄHH2O (kJ) _______ _______ _______ ÄH due to rxn (kJ) _______ _______ _______ _______ _______ _______ _______ _______ _______ ÄT(oC) Amount limiting reagent (mol) ÄHrxn (kJ/mol) Average ÄHrxn __________________kJ/mol In the space below show the sequence of calculations for run 1: 107 Run 1 Run 2 Run 3 Initial Temperature, Ti(oC) _______ _______ _______ Final Temperature, Tf(oC) _______ _______ _______ ÄT(oC) _______ _______ _______ ÄHH2O (kJ) _______ _______ _______ ÄH due to rxn (kJ) _______ _______ _______ _______ _______ _______ _______ _______ _______ Experiment II (HCl/NH3 ) Amount limiting reagent (mol) ÄHrxn (kJ/mol) Average ÄHrxn __________________kJ/mol Run 1 Run 2 Run 3 Initial Temperature, Ti(oC) _______ _______ _______ Final Temperature, Tf(oC) _______ _______ _______ ÄT(oC) _______ _______ _______ ÄHH2O (kJ) _______ _______ _______ ÄH dur to rxn (kJ) _______ _______ _______ _______ _______ _______ _______ _______ _______ Experiment III (HC2H3O2 /NaOH) Amount limiting reagent (mol) ÄHrxn (kJ/mol) Average ÄHrxn __________________kJ/mol 108 Run 1 Run 2 Run 3 Initial Temperature, Ti(oC) _______ _______ _______ Final Temperature, Tf(oC) _______ _______ _______ ÄT(oC) _______ _______ _______ ÄHH2O (kJ) _______ _______ _______ ÄH due to rxn (kJ) _______ _______ _______ _______ _______ _______ _______ _______ _______ Experiment IV (HC2H3O2 /NH3 ) Amount limiting reagent (mol) ÄHrxn (kJ/mol) Average ÄHrxn __________________kJ/mol Answer the following questions 1. Would I get a different ÄHrxn in experiment I if I used 45.0 mL of 2.00 M HNO3 instead of HCl? Explain why or why not. 109 2. Given the following data, calculate the theoretical values for ÄHrxn for experiments I and II. Compare these values with your experimental results for ÄHrxn by calculating the percentage error for each experiment (See Appendix 1.) species ÄHf(kJ/mol) H3O+(aq) -285.83 H2O(l) -285.83 OH-(aq) -229.99 NH3(aq) -80.29 NH4+(aq) -132.51 HC2H3O2 -485.76 3. Using your average result for experiment III, calculate ÄHfo for the acetate ion. Show your setup. 110 Experiment 15. Determination of Glucose using a Spectrophotometer Purpose: In this experiment you will: i Oxidize glucose to gluconic acid, while reducing Fe(CN)63- to Fe(CN)64-. i Prepare a standard curve showing how the absorbance of Fe(CN)63decreases with increase glucose concentration. i Determine the concentration of an unknown glucose sample using this standard curve. Background Glucose, also known as Dextrose, is a simple sugar with the empirical formula C6H12O6. It forms important biopolymers such as starch, cellulose, and glycogen. Carbohydrates are absorbed in the blood stream as glucose and the sugar is oxidized by the body to produce energy. The body has a hormonal system that tries to regulate the level of glucose in the blood. Normal levels of blood glucose are between 50 and 140 mg/dl (2.7 - 8 mM). If your blood sugar drops much below this, you can go into hypoglycemic shock, which, in turn, can lead to death. On the other hand, if your blood sugar is consistently above the 140 mg/dl level, you may have diabetes, and there are a host of problems associated with this state as well. Pharmacies sell over-the-counter kits designed to help diabetics monitor their blood sugar level. These are simple colorimetric assays in which you put a drop of blood on a specially treated plastic strip and watch a color change occur due to different chemical reaction that occur on the test strip. These test strips are somewhat expensive and not terribly accurate. In a clinical setting, like a hospital, glucose testing is done routinely and more accurately using a variety of different chemical reactions. The lab we do this week modeled after one of these reactions. The method used here is based on the oxidation of glucose by ferricyanide ion, Fe(CN)6-3. The net reaction is: H2O + C6H12O6 + 2 Fe(CN)6-3 Glucose Ferricyanide Yellow 6 C6H12O7 + 2 H+ + 2 Fe(CN)6-4 Gluconic Acid Ferrocyanide Colorless 111 Ferricyanide ion has an absorbance maximum at 420 nm and so will have a maximum absorbance at that wavelength. However, if a sample contains both ferricyanide and glucose, the above chemical reaction will occur, and the amount of ferricyanide in the solution will be reduced, so the absorbance of the solution will go down. In this experiment a series of solutions are made that contain a constant amount of ferricyanide, but increasing, known, amounts of glucose. The linear relationship between absorption at 420 and glucose concentration can be used to make a Standard Curve that correlates the absorbance of the solution to with the amount of glucose in the solution. An unknown solution of glucose will then be analyzed using the same concentration of ferricyanide and the same chemical reaction. The absorbance of this solution can be plotted on the standard curve, and the original concentration of glucose in the unknown determined from the standard curve. Procedure You will find the following reagents and materials in the lab: (A) 0.015 M Fe(CN)6-3, 0.5M Na2CO3 (SOLUTION A) (B) 5.000 mg/100ml Glucose standard (SOLUTION B) (C) 50 mL or 100 mL volumetric flasks (D) unknowns Preparation of standard curve (1 curve per group) Introduce 4.00 mLs of solution A into each of four clean 100 mL volumetric flasks. Mark the flasks 1, 2, 3, and 4. Now pipet 10.00 mL of solution B into flask 2, 20.00 mL of solution B into flask 3, and 30.00 mL of solution B into flask 4. Half fill each of the flasks with water. Place in a boiling water bath for 15 minutes. Make sure they are unstoppered. (also make sure the flasks don't tip). Cool the flasks to room temp and fill to the mark with distilled H2O. Cap and thoroughly mix the contents of the flasks. Using distilled water as the reference, measure the absorbance of each of the standard solutions and the unknown at 420 nm. For the set of standards, plot the absorbance vs. the glucose concentration. 112 Preparation of the unknown (1 unknown for each person) Introduce 2.00 mL of solution A into a 50 mL volumetric flask. Pipet 20.00 mL of your unknown into the flask. Half fill the flask with water. Place in a boiling water bath for 15 minutes. Make sure it is unstoppered. (Also make sure the flask doesn't tip). Cool the flask to room temp and fill to the mark with distilled H2O. Cap and thoroughly mix the contents of the flasks. Determine the absorbance of the flask at 420 nm, determine the concentration of the original Glucose unknown using your standard curve. 113 Name: Report Sheet Determination of a Glucose Unknown I. The standard curve A. Concentration of glucose in Solution B ___________(mg/100mL) B. Concentration of glucose in Flask 1___________(mg/100ml) Flask 2___________(mg/100mL) Flask 3___________(mg/100mL) Flask 4___________(mg/100mL) C. Calculation used to determine glucose concentration in flask 3 D. At 420 nm Flask 1 Transmittance __________ Absorbance __________ Flask 2 __________ __________ Flask 3 __________ __________ Flask 4 __________ __________ 114 E. Standard Curve II. Determination of Unknown A. Name of student Unknown Number Absorbance of Unknown Concentration of Unknown (mg/100mL) Dilute solution Original Solution ________ ______ _________ ____________ ______________ ________ ______ _________ ____________ ______________ ________ ______ _________ ____________ ______________ ________ ______ _________ ____________ ______________ B. Sample calculation for converting from concentration of unknown in dilute solution to concentration of unknown in original concentrated solution. 115 Experiment 16. Physical Properties of Chemicals - Melting Points, Boiling Points and Sublimation Purpose: In this experiment you will: i Determine the melting point of chemicals i Determine the boiling point of chemicals i Demonstrate the sublimation of a solid Background Just as every object in a room can be described in terms of its physical properties, every chemical has can be characterized by a number of different physical properties. While a given physical property may not uniquely identify a chemical, a complete set of physical properties can often be used to identify a compound unambiguously. Many different handbooks are available to chemists that catalog the known physical properties of chemicals. These handbooks not only help a chemist know what will happen to a given chemical as he manipulates it, but also lets the chemist identify unknown compounds. Some of the most common physical properties used to characterize chemicals include physical form (solid-liquid-gas), color, smell, solid form (metal-crystal-amorphous), density, refractive index, melting point, boiling point, and solubility in various solvents. These properties not only help to identify a compound, but deviations from ideal values can be used to assess purity. Whenever a new chemical is isolated in the lab, a large amount of time is spent determining any or all of the above properties to help to characterize the new compound. A complete characterization of the compound is a required part of reporting this compound in the literature. One of the most common physical properties reported for a solid is its melting or freezing point. Our text refers to this as the normal melting point, or the temperature at which a solid and liquid state of a compound have the same vapor pressure under conditions where the total atmospheric pressure is 1 atm. While this definition sound pretty formidable, what it really means is the temperature at which the solid and liquid coexist (a slush forms) at normal atmospheric pressure. The melting points of solids depend on the nature of the solid. Ionic solids generally have melting points in the several 100's to 1000's oC, while organic compounds held together 116 with a mixture of London dispersion forces and dipole-dipole forces will melt somewhere near room temperature (±100o C). Finally small gases that are held together only by London dispersion forces have melting temperature in the -100o to -250o C range. A typical melting temperature for a pure compound has a very small range, it can be as little as 1/10 of a oC in range. In the general lab setting, a melting range of 1o C is typical and indicative of a relatively pure substance. Melting temperature ranges larger than this indicate that the substance is not pure. Similarly the normal boiling point, is often used to characterize liquids. The definition of the normal boiling point is the temperature at which a liquid has a vapor pressure of exactly 1 atm. Since a liquid boils when its vapor pressure equals the atmospheric pressure, this definition usually mean simply the temperature at which the liquid boils. Doing boiling point determinations in Spearfish presents one small problem. We are working at a high enough altitude that our air pressure is seldom 1 atm! Typically our air pressure is on the order of .9 atm, so water, which is supposed to boil at 100oC will boil here at 96oC. The bottom line here is not to be too surprised if all your boiling point determinations today turn out to be a bit low. Sublimation refers to the direct conversion of a solid to a gas, without going through in intermediate liquid state. It can also refer to the reverse process, a gas converting directly to a solid without going through the liquid state. Relatively few compounds can do this; familiar examples include naphthalene, caffeine, iodine, solid CO2, and water. Sublimation does not have as distinctly defined a temperature like the melting or boiling points, but it is still a useful physical property, both to identify a compound, and sometimes to purify it. Procedure Experiment 1 Determination of a melting point Obtain about 0.1 g of an unknown compound from the instructor. (Precise weight is not required, just eyeball an amount that looks about right) Also obtain a capillary tube. If it has not already been done, cut the capillary tube in half with a file. What you are trying to do is to get crystals of your unknown into the bottom closed end of the capillary tube to a depth of about 3 mm. If the crystals of your unknown are large you may need to obtain a mortar and pestle to grind the crystals down to a smaller size. Otherwise simply force some of the unknown into the open end of the tube by 117 gently pushing the tube straight up and down into the unknown, then turn the tube endfor-end and tap it on the table top to get the crystals to fall to the bottom of the tube. If you need it, you can also drop your capillary tube down a larger tube to pack the crystals into the bottom (See demonstration). Alternatively, if you are using the gray melting point apparatus with the thermometers that are mounted horizontally, all you need to do is to place a sample between two cover slips and place this ‘sandwich’ on the heating block of the machine. The basic experiment is simply to heat the tube and report the temperature at which the solid melts. This is usually reported as a range, with the lower temperature corresponding to the point where the crystals of the solid first start to melt and have a ‘slushy’ appearance, and the upper temperature corresponds to the temperature where the last of the solid completely disappears. As you might expect, you get a smaller range and sharper melting point if you heat the tube slowly. On the other hand you can spend all day waiting for things to happen if you don’t heat fast enough. You’ve got to find the happy medium rate of heating. Another way this can be done is to prepare two samples. Heat the first sample quickly to get the temperature of the bath in the right range, then cool the bath slightly, put your second sample in and heat the material slowly through its melting range. When finished the unused chemicals may be disposed of in the garbage cans, while the capillary tubes should be dropped in the broken glass can. 118 POSSIBLE UNKNOWNS and their melting points (oC) Acetamide Acetanilide Benzophenone Benzoic Acid Biphenyl Lauric Acid Naphthalene Stearic Acid 82 114 48 121 70 43 80 70 Experiment 2 Sublimation In the hood you will see a simple apparatus set up to demonstrate sublimation. It consists of solid naphthalene placed in the bottom of a 100 ml beaker, and then a second 50 ml beaker containing ice is carefully placed inside the larger beaker so the bottom of the icecold beaker is suspended just above the naphthalene. The beakers are then placed on a hot plate, and the plate is warmed just enough to encourage the naphthalene to go into the vapor phase, but not enough to actually melt the material. As the naphthalene vapors hit the bottom of the cold beaker they come out of the vapor phase and condense to form solid crystals, that are usually very large, flat, and beautiful. Let the apparatus cool, then remove the beaker as scrape some of the sublimed naphthalene off the beaker for closer examination. Obtain some of the crude and some of the sublimed naphthalene for melting point analysis. Was there any difference in the range of melting points for these two materials? Note: It is usually very difficult to get the sublimed crystals into a capillary tube, so it is best to test these crystals using the apparatus that squashes the crystals between cover slips. Make a diagram in you lab notebook of the apparatus used to perform sublimation. 119 Experiment 3 Determination of the boiling point of a liquid CAUTION ALL ORGANIC SOLVENTS USED IN THE LAB ARE FLAMMABLE. ALL BUNSEN BURNERS MUST BE EXTINGUISHED BEFORE BEGINNING THIS PORTION OF THE LAB. See instructor for alternate places for setting up this lab if you are ready early. -Obtain about 5 mLs of liquid unknown from the instructor. -Place this sample in a large test tube and place a boiling chip in the bottom of the test tube. -Place a 250 mL beaker full of water with a boiling chip or two on your hot plate. Set up an apparatus stand to hold your test tube of unknown upright in the beaker and hold your thermometer upright above the space above the liquid in your test tube. A rubber stopper with a split may also be used to hold the test tube above the liquid - Heat the water and observe the temperature in the air space above the liquid. The temperature should rise steadily, and then stabilize at the boiling temperature of your liquid. Record your boiling temperature and determine the identity of your unknown. - Make a diagram in your lab notebook of the boiling point apparatus. UNUSED UNKNOWNS SHOULD NOT BE POURED DOWN THE SINK. Instead deposit in ORGANIC WASTE VESSEL. 120 Possible Liquids unknowns and their Boiling points (oC at 1atm) Acetone (Propanone) 56 Cyclohexane 81 Ethyl Acetate 77 Hexane 69 Isopropyl alcohol (2-Propanol) 83 Methyl alcohol (Methanol) 65 1-Propanol 97 Experiment 4 Determination of Infrared (IR) and Nuclear Magnetic Resonance (NMR) absorption spectra While physical measurements like boiling points and melting points can be used to characterize a compound, they are not very good at identifying unknown materials. There are two separate problems. One is that may compounds have the same, or nearly the melting point or boiling point. The other is that even the modest altitude that we have in Spearfish is enough to through the boiling point off by a degree or two. Two other techniques that are used routinely by organic chemists to characterize and identify unknown materials are called Infrared (IR) and Nuclear Magnetic Resonance (NMR) spectroscopy. While the detailed explanations of how these techniques work is beyond the scope of this class, a brief introduction to both of these techniques is included as supplemental material and can be found in this lab manual immediately following the report sheet. Read both of these supplements. 121 Near the IR machine you will find bottles labeled A-G. Find the bottle that matches the unknown you used in the boiling point experiment. Have the instructor or TA who is working with the IR show you how to obtain an IR spectrum for your sample. Include a copy of this spectrum with your lab write-up and your lab noteboook. By matching this spectrum with the spectra found in the supplemental materials you should be able to identify your boiling point unknown. Near the NMR machine you will find 7 pre-made samples tubes with labels A-G. Find the tube that matches the unknown you used in the boiling point experiment. Have the instructor or TA who is working with the NMR show you how to obtain an NMR spectrum for your sample. Include a copy of this spectrum with your lab write-up and your lab notebook. By matching this spectrum with the spectra found in the supplemental materials you should be able to confirm the identity of your unknown. 122 Name: Report Sheet Physical Properties of Solids Experiment I 1. Solid Unknown number___________ Melting Begins Run I Run II o _________ C________oC Melting Ends _________oC________oC Melting Range _________oC________oC Identification of unknown _____________________ Experiment II _________________oC Melting range of crude naphthalene Melting range of sublimed naphthalene _________________oC Experiment III Liquid unknown number _______________________ Run I Observed Boiling point ___________oC Run II __________oC Identity of unknown: ______________________________ Structure of unknown: Experiment IV Attach labeled copies of all spectra obtained for your unknown. 123 Supplemental Material - Nuclear Magnetic Resonance (NMR) Nuclear Magnetic Resonance (NMR) is a way of characterizing an atom based on how its nucleus interacts in a magnetic field. It is used in organic chemistry to as a way to identify known organic chemicals and to determine the structure on novel compounds. It is used in medicine as the basic interaction that a magnetic resonance imaging (MRI) machine uses to obtain three dimensional images of soft tissue. Certain nuclei have the property that they interact with an external magnetic field as if the nuclei themselves are small magnets. Fortunately 1H (a proton) is one of those nuclei, and it is found in virtually every organic compound. When this nucleus acts like a magnet, it lines up with an external magnetic field just like any magnet would. The nucleus stays in alignment until it is hit with microwave radiation of a very specific frequency. When the nucleus sees microwave radiation with this specific frequency, the sample absorbs this radiation, and the energy that it absorbs is used to knock the nucleus out of alignment. With some clever design we can make an instrument that holds our sample in a magnetic field, irradiates the sample with microwave radiation, and measures what specific frequencies of the radiation are absorbed by the sample. All the NMR instrument is, is a very big magnet, some mechanisms to hang your sample tube right in the very strongest part of the magnet’s field, some electronics to tickle your sample with a touch of microwave radiation, and some additional electronics to see how much and what frequency of radiation the sample absorbs when this energy hits it. Like the other absorption techniques you have already seen, (Light and Infrared absorbance), NMR data is displayed as plot of absorbance in the Y-axis versus a measure of wavelength or frequency on the X-axis. Thus each peak in your spectrum represents a different frequency where your sample absorbs radiation. The magnet in our machine makes protons absorb radiation with a frequency of 90,000,000 Hertz or 90 MHz. If that was all that there was, this technique would not be very useful because all protons would absorb radiation of the same frequency and there would be no way to tell them apart. What actually happens in a compound, is that the electrons around each atom interact with the magnetic field to slightly shield the nucleus from the magnetic field. Depending where a proton is in a compound, this shielding can be larger or smaller, with protons on CH3 groups being very shielded and protons in aromatic systems being very de-shielded. The shielding effect is actually very, very tiny, and the frequency of the absorbed radiation is only 1 part in 1,000,000 or 1 part per million (ppm) different from our original frequency. Thus, if we have a proton absorbing energy at 90,000,000 Hz, and we see a typical 1 ppm shielding, its resonance frequency will vary by 1 part in a million or 1.000001, so it will resonate at 90,000,090 Hz. These frequencies are very cumbersome to write down. To make things even more complicated, lots of different magnets built into NMR machines, and these magnets can make protons absorb radiation anywhere from 60 MHz up to 1,000 MHz. So we can directly compare the data 124 obtained from these machines, chemists have adopted the convention of simply setting one resonance to be a 0 reference, and then displaying the other frequencies in ppm (parts per million) difference from this standard. Thus in our NMR spectrum, the X–axis is measured in ppm. Further, when we prepare your sample, we use a solvent with the reference standard already in the solvent, so you will have a peak in your spectrum at 0 ppm, and you will use this peak to calibrate you X-axis. Once this calibration is done in the computer, all the other peaks are set, any you can directly compare your data with that taken on any other instrument, regardless of how big or small it’s magnet was. Since our reference contains extremely well shielded protons, we place this zero on the right hand side of our spectrum. Our sample usually contains protons that are less shielded so you see the protons of your sample as peaks to the left of the reference, and we use a chemical shift scale running form right to left to display how many ppm difference there is between your sample peaks and the standard. During the day’s experiment you might notice another reason for using this internal standard.. Our machine uses a permanent magnet, and the magnetic field actually changes and drifts around slightly over the course of the day. We used a standard sample in the morning and set the machine so the standard was at zero initially, but, by the time you run your sample, there is a good chance that the field has drifted slightly so your reference peak is no longer at 0.00 ppm. If you notice this, make sure you are shown how to readjust the data display so your reference is back at zero where it should be so all your other peaks come out where they are supposed to. While the interactions that shield and deshield a nucleus can be calculated, these calculations are way beyond what most chemists want to deal with, so we will use our X axis in a very empirical manner. We know that under normal circumstances most protons in a sample resonate between 0 and 10 ppm. Protons in CH3 groups are usually around 1 ppm, protons in CH3 groups next to a C=O are a but further to the left (have a higher ppm number), and protons in an aromatic ring system will have ppm values in the 6-10 region. You will see in your NMR spectrum that there is also lots of fine structure, or smaller subpeaks within each main peak. To a trained organic chemist these peaks all have special meaning and can be used to completely identify every single resonance in a spectrum and to associate it with distinct protons in a chemical structure. We won’t go that far in this lab. Here we will just remember that every compound has a unique NMR spectrum, and that this spectrum is a constant and does not change, so if you look at a pattern from a pure compound, and then see that same pattern in your sample, you know that you have that compound in your sample. Below are NMR spectra for the solvents hexane, methanol, isopropyl alcohol, ethyl acetate, cyclohexane, acetone, and 1-propanol, the unknowns used in your boiling point experiment. Near the NMR you will also find a folder containing these spectra presented in a larger format, and with a diagram relating peaks in the NMR spectrum to protons on the molecule’s structure. 125 Using boiling points to identify compounds is not the greatest way to determine the identity of a material. Lots of different compounds will have the same boiling point, and impurities can make the boiling point change. On top of that, in Spearfish our elevation makes liquids boil 2-3 degrees lower than expected, so you will probably identify your unknown incorrectly. This is where NMR comes in. The NMR spectrum of every compound is unique, and it can be used to absolutely identify an organic compound. At the NMR you will find 7 sample tubes already filled with the solvents you used in the boiling point experiment. Find the tube that matches the unknown you used. Place it in the NMR instrument and obtain an NMR spectrum. Once you have printed out the spectrum, compare it to the reference spectra and identify your liquid unknown. Was your guess based on the boiling point correct? Reference Spectra 1. Acetone 126 2. Cyclohexane 3. Ethyl Acetate 127 4. Hexanes 5. Isopropyl Alcohol 128 6. Methyl alcohol 7. 1-Propanol 129 Supplemental Material - Infrared (IR) Spectroscopy Infrared (IR) Spectroscopy is another method used to characterize compounds in the chemistry lab. It is exactly analogous to the visible spectroscopy we did in Experiments 10 and 11, the only difference is that we are using low energy infrared light instead of higher energy, visible light. When you excite molecules with IR energy, the added energy is not enough to push electrons from one orbital into another, like we were doing with visible light. Instead what you are doing is making the atoms in the molecule vibrate back and forth in different ways. Since every compound has a different set of chemical bonds to rotate and vibrate, the IR spectrum of every compound is unique like a fingerprint and can be used to absolutely identify a compound. Just as we did in Experiment 10, the first step is to scan a compound’s absorbance at many wavelengths, and then to plot this information as intensity vs wavelength. At typical IR spectrum is shown below: Hexanes (straight and branched chains) You should notice two main differences between this curve, and the one you obtained for the dye in experiment 10. First, the Y axis is in % transmission instead of absorption. IR techniques are not nearly as quantitative as UV techniques, hence most of the time you don’t bother with converting your signal from raw % transmittance to true absorbance Second, the X axis is in units of wavenumber (cm-1) instead of wavelength. If you go back to Experiment 9, you will see that wavenumber is a measure of frequency, and when wavenumber is in units of cm-1 this number means how may waves you would find in one centimeter. Historically these were the first units used in IR spectroscopy, and they have remained the preferred unit. You should remember, however, that it is just a little algebra to convert from frequency to wavelength so the units are, essentially interchangeable. 130 Now that you have seen the differences, let’s talk about the spectrum itself. First, remember that a high transmittance means that the light is being transmitted though the sample and it is not being absorbed. Thus, in this kind of plot, you should have mostly signal along the upper edge, indicating that light is passing through the sample, and an absorbance corresponds to a valley or trough that goes down. In the hexane sample the only chemical groups we have are -CH3 and CH2-. You can see one major valley around 2800-3000cm-1. This occurs from the C-H bond stretching and deforming in different ways and is an indicator of the presence of CH moieties in a compound. There are also more absorbances in the 1450-1500, and 1350-1400 range that arise from more intricate deformations of the H-C-H bonds Compare the straight chain hexane spectrum to that of cyclohexane below: Cyclohexane Notice how you still have bands at 2800-3000, 1450-1500, and 1350-1400 cm-1, but how they shift around a little and the relative intensities have changed slightly. While cyclohexane is still a hexane, the carbons are restrained to the ring system, so the vibrations that can occur within this system are slightly different. Thus you get a spectrum that shows all the characteristics of a hydrocarbon, yet has some unique differences that can be used to identify an exact compound. One word of caution in comparing spectra, never use the absolute depth of an absorbance to compare spectra, only use the frequencies or positions at which the absorbances occur. As you saw in Experiment 10 absorbance depends on three things, the molar absorbtivity, the concentration and the path length. In this experiment where we are simply putting a few drops between two windows and squeezing the window together, the pathlength varies from experiment to experiment, so the absolute absorbance, and the depth of the peak will also vary. Now lets look at some other functional groups Alcohols Below are the spectra of three different alcohols, Methanol (CH3OH), 1-propanol (CH3CH2CH2OH) and Isopropanol (CH3CHOHCH3) 131 Methanol 1-Propanol Isopropanol In addition to the CH bands we saw earlier, there are now several added peaks. Notice the large, broad peak in the 3500 range this absorption is due to the stretching of the O-H bond. In addition there are one or more sharp bands around 1000 cm-1. This band is due to C-O stretching and OH deformations. It is usually around 1050 for 1o alcohols, 1100 for 2o alcohols, and 1150 for 3o alcohols. 132 A C=O bond is going to have a different vibration frequency than a C-O-H bond, so let’s examine the spectrum of a ketone, in this case acetone. Acetone Notice how the broad OH band around 3500 has disappeared? The strong absorbance around 1700cm-1 is a C=O stretching band that is diagnostic for the presence of a ketone. The frequency of this band shifts slightly when other constituents are located near the ketone. The sharp but weaker band at 1400 is also associated with the presence of a ketone Finally let’s look at an ester, ethyl acetate, since this compound will include both C=O stretches and C-O-C stretches: Ethyl Acetate Notice how the C=O stretch has shifted slightly up to around 1750cm-1. We have also picked up a new C-O stretch in the 1250 cm-1 region. The presence of both of these strong bands is indicative of an ester. 133 Experiment 17. Determination of the Enthalpy of Vaporization of H2O Purpose: In this experiment you will: <Determine the vapor pressure of water at several temperatures <Use a plot of ln(Pwater) vs 1/T to determine ÄHvap for water <Calculate the normal boiling point of water Background Molecules of a liquid can escape the liquid’s surface and go into the gas phase in a process called vaporization or evaporation. To do this, energy must be supplied to the system to overcome the forces holding the liquid molecules together. The energy required to vaporize one mole of a liquid is called the heat of vaporization, or the enthalpy of vaporization, ÄHvap Given enough time, most liquids will evaporate away to nothing because some molecules in a liquid are always escaping from a liquid’s surface. On the other hand, if you put a liquid in a sealed container the material will not evaporate away. Why is that? In the sealed container molecules are still escaping from the liquid’s surface, but, at the same time, molecules are also condensing out of the gas phase and going back into the liquid. The final result is that we reach an equilibrium state where the number of molecules leaving the liquid is equal to the number of molecules re-entering the liquid. If we measure the vapor pressure of the gas now, when it is at equilibrium with the liquid, we are measuring the equilibrium vapor pressure or, more simply, the vapor pressure of the liquid. The vapor pressure of a liquid varies with its temperature. As the temperature of a liquid increases, the individual molecules have more energy, so more molecules can escape from the liquid into the vapor phase. The more molecules we have in the vapor phase, the higher the vapor pressure. This is not a linear relationship; the vapor pressure increases exponentially with the temperature of the liquid. The relationship between pressure and temperature can be turned into a linear relationship if we plot the natural logarithm of the pressure vs 1/T. Plotting the data in this manner gives us an added bonus, the slope of the line is equal to the enthalpy of vaporization, ÄHvap. The exact relationship is: In today’s lab we will determine the vapor pressure of water at several temperatures, plot the ln (natural logarithm) of the pressure against 1/T and use the slope of the line to determine the ÄHvap of water. The literature value for this parameter is 43.9 kJ/mol. Your final task will be to use your data to determine the normal boiling point of water. 134 Experimental Procedure A. Record the barometric pressure, using the barometer on the wall B. To set up your apparatus. For today’s experiment you will need: 10ml graduate cylinder 1000ml beaker test tube tongs hot plate temperature probe You will find 1000ml beakers half filled with de-ionized water already heating on hot plates at your bench. Fill your 10ml graduate cylinder with enough de-ionized water to give a bubble of 3ml-4ml volume when you quickly invert the cylinder inside the 1000ml beaker, trapping the bubble in the cylinder. Use the test tube tongs to hold the cylinder in place in the beaker. Fill the beaker with de-ionized water, covering the graduate cylinder completely. Heat the water to a temperature of 75o to 80oC. The bubble inside the graduate cylinder will expand as the temperature increases, allow it to expand beyond the gradations on the cylinder, but not to escape the confines of the cylinder. Once the water has reached temperature carefully remove the beaker from the hot plate. Watch the volume of the bubble carefully as the temperature drops. Once it is within the calibration markings on the cylinder begin to record the volume of the bubble and the temperature. Record the volume every 3oC until the water cools to 50oC. Now add ice to the beaker to cool the water down below 5oC and record the temperature and volume of the bubble. Make a diagram of you experimental setup in your lab notebook. Analysis In looking at this experiment you should expect the volume of the gas bubble to increase with temperature because all gases expand when they are heated. If you go through the calculation however, you will find that the volume of the bubble gets much larger than you would expect. This is because only a fraction of the bubble’s increase in size is due to the expansion of the air in the bubble. Most of the expansion is due to water vapor entering the gas bubble to further increase it’s volume. This is where we start our calculations. At the lowest temperature, about 5oC, the vapor pressure of water is so small that we can make the approximation that the bubble contains only air. Since the bubble contains only air, we can go back to the ideal gas law and calculate the number of moles of gas molecules in the bubble. PV=nRT; PV/RT = nair Where nair will be the number of moles of air molecules, P will be the atmospheric 135 pressure in atm, V is the volume of the bubble in liters, R is the gas constant (.08206 L@atm/k@mol) and T is the temperature in K. At all of the higher temperatures water will have a significant vapor pressure, and the bubble will contain a mixture of air and water. Last semester we also learned that in mixtures like this you can treat the two gases independently, and that the total pressure is equal to the sums of the individual pressures. Thus: Ptot = Pair + Pwater We can calculate the Pair at each temperature by using the ideal gas law and solving for P PV=nRT; Pair =nairRT/V We get the Pwater by recognizing that Ptot is the total pressure, and that is always equal to the atmospheric pressure so: Ptot = Patm = Pair + Pwater; Pwater = Patm- Pair At this point you now have several different Pwater values at several different temperatures so you can start the Hvap analysis. You have already seen the equation we are going to use: The equation of a line is Y = mX + B, so if you plot 1/T as X, and ln(Pwater) as Y, you will have a line with a slope = -ÄHvap/R. and the intercept of C. Please remember that the T must be in K, and that in this equation you will use the other gas constant, R=8.3145 J/K@mol. Plot your data as accurately as possible on your graph paper. Use a straight edge or string to find the line of best fit. This line will have and equal number of points above it as below it, and you will have roughly the same total distance between the points on either side of the line and the line itself. Once you have found a line you like, draw it on your graph. The equation for the slope of a line is (Y2-Y1)/(X2-X1), so find two convenient points on you line, determine the X and Y values of these points, and calculate the slope of the line. Now use this slope and the proper equation to find the Ähvap of water. The final calculation for today’s lab is one I’m going to leave for you to figure out. The definition of normal boiling point is the temperature at which the vapor pressure of a liquid is exactly 1 atm. Use your data to determine this value. I can think of two different ways to determine this using your data. Here is a hint for each method. Method 1. Where on your plot would you find the point Pwater =1 atm? Method 2. Look at the Clausius-Clapeyron equation in Chapter 10 of your text. 136 Name: Report Sheet Determination of the Enthalpy of Vaporization of H2O Barometric Pressure ________________ V (l) t (oC) T (K) 1/T (K-1) Pair (atm) Below record volume of the bubble at the lowest temperature, Show calculation for moles of air contained in your bubble. Show calculation of Pwater at one temperature 137 Pwater (atm) ln Pwater Graph ln Pwater vs 1/T (K), drawing the line of best fit. From your graph calculate the slope of the line. Staple your graph to the report sheets. Slope ____________ (You are welcome to use Microsoft excel to draw your graph, fit the best line and print up the slope. And if you are a spreadsheet wizard you can also use the spreadsheet formulas to calculate all of the information needed for the table on the first page of the report sheet. Just staple a copy of your spreadsheet, showing data table and graph, to the report sheets. ) ÄHvap for water _____________, show calculation Normal Boiling point of water __________ , show calculation 138 Experiment 18. Freezing-Point Depression Purpose In this experiment you will determine the molar mass of an unknown substance from its freezing-point depression in a cyclohexane solution. Background Freezing-point depression, boiling-point elevation, and osmotic pressure are collectively referred to as colligative properties. Colligative properties are properties that depend only on the number of solute molecules in a solution, and not on the chemical properties of the solute molecules. We routinely use colligative properties of different solute in water without thinking about it. We add antifreeze to our car’s radiator to keep the radiator fluid from freezing in winter or boiling in summer. We throw salt on a sidewalk to lower the freezing point of the ice on the sidewalk so it will melt. In today’s lab we will focus on freezing-point depression. In freezing-point depression the addition of a nonvolatile solute to a solvent to make a solution lowers the vapor pressure of the solvent. This lowering of the solution vapor pressure both lowers the freezing point and raises the boiling point. The exact change in the freezing point may be calculated using the equation : Where: ÄT = Tfreezing point of solvent - Tfreezing point of solution. Kf = molal freezing-point depression constant and is a characteristic of the solvent. msolute = molal concentration of the solute (moles of solute/ kilogram of solvent). 139 Procedure Experiment 1 Determination of the freezing point of cyclohexane While the freezing point of a solution is easy enough to define, it is the temperature at which both solid and liquid forms of a solute can exist, the exact determination of this temperature can sometimes be experimentally difficult. Here we will use a cooling curve to help us find the freezing point of our solvent. To make a cooling curve the solvent is placed in an ice bath and the temperature of the solution recorded over time. The temperature of the solution initially falls at a steady rate, then, as the solution freezes, the temperature of the solution remains constant until the solvent has completely frozen. Sometimes supercooling may be observed in the solvent actually gets colder than its freezing point, but because crystals of the solid haven’t formed, the solution doesn’t freeze. Dry your large test tube and accurately weight it to three decimal places. Obtain about 15 mL of cyclohexane and place this in your test tube. Weigh the test tube and the cyclohexane together to get an accurate determination of the mass of cyclohexane you will be using today. Fill a 400 mL beaker with an ice-water mix. Place your thermometer and wire stirrer in your test tube, and then place the test tube assembly in your ice-water beaker. When the temperature of the cyclohexane gets lower than 15oC, record the temperature of the solvent every 15 seconds until the hexane has frozen, about 5-10 minutes. When the experiment is over, heat the solution back to room temperature, and repeat the experiment 2 more times. Experiment 2 Determination of the molar mass of an unknown substance When a nonvolatile solute is added to a solvent the freezing point is depressed. From Equation 1 you know that the freezing-point depression is a function of the solvent’s molal freezing-point depression constant and the solute’s molal concentration. The molal freezing point depression constant for cyclohexane is 20.0 oC @ kg/mol. The freezing point depression for the unknown substance will be determined in much the same way as the freezing point of the pure solvent. A weighed amount of the unknown is placed in the test tube and completely mixed with the solvent. A cooling curve for the 140 solution is then determined. One change that will be observed is the solution will not freeze at a single temperature as the solvent did, but will instead freeze over a range of temperatures. This happens because the pure solvent is freezing on the outside of the tube while the solute remains in the liquid and gets more and more concentrated as more and more of the solvent freezes to the tube. Which temperature corresponds to the true freezing temperature? The initial temperature that is observed before the freezing process begins. How do you find that temperature? You must fit your data with two straight lines, one that fits the initial cooling of the solution, and a second that fits the freezing of the slush mixture. Where these lines intersect is the freezing point of the solution. Accurately weigh about 0.1 gram of the unknown and add it to your cyclohexane containing test tube. Determine the cooling curve for this mixture. Warm the test tube to room temperature, accurately weigh and add another 0.1 gram sample of the unknown to the test tube and determine the cooling curve of this solution. Repeat one more time. Determine the ÄT for the three solutions. From the ÄT of the solution on the molal freezing-point depression of cyclohexane determine what the molal concentration of the three solutions must have been. From the molal concentration of the solutions and the weight of the solute used to make the solution, determine the molecular weight of the unknown. Remember that you added more and more solute to the solution, so you should be working with the cumulative weight of solute in each solution. The empirical formula for the unknown is C3H2Cl. Don’t forget to make a diagram of your experimental setup in you lab notebook. 141 Name: Report Sheet Freezing point Depression Mass of test tube and cyclohexane______________ (g) Mass of test tube ______________ (g) Mass of cyclohexane (the solvent)______________(g) I. Freezing point of cyclohexane (solvent) Run I Freezing point of cyclohexane ________ Average freezing point of cyclohexane: Run II ________ Run III ________ ______________oC II. Freezing point depression of unknown Solute Mass data Mass of unknown added in run 1 ______________g Mass of solute____________ Mass of unknown added in run 2______________g Total mass of solute now ____________ Mass of unknown added in run 3 _____________g Total mass of solute now ____________ 142 Freezing point data Run Freezing point (oC) Freezing point depression (ÄT) 1 2 3 Analysis Kf for cyclohexane _____________________ Molality of solution run 1 ___________________ Molality of solution run 2 ___________________ Molality of solution run 3 ___________________ Show calculation of molality: Moles of solute present in solvent: Run 1 _______________ Run 2 ______________ Run 3 _______________ Calculation of moles of solute: 143 Molecular Weight of solute: Run 1__________ Run 2 __________ Run 3 __________ Calculation of molecular weight: Average molecular weight_____________________ Molecular Formula of Unknown: ____________ Please attach copies of all Excel graphs used in your analysis 144 Experiment 19. Rate Law for the Iodine Clock Reaction Purpose In this experiment you will study the concentration dependence of the rate of a reaction. Background The rate of a chemical reaction is dependent on a number of physical and chemical properties of the reactants. In this experiment, we will observe and measure the effect of concentration of the reacting species on the rate of a reaction. After plotting the data to determine the reaction order for each reactant, the rate law may be deduced. The reaction to be studied is the reduction of iodate ion by hydrogen sulfite ion in acid medium: 3 IO3- (aq) + 8 HSO3- (aq) + 2 H+ (aq) Y 8 HSO4- (aq) + I3- (aq) + H2O(l) The progress of the reaction will be followed by adding starch to the reaction mixture and observing the appearance of a blue colored complex which forms between the I3- and the starch. The blue color will appear when the triiodide ion concentration reaches a certain level, so the time that it takes to appear is a measure of the rate of the reactions. To simplify the data analysis, the reaction order for each reactant should be determined separately. This is done by holding the concentrations of two of the three reactants at some constant level and varying the concentration of the third. For example, to determine the reaction order for the iodate ion, you do a series of reactions with different iodate ion concentrations in each run but with constant hydronium ion and hydrogen sulfite ion concentrations in all of the runs. Then, in another sequence you vary the hydrogen sulfite ion concentration at constant iodate ion and hydronium ion concentrations, and so on. Tabulate your data using as headings "mL potassium iodate", "mL sodium sulfite", “mL sulfuric acid”, and "time required for reaction.” Convert all of the reactant levels to molar concentrations in the 100 mL of reacting solution. 145 Procedure Form teams of two or three. Team members will work together on Part I. Divide labor on Parts II, III, and IV. If you divide up the runs for a given one of the Parts, be sure to use the same stock solutions for all of the runs. Experiment 1 Preparation of solutions There should be about 1liter of H2O in a round bottom flask at your desk for making the following solutions. Weigh out 3.4 g of KIO3 (s) and transfer this to a clean 600 mL beaker. Add 400 mL of distilled water and swirl until the salt has dissolved. This is the stock iodate ion solution. Label the beaker. Weigh out 0.25 g of Na2SO3 (s) and transfer this to a clean Erlenmeyer flask. Add 200 mL of distilled water and swirl until the salt has dissolved. This is the stock sulfite ion solution. Label the flask. Measure out 4.0 mL of 3.0 M H2SO4 (aq) in a 10 mL graduated cylinder and transfer to another clean Erlenmeyer flask. Add about 200 mL of distilled water. This is the stock acid solution. Label the flask. Obtain about 20 mL of the starch solution in a clean 50 mL beaker. Clean a buret and fill it with your stock iodate ion solution. The buret will be used to deliver the proper volume of this solution directly into the reaction vessel. Use your large graduated cylinder to measure the water needed, your medium graduated cylinder to measure the sulfite ion solution, and use your small graduated cylinder to measure the acid solution. The starch will be added by filling an eyedropper and squiring the entire dropper full into the reaction vessel. Experiment 2 Rate Dependence on Iodate Ion Concentration. Measure 10.00 mL of the iodate ion solution from your buret into a clean 400 mL beaker placed on a sheet of white paper. Add (in this order) 75.0 mL distilled water, 5.0 mL of the acid, and one dropperful of starch solution. Measure 10.00 mL of the sulfite solution 146 into the graduated reserved for that solution. Observe your watch, or the wall clock, which can be read to seconds, and quickly pour the cylinder of sulfite solution into the beaker, rapidly mix the contents using a stirring rod, and note the time. Continue stirring until a blue color appears. Record, to the nearest second, the time required for the blue color to appear. Repeat the experiment using 20.0 mL of iodate ion solution, 65.0 mL water, 5.0 mL acid, one dropper full of starch and 10.0 mL of sulfite ion solution. Repeat the experiment using 30.0 mL of iodate ion solution, 55.0 mL water, 5.0 mL acid, one dropper full of starch and 10.0 mL of sulfite ion solution. Repeat the experiment using 40.0 mL of iodate ion solution, 45.0 mL water, 5.0 mL acid, one dropper full of starch and 10.0 mL of sulfite ion solution. Experiment 3 Rate Dependence on Hydrogen Sulfite Ion Concentration. Repeat the experiment using 20.0 mL of the iodate ion solution, 70.0 mL water, 5.0 mL acid, one dropper full of starch, and 5.0 mL of sulfite ion solution. Repeat the experiment using 20.0 mL of the iodate ion solution, 65.0 mL water, 5.0 mL acid, one dropper full of starch, and 10.0 mL of sulfite ion solution. Repeat the experiment using 20.0 mL of the iodate ion solution, 60.0 mL water; 5.0 mL acid, one dropper full of starch, and 15.0 mL of sulfite ion solution. Repeat the experiment using 20.0 mL of the iodate ion solution, 55.0 mL water, 5.0 mL acid, one dropper full of starch, and 20.0 mL of sulfite ion solution. Experiment 4 Rate Dependence on Hydronium Ion Concentration Repeat the experiment using 20.0 mL iodate ion solution, 67.5 mL water, 2.5mL acid, one dropper full of starch, and 10.0 mL of sulfite ion solution. Repeat using 20.0 mL iodate ion solution, 65.0 mL water, 5.0 mL acid, one dropper full of starch, and 10.0 mL of sulfite ion solution. 147 Repeat using 20.0 mL iodate ion solution, 62.5 mL water, 7.5 mL acid, one dropper full of starch, and 10.0 mL of sulfite ion solution. Repeat using 20.0 mL iodate ion solution, 60.0 mL water, 10.0 mL acid, one dropper full of starch, and 10.0 mL of sulfite ion solution. Calculations Each team member should collect raw data from her/his partners and perform the calculations independently. The experimental rate law for a reaction is an equation relating the observed reaction rate to a rate constant k and the known concentrations of the reactants ([IO3-], etc.) raised to some powers (i.e. reaction orders a, b, c). Since the rate is inversely proportional to the observed reaction time t, we may write 1/t % rate = k [IO3-]a [HSO3-]b[H+]c Since we are mainly interested here in determining the reaction orders and not k, we may rewrite this equation after taking the logarithm as log (1/t) = constant + a log ([IO3-]) + b log ([HSO3-]) + c log ([H+]). When only one of the reactant concentrations, such as [IO3-], is varied, the equation simplifies to the linear form log (1/t) = constant + a log ([IO3-]), and we may obtain the value of “a” as the slope in a plot of log (1/t) versus log([IO3-]). The values of “b” and “c” are found similarly. The advantage of a log-log plot is that the data should fit to a straight line, which is easier to draw by hand than a curved line fit. Using your raw data, tabulate your team's log(l/t) and log([X]) values, where [x] refers to the concentration being varied in each series. Make three separate plots and determine the reaction orders for each species. Do the experimental reaction orders have integer or noninteger values? Why? Write the overall rate law for the "iodine clock" reaction. 148 Name: Report Sheet Rate Law for the Iodine Clock Reaction I. Preparation of Solutions starting material amount (g or ml) volume of water added (mL) reactant stock concentrations (mol/L) KIO3 Na2SO3 H2SO4 Calculations Show how your team calculated the concentration of each of the reactants above. [IO3-]: [HSO3-]: [H+]: (Note: Assume that 1 mol of H2SO4 produces 1 mol of H+) 149 II. Rate Dependence on [IO3-] The amounts of HSO3- and H+ were held constant during this part. HSO3-: volume (mL): ____________ diluted concentration (M) = ____________ H+ :volume(mL):_____________ diluted concentration (M) = ______________ run # vol. stock IO3(ml) log [IO3-] diluted [IO3-] (M) reaction time (s) log(1/time) Calculation Show how you calculated [IO3-]for run #1: Plot: Attach a graph of log(1/t) vs log [IO3-]. The slope of this plot is the order of the reaction with respect to IO3-. (Graph paper may be found on following pages) IO3- reaction order = _________________ III. Rate dependence on [HSO3-] The amounts of IO3- and H+ were held constant during this part. IO3-: volume (mL) = ______________diluted concentration (M) = ____________ H+: volume (mL) = _______________diluted concentration (M)= ___________ run # vol. HSO3stock (mL) diluted [HSO3-] (M) log [HSO3-] 150 reaction time (s) log (1 / t ) Calculation Show how you calculated [HSO3-] for run #1: Plot: Attach a graph of log (1/t) vs log [HSO3-]. The slope of this plot is the order of the reaction with respect to HSO3-. HSO3- reaction order = ______________ IV. Rate dependence on [H+] The amounts of IO3- and HSO3- were held constant during this part. IO3- : volume (mL) = ________________ diluted concentration (M)____________ HSO3- : volume (mL) = ______________ diluted concentration (M)____________ run # vol. (mL) stock H+ diluted [H+] (M) log [H+] reaction time (s) log (1 / t) Calculation Show how you calculated [H+] from run #1: Plot: Attach a graph of log (1/t) vs log [H+]. The slope of this plot is the order of the reaction with respect to H+. H+ reaction order = _________________ V. Rate Law Summarize your results by writing the overall rate law for the iodine clock reaction: rate = _____________________________________ 151 Experiment 20. Reaction Rates Purpose In this experiment you will investigate various different factors that influence the rates of chemical reactions. Background Chemical reactions occur as a result of collisions between atoms, molecules, or ions of the reactants (reacting substances). The rate or a reaction is defined as the change concentration of a substance per change in time. The units or a reaction rate are often mol L-1s-1. Many reactions take place in steps, but for most reactions, it is only the disappearance of the reactants and the appearance of the products that can be observed. The rate of reaction can be determined experimentally by measuring the concentration of one of the reacting substances or a product as a function of time. Accurate quantitative measurements of reaction rates require carefully designed experiments. However, qualitative observations of a variety of chemical changes are possible. For example; if a gas is evolved from a solution, one can observe the bubbling to see how fast the reaction is occurring. If a colored product is formed, one can observe the change in color with a lapse of time. We know that combustible substances vary to a great degree in the ease with which they can be ignited. White phosphorus must be stored under water to prevent contact with the air; otherwise it would ignite at room temperature. On the other hand, there are many substances that are very difficult to burn. For a reaction to occur, the molecules of the reactants must be in physical contact with each other. The rates of reactions are affected by several conditions that alter the activities of molecules. Let us enumerate the conditions on which the reactions depend: the chemical and physical nature of the reactants, the concentration of reactants, the temperature, and the presence of a catalyst Nature of Reactant Chemical. Potassium combines with oxygen much more rapidly than does lead under the same circumstances. Platinum does not combine directly with oxygen at all. Physical (Surface Area). A large piece of wood will catch fire more slowly than thin shavings of this same wood. A large piece of coal will burn much easier if it is broken into small pieces. An increase in the amount of surface exposed increases the reaction rate, assuming that other conditions are the same. 152 Concentration of Reactants Since the rate of a reaction depends upon the frequency of molecular collisions, it is reasonable to believe that substances would burn more rapidly in pure oxygen than they do in air. In air, only about 21 percent of the molecules are oxygen, hence, when a substance burns in air, the concentration of oxygen is important. To cite a specific example, sulfur burns more rapidly in a bottle of oxygen than it does in air. The same dependence of reaction rates on concentration is true for solutions. For instance Zn metal will react faster with 6 M HCl (aq) than with 1 M HCl (aq) and with 1 M HCl (aq) faster than with 0.1 M HCl (aq). Temperature As a general rule, the rate of a chemical reaction is approximately doubled by a temperature increase of 100C. For example, coal is stable in air at room temperature, but above its ignition temperature it burns rapidly. The rates of oxidation of iron, aluminum, and lead also take place much more rapidly at elevated temperatures. Furthermore, it is easy to observe that reaction rates in solutions increase as temperature increases. For example, consider the reduction reaction of a red solution of iron(III) thiocyanate with tin(ll) chloride. Assume that two solutions of iron(III) thiocyanate are treated with equal quantities of tin(ll) chloride at different temperatures, one at 200C and the other at 300C. The reaction rates may be compared by observing the fading of the red color, and in this case the fading should be about twice as fast in the warmer solution. The reaction which we will investigate is that between the thiosulfate ion (S2O32-) and a strong acid. The net ionic reaction is: 2 H+(aq) + S2O32-(aq) Y S(s) + SO2(g) + H2O The insoluble sulfur gives the solution a milky appearance. The rate of the appearance of the white, milky precipitate serves as an indication of the rate at which the reaction proceeds. Catalyst Many reactions are affected by a catalyst or an inhibitor; some are accelerated (catalyst) and other are retarded (inhibitor). Potassium chlorate decomposes very slowly into potassium chloride and oxygen at 4000C. 2 KClO3 (s) Y 2 KCl (s) + 3 O2 (g) When manganese dioxide (catalyst) is added, decomposition occurs at a much lower temperature. 153 In the synthesis of ammonia, it is necessary to use a catalyst in order for nitrogen to react with hydrogen. N2 (g) + 3 H2 (g) X 2 NH3 (g) The reaction which we will investigate is the decomposition of hydrogen peroxide according to the reaction: 2 H2O2 Y 2 H2O + O2 (g) The evolution of the gas, O2, causes bubbles which may serve as an indication of the rate of reaction. Procedure Experiment 1 The Effect of the Nature of the Reactants (Physical: Surface Area) Place a tin shot in one test tube and an equivalent amount of granular tin in a second test tube. Add 2 droppers full of 12 M HCl (aq) to each test tube. Keep the concentrated acid in the hood. Compare the rates of reaction. Explain. Experiment 2 The Effect of Temperature Measure 10 mL of 0.050 M sodium thiosulfate solution into each of seven clean test tubes. Make sure these test tubes have been throughly washed, since traces of acid from the previous experiments will ruin this experiment. Place one of the test tubes in a 400 mL beaker of cold water (about 150C) such that the water in the beaker level is slightly above the level of the solution in the test tube. Obtain a watch that can be read to seconds. Measure 1.0 mL of 0.1 M sulfuric acid in a 10 mL graduated cylinder. Pour this acid into the thiosulfate solution, tightly cover the test tube with a piece of parafilm, then quickly turn the test tube upside-down one or two times to mix the acid and the thiosulfate, and return the test tube to the water bath and start the timer. Watch the solution closely and note the time at which a faint cloudiness first appears. Record the elapsed time and temperature of the water in the beaker. Remove the test tube in which the reaction has occurred, rinse and wipe it dry. Add hot water to your beaker until the thermometer shows that it is about 5o C warmer than your previous experiment. Now place another thiosulfate test tube in the beaker and give it a minute or two to come to the same temperature as the water bath. Now add acid to this test tube and repeat your experiment at this higher temperature. Record this time and 154 temperature. Repeat this procedure for successive 5 0C rises in temperature, using the remaining five samples. Tabulate the temperature (T) and elapsed time (t) for each solution. Estimate each reaction rate as 1/t. Plot ln(rate) versus 1/t (in Kelvin) and fit a straight line through the points. Determine the activation energy for the reaction from the slope of the fitted line. How does this result support the theory that only “activated” molecules are capable of reacting upon collision? Experiment 3 The Effect of Catalysts A) Pour 2 droppers full of 3% hydrogen peroxide solution into each of two clean test tubes. Add a pinch of manganese dioxide to one of the tubes and note what occurs. Explain. B) Place 2 droppers full of 3% hydrogen peroxide solution in each of three test tubes. To the first and second test tubes add 5 drops of 1M iron(III). What happens to the rate of H2O2 decomposition in the presence of iron(III)? Add 5 drops of 6M sulfuric acid to the first test tube only. What happens to the appearance of the iron (III)? What happens to the rate of H2O2 decomposition? Explain. Experiment 4 The Effect of the Nature of the Reactants (Chemical Reactivity) A) Place 2 droppers full of 2 M HCl (aq) into one test tube, 2 droppers full of 2 M HOAc (aq) into a second test tube and 2 droppers full of 2 M HOAcCl (aq) (chloroacetic acid) into a third test tube. To each of these test tubes add a piece of magnesium ribbon. Observe the difference in rates of reaction. Explain. B) Place 2 droppers full of 6M HCl(aq) in each of three test tubes. Carefully sprinkle a few granules of zinc into one test tube, magnesium into another and tin into the third. Compare the rates of reaction. 155 Name: Report Sheet Reaction Rates I. Effect of Reactant Size Explain how the physical shape of a tin sample affects the rate of the reaction with HCl(aq): II. Effect of Temperature Complete the following table with your data for the reaction of S2O32-(aq) with H+(aq) at seven different temperatures. Plot the natural logarithm of reaction rate (rate = 1 / time) versus the reciprocal of the absolute temperature, fit the data to a straight line, then determine the slope of this line. Include with this report sheet a print out of the graph. Run # Observed T (oC) 1/T(K-1) Observed reaction time (s) rate (1/time) ln(rate) 1 2 3 4 5 6 7 Find the activation energy, Ea, with appropriate units from your graph. Show how you determined Ea. 156 III. Effect of a Catalyst 1. Which of the following statements describing the decomposition of hydrogen peroxide (H2O2) in the presence of manganese dioxide (MnO2) is FALSE: a) MnO2 remains in the solid state throughout the course of the reaction b) the solution is colorless, even after gas bubbles have ceased to form c) MnO2 is consumed during the reaction; more than a small amount is needed d) the rate of formation of gas bubbles increases when MnO2 is present 2. What happened to the rate of H2O2 decomposition when you added Fe3+? When you added Fe+3 and acid? Explain. IV. Effect of the Nature of the Reactants 1. Explain why magnesium ribbons react differently with HCl(aq) CH3COOH(aq), and ClCH2COOH(aq), even though the acids have the same concentration. 2. Explain why tin, zinc, and magnesium metals have different rates of reaction with the same acid solution: 157 Experiment 21. Solubility of Calcium Iodate Purpose In this experiment you will determine the solubility constant for calcium iodate hexahydrate. Background This experiment is designed to acquaint the student with the nature and the determination of solubility products for slightly soluble salts. The salt to be studied is calcium iodate hexahydrate. When salt crystals dissolve in a solvent, the energy released as the ions become solvated more than compensates for the lattice energy which held the ions together in the crystal before they dissolved. The greater freedom (measured by the quantity T ÄS) enjoyed by the dissolved ions with their associated solvent molecules helps to keep the ions in the solution. The balance between these various kinds of energy determines how much of a salt will dissolve. An excess of salt crystals in contact with a solution of the salt will eventually result in a saturated solution. The weight of salt in a given volume of a saturated solution is a measure of its solubility which for purposes of this experiment, will be expressed in molarity. Solubilities of the various salts differ greatly. For instance, a saturated solution of mercury (II) sulfide contains only about 10-26 mole of each of Hg2+ (aq) and S2- (aq) per liter. Thus, one would find on average only one mercury (II) ion and one sulfide ion in every thousand or so liters of solution. On the other hand, calcium chloride is so soluble that it can dissolve in water it spontaneously removes from moist air. When a crystal of salt dissolves to form solvated ions, the quantity of positive charge associated with the positive ions in solution is equal to the quantity of negative charge associated with negative ions. (The only region of the solution where this may not be strictly true is at the surface of crystals in contact with a saturated solution. Even so, the total positive-to-negative charge-ratio in the bulk of the solution is never detectably different from one.) This is called the principle of electroneutrality and will always apply to electrolyte solutions. 158 Consider the salt Ca(IO3)2, dissolving in water to form a saturated solution. The reaction is: Ca(IO3)2(s) º Ca2+ (aq) + 2 IO3- (aq) The symbol “aq” is used to represent water being consumed to hydrate the ions. The equilibrium constant for the reaction is: Ksp = [Ca2+] [IO3-]2 The subscript “sp” indicates that K is a special kind of equilibrium constant called a solubility-product constant. The concentration of Ca(IO3)2 (s) does not appear in the equilibrium constant expression because it does not vary appreciably as the salt dissolves. One Ca2+ ion is formed as each unit of Ca(IO3)2(s) that dissolves. Thus: [Ca2+] = [Ca(IO3)2]dissolved For every Ca2+ ion there are two IO3- ions appearing as products in solution. Therefore: [IO3-] = 2 [Ca2+] = 2 [Ca(IO3)2 (s)]dissolved Then, Ksp =[Ca(IO3)2(s)]dissolved (2 [Ca(IO3)2(s)]dissolved)2 = 4 ([Ca(IO3)2]dissolved)3 To calculate Ksp one need only to analyze a measured volume of saturated solution for Ca2+ or IO3- . The IO3- concentration can be determined conveniently using the reaction of this ion with iodide ion according to IO3- (aq) + 8 I- (aq) + 6 H+ (aq) Y 3 H2O + 3 I3- (aq), followed by determination of I3- concentration by titration with a standard thiosulfate solution according to: I3- (aq) + 2 S2O32- (aq) Y 3 I- (aq) + S4O62- (aq). 159 Procedure Get about 120 mLs of a saturated solution of calcium iodate in a labeled 250 mL beaker (The solutions were prepared a few weeks ago. Solid calcium iodate was added to water, and since then, some of the solid has dissolved until the solution became saturated.) Filter this through filter paper, which is folded and inserted into your glass funnel, into a clean, dry 250 mL beaker. Pipet 25.00 mL of the filtrate into a 250 mL Erlenmeyer flask, and add 2 g of KI crystals, 5 mL of 6 M H2SO4 (aq) and 25 mL of distilled water (note that a reaction takes place in the flask). Titrate with a standard sodium thiosulfate solution (the standard titrant is available in the lab; fill a 250 mL beaker about one-half full of this, and do not waste it). Use 2 mL of starch solution as indicator, added when the solution has become pale yellow which is just before the endpoint. The endpoint is the disappearance of the blue color of the starch-I2 solution. Calculate [Ca2+ (aq)] in the saturated Ca(IO3)2 (aq) solution. Repeat the titration three more times with three more 25.00 mL portions of the filtrate. Calculate Ksp of Ca(IO3)2 @ 6 H2O. Save the remainder of the filtrate for the qualitative tests. Qualitative tests on a saturated calcium (II) iodate solution Many cations form relatively insoluble iodate salts. One of the most insoluble is Pb(IO3)2 whose Ksp is 1.2 x 10-13. A. Test: To about 1 mL of your Ca(IO3)2 solution add 2 drops of 0.10 M Pb(NO3)2 (aq). Record your observation in your notebook and on the data sheet. Write the equation for the reaction. Calcium ion forms insoluble salts with a few anions other than IO3- , some of which are less soluble than the iodate salt. These include the carbonate and oxalate ions. B. Test: To about 1 mL of your Ca(IO3)2 solution add 1 mL of 0.10 M Na2CO3 (aq). Record your observations in your notebook and on the data sheet. Write the equation for the reaction. 160 Questions for your Notebook 1. Write the oxidation half-reaction, reduction half-reaction and the net ionic equation for the reaction of an aqueous acidic solution of iodate ion with excess iodide ion. 2. Write the oxidation half-reaction, reduction half-reaction and the net ionic equation for the reaction of an aqueous acidic solution of I3- with S2O32-. 161 Names: _________________ _________________ Report Sheet Solubility of Calcium Iodate I. Concentration of Thiosulfate Titrant Solution: Stock [Na2S2O3] (M) = ________________ II. Data and Calculations Quantity trial 1 trial 2 Final Buret Initial Buret Volume (mL) Na2S2O3 (aq) volume (mL) Ca(IO3)2(aq) [IO3-] (M) [Ca2+] (M) Ksp Show how you calculated [IO3-] for trial 1: Show how you calculated [Ca2+] for trial 1: 162 trial 3 trial 4 Show how you calculated Ksp for trial 1 III. Results Report your average value for Ksp and its standard deviation. Ksp = _________________________± __________________ (Average) (std. dev.) IV. Discussion Questions 1. Write and label the half-reactions for the oxidation of I- (aq) by IO3- (aq) in acidic solution. 2. Write and label the half-reactions for the reduction of I3- (aq) by S2O32- (aq). 3. Write a balanced net ionic equation describing the reaction between aqueous sodium carbonate and a saturated calcium iodate solution. 163 4. Ksp = 1.2 x10-13 for the reaction Pb(IO3)2 (s) W Pb2+ (aq) + 2IO3- (aq). Suppose that a student mixes 1.00 mL of a 1.00 x 10-7 Pb(NO3)2 (aq) solution with 10.0 mL of a 3.00 x 10-3 M Ca(IO3)2 (aq) solution. Will a precipitate form? _____________ Show a calculation to support your answer. 164 Experiment 22. Acid-Base Strength of Salts Purpose In this experiment you will use a pH meter to examine salt solutions containing strong and weak acids and bases. Background In a previous experiment, we observed the acid-base characteristics of some oxides and hydroxy compounds. In this experiment we will study another sequence of acids and bases not only to classify them according to type, but also to determine their relative acid and base strengths. One method for experimentally measuring the relative strength of two acids is by reacting them with the same weak base and determining the extent of the reaction. The greater the extent of the reaction, the stronger the acid. A similar process can be used to determine relative base strengths by reacting them with the same weak acid. A convenient weak acid (or base) for the comparison, in many cases, is water, an amphiprotic material. Pure water undergoes autohydrolysis as follows: 2 H2O X H3O+ + OHWhen an acid stronger than water is placed in aqueous solution, a hydrolysis reaction can occur: HA + H2O X H3O+ + AThe stronger the acid, the more H3O+ that will be yielded in the reaction, and the more acidic will be the solution. When a base stronger than water is placed in aqueous solution, the hydrolysis reaction which occurs is: B + H2O X HB+ + OHThe stronger the base, the more OH- that will be yielded in the reaction, and the more basic will be the solution. 165 A quantity which is commonly used to evaluate the acidity or basicity of an aqueous solution is the concentration (in moles/liter) of the hydronium ion. This ion is always present to some extent in aqueous solutions because of the autohydrolysis reaction. Its concentration is very high in acidic solutions due to the acid hydrolysis reaction, and very low in basic solutions due to the base hydrolysis reaction. The hydronium ion concentration is usually recorded in terms of a quantity called the pH where pH = -log [H3O+]. We will study this quantity in much greater detail later on in the course during the consideration of ionic equilibria. It is sufficient at this point to know that a low pH value is associated with more acidic solutions, and a high pH value is associated with more basic solutions. Pure water has a pH of 7.00 at room temperature. The following diagram summarizes the normal pH range found with weak acids and bases in aqueous solution: Weakly Weakly Very acidic acidic Neutral basic Very basic +)))))))))))))0))))))))))))0))))))))))0))))))))))))), 0 3.5 7 10.5 14 In order to use this scale to determine the relative acidic or basic strength of a salt, we will measure the pH of the solution prepared by dissolving the salt in water. If the solution is neutral, then probably neither of the ions formed when the salt ionized in solution has hydrolyzed to any appreciable extent. If the solution is acidic, then one of the ions is a stronger acid than water, and it has hydrolyzed to form some hydronium ion. The ions that are stronger acids will hydrolyze more than the weaker ones, producing more hydronium ions, and making the pH lower. Likewise, if the solution is basic, then one of the ions is a stronger base than water, and it has hydrolyzed to produce hydroxide ion. Stronger bases hydrolyze more, yielding higher pH values. The pH meter is an electrical device designed to measure the hydronium ion concentration of an analytic solution. In the study of Voltaic cells, it was noted that electrodes placed in solution would obtain a potential due to the redox properties of the chemical constituents of that solution. There also exist electrode systems which are designed so that the potential on the electrode is independent of the solution species with which it is in contact. These are called reference electrodes. If two reference electrodes (with potentials E1 and E2) are placed in a solution and their potential difference (ÄE) is measured with a voltmeter, then: ÄE = E1 - E2 = ER thus ER will be constant for a given set of reference electrodes. 166 If one of these electrodes is separated from the analytic solution by means of a membrane barrier, a new potential, Em, is introduced into the above equation: ÄE = ER - Em where Em is the potential arising from the flow of charge carriers through the membrane. This is caused by the charge flow properties of the membrane material, the difference in charge buildup between the inside and outside surfaces of the membrane, and the effect of the analytic solution on the charge of the outside surface of the membrane. In effect, Em is dependent on the potentials arising at the inside surface (Ei) and the outside surface (Eo) of the membrane. Em = Ei - Eo For a given reference electrode and membrane, Ei is constant, so that: ÄE = ER - Ei + Eo = ER + Eo Membranes can be designed so that the charge on the outside surface (and therefore Eo) is dependent on the concentration of one specific chemical species in the solution into which it is immersed. Thus, with ER constant, a change in the meter reading (ÄE) indicates a change in Eo which is proportional to the concentration of the desired species. An electrode which is sensitive to hydronium ion contains a glass membrane of specific chemical composition which interacts selectively with the [H3O+] in the analytic solution. The potential on the outside surface is related to the pH in the following manner: Eo = 0.0591 pH so that: ÄE = ER + 0.0591 pH This is an equation of the form y = mx + b, in which the meter reading is directly proportional to the pH, with an intercept of ER. The pH meter is a voltmeter whose voltage scale has been replaced with a scale which reads directly in pH units. The intercept (ER) is initially set by calibrating the instrument with a buffer of known pH. The pH of any solution can then be read directly from the scale. 167 Procedure Use of the pH meter Certain precautions must be observed when operating the pH meter. First, since the tip of the electrode has a fragile glass bulb, be careful not to bump it against the beaker or hit it with a stirring rod. Second, do not expose the electrode to air for more than 10 seconds; transfer it reasonably quickly from one solution to another, and store in water when not in use. Third, the electrode only measures pH accurately between values of 2 and 12, so it should not be used in strongly acidic or basic solutions. Fourth, the electrode should be rinsed off with distilled water during the transfer between solutions, so that samples are not contaminated by drops of a previous sample. The use of the computer based pH system will be demonstrated by your instructor. Please take note of all precautions. The interfaces cost $200 each, and the electrodes cost $50. BE CAREFUL! The electrode should be stored in the plastic holder with a pH 4 buffer solution. To make a pH measurement, remove the electrode, rinse with distilled water from your wash bottle, blot the electrode gently with a kimwipe, and carefully put it in the solution to be measured. Make sure it is properly submerged (Check with instructor if unsure). Find the window on the computer display that gives the pH reading of your electrode. After immersing your electrode in your solution, wait a minute of two for the pH reading to stabilize. Gently swirl or stir the solution once or twice during this minute. After the measurement remove the electrode, and rinse before immersion in the next solution or the holder. In order to ensure accurate measurement of the salts, it is imperative that all your glassware used be immaculately clean. Tiny traces of acid or base leftover from previous experiments can severely distort a measurement. 168 A. Preparation of the Solvent In order to obtain proper measurements with the electrode, it is necessary to use water in which a neutral salt has been dissolved, rather than pure distilled water. Weigh out approximately 2.5 g of KCl (s), and dissolve in approximately 500 mL distilled water in a 600 mL beaker. Use this solution whenever reference is made to your “solvent.” B. Measurement of Salt Solutions 1. Place 30 mL of the solvent in a 100 mL beaker and measure the pH. Record this initial pH. This ought to be a neutral solution, but the pH may be slightly due to CO2 (g) which dissolves from the air to form carbonic acid, H2CO3 (aq). Without removing the pH electrode add a large spatula tips of (a) NH4Cl (s) and stir until it dissolves. Record the final pH. Did the pH go up or down? Repeat the procedure with a fresh sample of solvent and NaC2H3O2 (sodium acetate). 2. Repeat, using (a) NaNO3 (s), (b) Mg(NO3)2 (s), and (c) Al(NO3)3 (s). 3. Repeat, using (a) NaClO4 (s), (b) Na2SO4 (s) and (c) Na3PO4 (s). 4. Repeat using (a) NaH2PO4 (s), and (b) Na2HPO4 (s). Compare these two to Na3PO4 (s) in part 3 (above). Questions for your Notebook 1. For parts 2-5, construct the following table. Salt Initial pH of solution Final pH Acid or Ion of solution Base Responsible Conjugate form Overall of ion Strength 2. For each of parts B.2, B.3 & B.4, rank the substances by extent of hydrolysis (pH); e.g. A > B > C. For each part give an explanation of the differences in extent of hydrolysis based on charge density. 169 C. Comparison with acidic and basic oxides 1. Put a fresh 30 mL portion of solvent into each of two beakers. Into one beaker dissolve a spatula tip of (a) CaO (s) and into the other beaker dissolve a spatula tip of (b) CrO3 (s). Measure the pH of each. 2. Into a fresh 30 ml portion of the solvent, use a straw to gently blow 3 breaths of air. Measure the pH. (The air from your lungs should be a good source of CO2. If you hold your breath first you will have even more CO2 in your lungs, but be careful - don’t pass out!) Questions for your Notebook 1. How do the pH's of the solutions of CaO and CrO3 compare to those for the salts of Section B? 2. Did the CO2 from your lungs have any effect on the pH of the solution? 3. In general, should the pH’s of ionic oxides be >7 or <7? In general, should the pH’s of covalent oxides be >7 or <7. Did you observe any exception to these general rules? If you did observe an exception, can you explain why the exception occurs? D. Acid-Base Reactions and Conjugate Pairs 1. Place 30 mL of 0.10 M NH3 (aq) in a 100 mL beaker and 30 mL of 0.10 M NH4Cl (aq) in a second beaker. Measure the pH of each solution and determine which is acidic and which is basic. To the acidic solution, add 6 M NaOH (aq) dropwise, measuring and recording the pH after the addition of each drop. Continue adding NaOH (aq) until the pH rises to a reading of about 12. To the basic solution, add 6 M HCl (aq) dropwise, measuring and recording the pH after the addition of each drop. Continue adding the HCl (aq) until the pH drops to a reading of about 2. 2. Place 30 mL portions of your solvent (KCl in H2O) into each of two 100 mL beakers and repeat the above dropwise additions of HCl (aq) into one, and NaOH (aq) into the other. 170 Questions for your Notebook 1. For the two cases in section D.1, make a rough graph of pH vs. drop number. Explain the shapes of the curves in terms of reactions taking place. 2. Compare the results of Section D.2 to those of Section D.1 and explain the difference. 171 Name: Report Sheet Acid-Base Strength of Salts I. pH of Salt Solutions salt Initial pH Final pH acid, base or neutral Ion responsible conjugate form of acidic/basic ion KCl -‘solvent’ NH4Cl NaCH3CO2 NaNO3 Mg(NO3)2 Al(NO3)3 NaClO4 Na2SO4 Na3PO4 Na2HPO4 NaH2PO4 1. Which of the following cations has the least positive charge density? {Na+, Mg2+, A13+} Which one is least acidic? {Na+, Mg2+, A13+} 2. Which of the following anions is most basic? {CH3CO2-, NO3-, ClO4-, SO42-, PO43-, HPO42-, H2PO4-} 172 II. pH of Oxides 1. Write the net ionic equation describing the reaction between CaO (s) and H2O (l): 2. Write the net ionic equation describing the reaction between CO2(g) and H2O(l): 3. The pH CaO solution is {greater than, less than, equal to} the pH of the CO2 solution. III. Acid-Base Reactions 1. Write the net ionic equation for the reaction between NH4Cl (aq) and NaOH (aq): 2. Write the net ionic equation for the reaction between NH3 (aq) and HCl (aq): 3. Explain why the pH at the stoichiometric point is not the same for the two reactions above. 4. Predict the pH (± 1 unit) at the stoichiometric point in the reaction between a) CH3COOH (aq) and NaOH (aq) pH. b) Na3PO4 (aq) and HCl (aq) pH. 173 Experiment 23. Buffers and Potentiometric Titrations Purpose In this experiment you will use a pH meter to study buffer action of weak acid/base solutions. Background A buffer solution is composed of a weak acid and its salt or a weak base and its salt. Such solutions can absorb moderate amounts of strong acid or base with only small changes in pH. For example, in an acid buffer, the salt is able to react with added acid to minimize pH changes. The weak acid has the same effect on added base. As long as the concentration of the weak acid or its salt is not exceeded by the added base or acid the solution will remain buffered. However, a buffer is most effective when the concentrations of weak acid and its salt are equal. These statements also apply to solutions of a weak base and its salt. Buffers play a significant role in chemistry where they may be used to maintain a pH during a reaction. Buffers also play an important role in the chemistry of living systems. Such systems are very sensitive to pH changes. One of the most important buffers in living systems is the CO2:HCO3-:CO32- buffer system. For the above reason, buffers are also important in many drugs. It is interesting to compare a buffered system with a non-buffered system of the same pH. This will be done in this experiment using a H2PO4-:HPO42- buffer of around pH 7 and comparing it to water. Procedure I. Preparation and Properties of a Buffer 1. Obtain about 30 mL of 0.10 M NaH2PO4 solution in a 250 mL beaker and about 30 mL of 0.10 M Na2HPO4 solution in a second 250 mL beaker. Measure the pH of each solution. Mix these two solutions to prepare a buffer solution and measure its pH. Also measure the pH of distilled water. 174 2. Place 20 mL of the buffer solution from 1 in a 100 mL beaker and 20 mL of distilled water in a second 100 mL beaker. Add 1 mL of 0.1 M HCl (aq) to each beaker and measure the pH’s. 3. Place 20 mL of the buffer solution from 1 in a 100 mL beaker and 20 mL of distilled water in a second 100 mL beaker. Add 1 mL of 0.1 M NaOH (aq) to each beaker and measure the pH’s. 4. To study the effect of adding an excessive amount of strong acid to a buffer, add 5 mL of 0.1 M HCl (aq) to the remaining 20 mls of buffer solution from 1. Measure the pH. Add an additional 5 mL of 0.1 M HCl (aq) to the buffer solution and measure the pH. Finally add an additional 10 mL of 0.1 M HCl (aq) to the buffer solution and measure the pH. At what point does the buffer finally stop buffering? 5. Interpret the above results in terms of your knowledge of buffers. II. Potentiometric Titration A. Using at 25.00 mL volumetric pipet, deliver 50.00 mL (two 25.00 mL aliquots) of approximately 0.1 M hydrochloric acid into a 250 mL beaker. Fill a buret with standardized NaOH (aq) (approx. 0.2 M). Place the pH electrode in the acid solution and position the buret so that direct additions can be made to the beaker from the burette. Record the initial pH of the acid solution. Add 1.00 mL of base, swirl the solution to ensure complete reaction and record the pH reading. Continue adding 1.00 mL portions, swirling, and taking pH readings until the pH begins to rise more quickly (this should require a total of 23 to 24 mLs of titrant). Add titrant in 0.20 mL portions as the pH is changing rapidly, and continue this until the pH starts to level off at some high value. Finish the titration with several 1 to 2 mL additions. In your notebook make a data table with mLs of base in one column and pH in a second column Plot this data on graph using excel and attach this graph to your report sheet. Indicate on this graph where the equivalence (stoichiometric) point is. Calculate the actual molarity of the hydrochloric acid from the given concentration of the NaOH (aq) and the number of mLs it takes to get to the equivalence point. B. Repeat the procedure in A above using 50.00 mL of approximately 0.1 M acetic acid in place of the hydrochloric acid. Make a data table and plot the data in excel as above. On the graph indicate both the equivalence point, and the point where pH=pKa . Also calculate the concentration of acetic acid. 175 Name: Report Sheet Buffers and Potentiometric Titration I. Buffers Solution Measured pH 0.10 M NaH2PO4 0.10 M Na2HPO4 buffer distilled water distilled water + 1 mL acid buffer + 1 mL acid distilled water + 1 mL base buffer + 1 mL base Write the net ionic equation for the reaction between HCl (aq) and the buffer solution. Write the net ionic equation for the reaction between NaOH (aq) and the buffer solution. II. Potentiometric Titration 1. Plot the titration curves for the two reactions. On each graph, indicate the pH and the volume of base added at the equivalence point. If done on a computer, include a print out of your graph with this report. 2. Calculate the concentration of hydrochloric acid used in the first titration. [HCl] = mol/L 3. Show calculation: 176 4. Calculate the concentration of acetic acid used in the second titration. [CH3COOH] = mol/L 5. Show calculation: 6. Calculate Ka for acetic acid Ka = 7. Show Calculation: 8. Consider a buffer solution formed by mixing 0.100 mol CH3COOH and 0.100 mol CH3COOK into 1.00 L water. a). Use your data to estimate the pH of this buffer solution. pH = b). Write the net ionic equation that describes the reaction that would occur if HCl (aq) was added to this acetate buffer: Attach plots of your two titration curves. 177 Experiment 24. Structures of Organic Molecules Purpose: In this experiment you will: 1. build models of organic and biochemical molecules 2. examine different isomers of compounds with the same empirical formula 3. examine examples of different organic compounds Background The structures of molecules and solids are largely responsible for their physical and chemical behaviors. Compounds with similar empirical formulas may have very different properties because the positions of the atoms and the electronic charge distributions may be very different. Therefore, chemists often write pseudo-structural formulas for a molecule to indicate precisely how the atoms are connected. For example, we often write CH3COOH instead of C2H4O2 for acetic acid. A physical model provides even more details about the spatial relationship of the atoms in a compound. A model may allow us to view the overall 3-D shape (spherical, flat, rod-like, etc.) of a molecule, to appreciate how flexible it is, or to gauge the distance between atoms that are not directly bonded to each other. Models also enable us to predict how entire molecules interact with each other in a condensed phase. In any event, we must not take the meaning of models too literally, because models never provide a perfect description of real compounds. There are several different types of pieces in your plastic model kits. They are color coded and, in some cases, labeled according to the hybridization (sp, sp2, sp3) of the center atom. The black pieces usually represent carbon, while red or blue pieces represent other atoms such as oxygen, sulfur, or nitrogen. Special pieces are available to show double and triple bonds. Hydrogen atoms are usually indicated by simply leaving the end of the model piece unconnected. Other terminal atoms in a structure, such as halogens, may be shown using colored balls. Lone pairs of electrons are often not shown in a model, but they must be taken into account when establishing the geometry around a central atom. Complex molecules containing multiple center atoms are built by recognizing the shape of each center atom, assembling that center, and then connecting the centers together according to a Lewis structure or drawing of the molecule. When a molecular model is built, the free rotation about single bonds may allow the model to be twisted into a variety of conformations. If single bonds link atoms into a ring, the conformations are limited because the bond angles at each center are fixed. Multiple bonds are rigid and fix the shape of that part of a molecule. Therefore, atoms bound to a center with a double bond may be connected in different, non-interconvertable ways. Molecules that differ only by this kind of connectivity are 178 called geometrical isomers. The shape of a molecule and the types of atoms it contains determines whether that molecule is polar or non-polar. In a large molecule, it is often possible to recognize a smaller unit containing a group of atoms bonded in a specific way. The sub-unit causes a particular chemical behavior of that molecule, so the set of atoms is called a functional group. Very large “macromolecules” often contain repeating patterns of simple units; in polymers, these units are called monomers. Procedure Work in teams of two or three. Construct models of each of the molecules and solids listed on the report sheet. Have your instructor check your models and answer the corresponding questions at each step before you proceed to the next set. Use caution when smelling the compounds that are stored in the fume hood as some of them are extremely powerful. MODEL STRUCTURES YOU WILL BUILD 1. Alkanes: These are simple hydrocarbons with sp3-hybridized carbon atoms. Alkanes may be gases, liquids, or solids. They are often used as fuels. 2. Alkenes: Carbon-carbon double bonds (sp2-hybridized carbon) do not rotate. Geometrical isomers are possible. Alkenes, such as ethylene (H2C=CH2 ) and vinyl chloride (ClHC=CH2 ) may be polymerized. 3. Rings: Hydrocarbons may form ring compounds with either sp3 or sp2 carbons. The differing shapes and flexibility of these compounds gives them very different physical and chemical properties. 4. Functional groups: Alcohols (-OH), carboxylic acids (-COOH), esters (-COO-), amines (-NH2), and aldehydes (-CHO) are distinguished by the presence of a characteristic group of bonded atoms (-XX). 5. The wide world of molecules: Some very interesting molecules are found in nature (especially in plants). Other molecules are synthesized for medicine or as explosives (e.g. trinitrotoluene, “TNT”). 6. Biochemicals: Biological molecules have highly specific functions in living organisms. Small changes in the shape of a molecule may greatly change its activity. 179 SAMPLES TO SMELL ethanol ethyl acetate acetic acid vanillin benzaldehydediethylamine naphthalene amylacetate MODELS TO VIEW testosterone guanine retinal cytosine deoxyribose thymine 180 adenine Names:_______________ ______________ Report Sheet Structures of Organic Molecules Have your instructor initial next to each of the structures listed below to confirm that your model correct. After completing each numbered set of structures, answer the question with the corresponding number on the next page. I. MODEL STRUCTURES TO BUILD 1. Alkanes (Interchapter F) methane (CH4 ) ______ ethane (C2H6 )___________ butane (C4H10) _______ (2 structural isomers) pentane (C5H12) __________ (3 structural isomers) propane (C3H8 )_________ 2. Alkenes and alkynes (Interchapter G) ethene (C2H4)_________ 2-pentyne _______________ cis-2-butene _________ trans-2-butene _______________(G.2) cis-1,2-dichloroethene _____________ trans-1,2-dichloroethene _____________(G.1) 3. Cyclic hydrocarbons (Interchapter H) cyclohexane C6H12 (p.1004) ________ Boat and chair forms benzene C6H6 (H.1)____________ naphthalene* C10H8, (H.5) ________ 4. Different Functional Groups (Interchapter P) ethanol* C2H5OH (P.1)_________ acetic acid* CH3COOH____________ benzaldehyde* (p. 1014) ________ ethyl acetate* (R.4) _________ diethylamine* ((C2H5)2NH)________ amyl acetate*(p1015) ____________ 5. Other interesting molecules Build these two TNT (H.4)______________ 1,4-dibromobenzene (H.4) _________ Write these structures in your notebook and identify the functional groups vanillin* (p. 1014) acetylsalicylic acid (p.1015)___________ 181 6. Biological Molecules Build: alanine (T.1) ___________ View premade models : retinal _________ testosterone _________ deoxyribose (T.7) ________ Adenine _______ Cytosine________ Thymine________ Guanine_______ (T.7) * Sample available to view, or smell. QUESTIONS (numbers correspond to the model structures you built) 1. These hydrocarbon compounds are called alkanes. What is the smallest alkane having more than one possible structure (isomer)? _____________ How many structural isomers can you find for pentane? __________________ 2. Which one of these six compounds has a non-zero dipole moment (i.e. is polar) _____________________ 3. Which one of these three compounds is not flat? __________________ Naphthalene is the smallest of a class of compounds called polycyclic aromatic hydrocarbons (PAHs), which concern some environmental chemists. Naphthalene has a very characteristic odor - of what? __________ 4. Each of these compounds contains a basic functional group attached to a hydrocarbon fragment, which may be denoted as R. Which one is an alcohol (general formula R-OH)? What is the general formula for an aldehyde? _____________ Which compound smells nasty/fishy/ammonia? _________________ Which compound smells fruity? ____________________ 5. Acetylsalicylic acid is a popular, well established drug; what is its common name? ____________________________ 6. Match each these compounds with one of the following applications: a sugar_______________ photochemical receptor_____________ an amino acid _____________ male sex hormone ___________ 182 Appendix 1. Data Analysis Chemistry is a quantitative science: wherever possible it defines its concepts more sharply by associating numbers with them. Properties associated with numbers are called quantities and the process of obtaining this number is called measurement. Measurement of a quantity consists of comparing that quantity with a quantity of the same type. The quantity used for comparison is a unit. All quantities take the form Quantity = Number x Unit. Thus, we might report that a length = 5 cm. The number (the magnitude of the quantity) is 5 and the unit is the centimeter. Pure numbers are quantifies whose unit is 1; they are also referred to as dimensionless quantities. Except for pure numbers, quantities without units are meaningless. A length reported as 5 gives us no information about the unit; it could be cm, m or some other unit Include appropriate units at all stages of your calculations. Errors in Measurements Attempts to measure a quantity, to get its “true value," generally yield values associated with errors. These errors are of two types, systematic errors and random errors i.e., True value = Measured value + Systematic error + Random error Both these errors have signs, i.e., they can be either positive or negative. ! Systematic errors can be distinguished from random errors in that they always have the same value both in magnitude and sign. They arise from the use of poor quality, incorrectly graduated instruments, bad experimental technique, use of the wrong experimental conditions etc. They can be avoided by correcting the causes that lead to them, e.g., calibrating the instruments, improving technique, etc. ! Random errors, unlike systematic errors, vary from measurement to measurement, both in sign and magnitude. This unpredictability of random error is a characteristic feature. According to the theory of probability we can correct for random error by taking many measurements and taking the average: it is very likely that there are as many positive errors as negative errors of the same magnitude so that they cancel out on taking the average. Random errors arise due 183 to uncontrolled or “uncontrollable” factors like fluctuations in temperature and other experimental conditions, random human errors etc. We can attempt to minimize them but they cannot be altogether avoided. To make these concepts more definite we need to define some new quantities. The average of a series of n measurements Y1, Y2, Y3, ... Yn of the same quantity is defined by where the G indicates summation from i = 1 to i = n. The average is our best estimate of the true value free of random error. However, because we calculate from the erroneous individual measurements Yi, we cannot be certain that has completely eliminated random error. The degree to which we can be certain of is given by the standard deviation ó defined by where again the summation is from i = 1 to i = n. The more the individual measurements deviate from (regardless of sign), the greater is the value of ó: the standard deviation is a measure of the spread of the measurements. The smaller the value of ó the more certain we can be that the calculated average is free of effects of random error. The technical term for spread is precision: more precise measurements have smaller values of ó and the individual measurements deviate less from the average value. We note from the definition that we can decrease the value of ó by taking more measurements. We have to strike a balance between reducing ó and not spending too long on the measurement. In general, we take about three or four measurements. In addition to taking replicate measurements, it is also important to reduce random variation or “fluctuations” in experimental conditions. The average by itself is not completely informative. We also have to give the standard deviation a of the series of measurements to indicate its precision. We usually quote the experimental estimate of value of Y, Yexptl as 184 Note that taking averages reduces the effect of random errors but does not correct for systematic errors. The error of the average value is defined as and where the vertical bars , , signify the absolute values, i.e., without sign. Thus, , 2 , = 2 and , -2 , = 2. Measurements with a small value of error are accurate measurements while measurements with small values of the standard deviation ó are precise measurements. Most often we cannot calculate errors because we do not know the “true value.” An important objective in experimentation is to get accurate values by (1) reducing systematic errors and (2) reducing uncertainty in our average by increasing the precision. We illustrate the meaning of accuracy and precision by considering the following problem: A mass whose "true" value is known to be 2.654 g was determined by three workers who obtained the following values: Set A 2.652 g 2.658 g 2.654g average = 2.655 g %error = 0.04% Std. deviation = 0.003 g Sample Calculation Set B 2.620 g 2.621 g 2.619g 2.620 g 1.3% 0.001 g Set C 2.660 g 2.680 g 2.640g 2.660 g 0.2% 0.02 g We have Mass true = 2.654 g and n = 3 for all three sets. 185 1. Average for Set A: Mass = = 2.655 g 2. % Error for Set A: % error = = 0.04% 3.Standard deviation for Set A: Using the formula = 0.003g Accuracy is a measure of the closeness of the average value to the true value and is measured by the error or % error. Clearly set A is the most accurate while set B is the least accurate. Precision is a measure of the closeness of the individual measurements to the average value and is measured by the standard deviation. Set B is most precise while C has the least precise measurements. How is it that B has precise measurements but is still the least accurate? Clearly B has some systematic errors present in his measurement. When the average was calculated for set A the calculator display read 2.654666667, and the standard deviation was (3.082...) × 10-3. This means that the results of A are uncertain by at least 0.003 g or 3 mg; information about errors in the 4th, 5th..etc. decimal places is not particularly useful. We therefore ! quote standard deviations and errors to only 1 figure, or at most 2 figures Thus for A, the standard deviation may be reported as 3 mg or 0.003 g (1 figure), or if you wanted to carry two figures, 3.1 mg or 0.0031 g (by “rounding-off”). Since the uncertainty is already in the mg range or in the 3rd decimal place if we give the mass in grams, it is meaningless to quote, in our average; figures beyond the mg range. We therefore “roundoff” the average to a mg, i.e., to the third decimal place when giving mass in grams: 2.654 g. If we wished to give the standard deviation to 2 figures, we would write the experimental value of A as 2.6547 ± 0.0031 g. In set C the standard deviation was 0.02 g, i.e., the error is in the 2nd decimal place. We must therefore not quote, in the average, figures beyond the 2nd decimal place: the correct reporting of C’s 186 value is 2.66 ± 0.02 g. If we had been reporting the masses in mg, the correct way of reporting the values would be: A: 2655 ± 3mg B: 2620 ± 1 mg C: 2660 ± 20 mg [more comments on this presently] Significant Figures When we report a value we are attempting to give information about the size of the quantity measured. The figures in our-reported value are significant to the extent that they do this; any figures which convey little or no information about the size of the quantity would be meaningless or insignificant. We use the following rules to include only those figures (significant figures) which convey useful information about the size of the quantity: ! First calculate the standard deviation, usually to one figure or at most two figures, never more than two figures. We will use one figure. ! Figures which correspond to sizes smaller than the standard deviation are insignificant and should not be included. ! Round off the average to correspond to the size of the standard deviation. For set A we found the standard deviation to be 0.003082...g; on rounding-off to one figure this became 0.003 g. This figure of 3:is in the 3rd decimal place and consequently we should roundoff the average of 2.654666667 g to the third decimal place as 2.665 g. There are four significant figures in this result, 2,6,6, and 5. The uncertainty is highest in the last figure, viz., 5 so it is called the least significant figure; the most significant figure is 2. When we do not quote standard deviations, the general convention is that the last quoted figure is in error by about 1 to 3. Thus in 24.56 mL the last figure is 6 in the 2nd decimal place, implying an error of about 1 to 3 in the 2nd decimal place, i.e., about 0.01 to 0.03 mL. In a value like 20.30 mL the error is about 1 in the 2nd decimal place and since all four figures signify sizes equal to or greater than this error, they are all significant: there are four significant figures in 20.30 mL. To indicate that the error was in the first decimal place we would have to report the value as 20.3 mL and the number of significant figures would be three. Changing the unit of a quantity is a mathematical, rather than an experimental, operation; it cannot change the number of significant figures. Thus 20.30 187 mL can also be written as 0.02030 L but this still has only four significant figures: the two zeros in front, since they do not have non-zero figures to their left, do not signify any meaningful size. We thus have the rule: ! Zeros with no non-zero figures to their left are not significant ! Zeros with non-zero figures to their left are significant Thus we have Measurement # of Sig. Figs 1.008 cm 4(1,0,0,8) 0.106 m 3(1,0,6) 303.01 cm 5(3,0,3,0,1) 0.00067 g 2 (6, 7) Avoiding ambiguity in conversion of units The quantity 14.8 m has three significant figures. If we express this in cm we would tend to write 1480 cm, wrongly implying four significant figures. To avoid this error use scientific notation and write 1.48 x 103 cm; this now implies, correctly, three significant figures. Similarly we earlier saw that for C the average was 2.66 g and the standard deviation was 0.02 g. The correct way to convert this to mg would be to write (2.66 ± 0.02) x 103 mg rather than 2660 ± 20 mg. Getting the best out of the measuring instruments The uncertainty in measurements cannot be smaller than the smallest measurements (sensitivity) the instruments used can make. However, with good technique it is possible to get precisions approaching the instruments' sensitivities. The analytical balance has a sensitivity of 0.0001 g and with care we can make weighings whose precision approaches this. Consequently it is good practice to read the instruments to values consistent with their sensitivities. When using the analytical balance we would record the mass to the 4th decimal place in grams. Similarly when using a 10 mL pipet we would record the volume as 10.00 mL, since with care, we can limit errors to a fraction of a drop ( . 0.05 mL); to quote the volume as just 10 mL would imply only 2 significant figures, as opposed to the 4 significant figures in 10.00 mL. Burets have graduations 0.1 mL apart, but it is possible to estimate by eye between the graduations; consequently buret readings can be quoted to the 2nd decimal place in mL, e.g. 26.43 mL or 24.50 mL. In summary: ! record weighings on the analytical balance to the 4th decimal place in grams. 188 ! record buret readings to the 2nd decimal place in mL ! record pipet volumes to the 2nd decimal place in mL Propagation of errors When quantities that are in error are combined by mathematical operations (addition, subtraction, multiplication, division, taking logarithms, exponentiation, etc.) the error in the result will obviously depend on the errors of the quantities used in the calculation and the type of calculation. The following are approximate rules for determining the error and the number of significant figures to be retained for a few simple operations: ! Do operations in brackets first, then multiplication/division and finally addition/subtraction. Within brackets, do the operations in this order. ! In addition and subtraction, the error cannot be smaller than the largest error in the quantities added or subtracted. First determine the smallest number of significant figures after the decimal point in the quantities added or subtracted. The result will have the same number of significant figures after the decimal point. In addition and subtraction we first decide the number of significant figures after the decimal point and allow this to determine the total number of significant figures. ! In multiplication and division determine the smallest number of significant figures in the quantities used. The final result will have the same number of significant figures. In multiplication. and division we first decide the (total) number of significant figures and then determine the error. 189 Examples Addition 19.82 g 1.981 g + 0.1425 g 21.9435 g First determine the quantity with the smallest number of significant figures after the decimal point. This is 19.82 g with 2 significant figures after the decimal point. Therefore the result will also have two significant figures after the decimal point. The result (21.9435 g) is rounded-off to 21.94 g. Multiplication 0.621 m x 0.21 m = 0.13041 m2 The factor with the smallest number of significant figures is 0.21 m, which has 2 significant figures. Therefore the result should be quoted to 2 significant figures. The calculator result of 0.13041 m2 is rounded off to 0.13 m2. Division 12.841 g ÷ 1.25 cm3 = 10.2728 g/cm3 The number with the smallest number of significant figures is 1.25 cm3, and has 3 significant figures. The final result should be quoted to three significant figures. The calculator result of 10.2728 g/cm3 is rounded off to 10.3 g/cm3. This has 3 significant figures but the error is in the first decimal place. Some factors are exact and have no error because they arise from theory, not experiment In Diameter = 2 x radius, 2 comes from theory and is exact: it really stands for 2.0000000... and should not be interpreted as having only one significant figure. In a conversion like kg = 1000 g, 1000 has no associated errors. The number 1.48 x 10 has 3 significant figures if we treat 10 as exact. Rounding off In rounding off, the last significant figure is increased by 1 if the figure that follows it is 5 or greater. Thus 0.16419 rounded to 2 sig figs is 0.16 since the following numeral 4 is less than 5 while 0.17682 rounded off to 2 sig figs is 0.18, since 6 >5. 190 Using Excel to Graph Data (Office 2013 version) Objectives: < < learn to use Excel to graph data learn how to use the trendline function to plot a line of best fit from a set of data points Graphing is an important method of analyzing data gathered from experiments. Graphing can make it easier to see trends in sets of numbers visually for comparison; or in the case of an experiment or assay that involves plotting a line of best fit for your data points, it is indispensable. Today we will use the Chart Wizard in Excel to plot sets of data points, then plot a line of best fit for the data, and finally have the equation for the line printed out on the plot (the line equation is written as y = mx + b, where m is the slope of the line and b is the y-intercept). Exercise I of this lab will lead you through the process of setting up a graph step by step. In Exercise II you will set up a graph for a different data set and learn how to designate data series and apply trendlines to more than one series. Exercise I. Step 1 find a computer with Microsoft Excel installed on it Step 2 select Excel and open the program Step 3 click on the ‘Blank Workbook’, the top left template Step 4 under Page Layout select ‘Size’ and click on ‘Letter’ 8.5" x 11" under Page Layout select ‘Orientation’ and click on ‘Portrait’ under Page Layout select ‘Margins’ and click on ‘Normal’ under Page Layout click on the lower right hand corner of the Page Layout box to bring up more options Under the ‘Header/Footer’ tab Click on the ‘Custom Header’ button Click in the Center Section box and type “Exercise I” and your name Click on ‘OK’ button Click on the ‘OK’ button Note: you could have set the margins and the orientation in the ‘Page Setup’ box as well! 191 Step 5 Enter the following column titles and data into columns A & B on the Excel spreadsheet. You can pull the columns wider by placing the mouse pointer on the column line and clicking and holding the left button while you drag the column wider. (Note: Excel will by default use data in column A for X values and data from column B for Y values in a scatter plot. And if you have data in columns A, B, C, & D highlighted it will plot three series using A as the x value for all three and B, C, and D as y values) Data for Enthalpy of Vaporization of Water 1/T (K -1) ln (Pvapor) .00283 -.799 .00286 -.941 .00288 -1.050 .00291 -1.204 .00293 -1.309 .00296 -1.470 .00298 -1.609 .00301 -1.772 .00304 -1.897 .00307 -2.040 .00310 -2.207 Here is how you get the superscripts and subscripts: First type in the characters ‘1/T (K-1)’ See how the characters are typed in both in the cell and in the long skinny box above? Use you mouse to highlight the characters ‘-1' in the upper box Now right click in the highlighted area Left click on ‘Format Cells’ in the drop down menu Left click on the Superscript box Click on ‘OK’ You should now have 1/T (K-1) displayed on your spreadsheet Follow a similar procedure to make ‘vapor’ a subscript in the header for the second column Step 6 Click and hold down the mouse button on the top left data item, then drag you mouse to the lower right hand data item and release the mouse button to highlight you data table Step 7 Click on the ‘INSERT’ Tab Click on the lower right hand corner of the ‘Charts’ box Click on the ‘All Charts’ Tab Click on the ‘X Y Scatter’ along the left side of this window At this point the window should show a little mini-plot of your data with no lines connecting the points. If this is so, click on the OK button at the bottom of the window, otherwise, click on the top left chart diagram that shows points with no connecting lines, then click on the ‘OK’ button 192 At this point you should have a reasonable plot of your data displayed on the spreadsheet. However the labels for the graph and for the axes are not right. Let’s fix them Step 8 Axis Titles Step 9 To correct the Chart Label, simply click somewhere near the Chart label. There should now be a box made with dashed lines around the label. Click somewhere in the printing in the label, and add or erase characters until the label is right. It should read: Data for the Enthalpy of Vaporization of Water. Now click at some other point in the chart. Do you see a green ‘+’ sign appear to the right of the graph? Click on that ‘+’ sign to add or remove Chart elements. Add the chart element ‘Axis Titles’ You should now have the words ‘Axis Title’ added to the left and the bottom of your two axes. Click on each of the titles and enter the appropriate title: 1/T in K-1 for the X Axis and Natural log of Vapor Pressure for the Y axis. You can even add superscripts and subscripts just as you did earlier. Adding Gridlines Step 10 Click on the ‘+’ sign to the right of the graph again Move your mouse down to the box that says ‘Gridlines’ and click on the arrow to the right of the box to bring up more options. Click on the boxes for ‘Primary Minor Horizontal’ and ‘Primary Minor Vertical’. More grid line should have appeared. Adjust the Axis Scale Step 11 Click on the ‘+’ sign appears to the right of the graph. Move your mouse to the ‘Axes’ box and click on the arrow to the right of the box to bring up more options. Click on the ‘More Options’ box. This will bring up the Format Axis menu. First click triangle to the right of the ‘Axis Option’ tab near the top of the menu. Now click on the ‘Horizontal (Value) Axis’ bar. You can now set the Bounds of this axis. Let’s leave the minimum alone, but change the maximum to .0031. Now you can go back to ‘Axis Options’ and change the ‘Vertical (Value) Axis’ maximum to -0.5 Adding a Trendline Step 12 Click on the ‘+’ sign appears to the right of the graph. Move your mouse to the ‘Trendline’ box. First click on the box, so it will display a trendline, and then click on the triangle to the right of the box so we can get more options. Click on the ‘More Options’ box. At the top of the Trendlines Options menu are three icons. Click on the rightmost icon that looks like three vertical bars. Under the Trendline Options make sure the button for a ‘Linear’ fit is on, and click on the box near the bottom for ‘Display Equation on chart’ Note: when you back to the chart you can click on the equation for the line and move it to a different spot on the graph if you want 193 Note: Another way to access many of the commands given on the previous page is to click anywhere on the graph first. Notice that two new tabs appear under the green ‘Chart Tools’ box. Click on the ‘Design’ tab the on then on the far left ‘Add Chart Element’ box. You now have a different way to get to these commands. Use whichever way you like the best. To Print Your Spreadsheet First you have to decide if you want to print just the graph or the graph and the spreadsheet together. If you want to print just the graph, click anywhere in the graph, then click on ‘File’, then click on ‘Print’ on the left hand side of the file menu, and hit the ‘Print’ Box. If you want to print the spreadsheet data and the graph, first click anywhere on your spreadsheet. Notice that the spreadsheet has a dashed line through the middle? This shows where the pages that you will print are separated. The chances are good that your graph straddles this line, so it will be printed on two different pages. This is not good. Click on your graph and move it so it is on the same page as your data. You may have to play with this a bit, because, depending on where you clicked on the graph, it may try to move a title or an equation. Also, once you have it positioned where you want it, click somewhere back on the spreadsheet, otherwise the next print command will print just the graph, and not the entire spreadsheet. Once you have your page set up, click on File, Click on ‘Print’ on the left and side, and hit the ‘Print’ box. 194 Names Section Report Sheet Excel Graphing Exercise I A. What is the equation for the trendline for the Enthalpy of Vaporization data? ____________________________ B. What is the slope of this line? __________ Staple a copy of your graph for Exercise I to this report sheet. 195 Exercise II. Accurately reading the freezing point of a solution from the graphed cooling curve data is more difficult than reading the freezing point of a pure solvent from its cooling curve graph. The pure solvent is easy as once it starts to freeze the temperature stays the same, levels off, and you can read the freezing temperature directly from the y axis. Whereas the cooling curve for a solution continues to drop as the solution freezes, due to the solute being more concentrated in the remaining liquid. So to find the “true” freezing point of a solution you need to plot the best fit line for the data points above where freezing begins, and a second best fit line for data points after freezing begins. You can use trendlines to fit your lines, but you still need to select the data points you use for the lines from all the data you gather with your cooling curve. This means you need to visually assess where the most linear portion of your above freezing data is and the most linear portion from the below freezing area, as there will be some data in the middle where the data is curving as it transitions from one slope before freezing starts to a second slope after freezing starts. Below you will find a table of data from a cooling curve for a solution of cyclohexane which contains 0.199 g of a solute. Using Excel and to set up a spread sheet with a data table and start to graph this cooling curve just like the one you did in exercise I. But once you reach Step 11 , Adding a trendline, we will do a few things differently. Go to the top of the next page to see detailed instructions. Data for Freezing Point of Cyclohexane with 0.199g of a solute added to it time (sec) Temp degrees C 0 15.0 15 12.8 30 11.1 45 9.5 60 8.4 75 7.3 90 6.6 105 5.9 120 5.3 135 4.9 150 4.6 165 4.4 180 4.3 195 4.4 210 4.4 225 4.1 255 3.8 270 3.8 285 3.8 300 3.7 315 3.7 330 3.7 345 3.5 360 3.5 196 Once you have reached Step 11 you should have a window containing the initial graph of all the cooling curve points plotted and the axes labeled and scales appropriately. Click anywhere on the graph. To the right of the graph are three icons. I’m not sure what the bottom icon is supposed to be, but click on it. This brings up a new window, click on the ‘Select Data’ box at the bottom right of the window. This brings up the Select Data Source Window. On the left hand side of this window click on the ‘Add’ button. Under ‘Series Name’ type “Above Freezing”. Next click on the tiny little graph to the right of the ‘Series X values’. Don’t type anything in, but go to the spreadsheet and right click on your first X value, and , still holding the mouse button down, drag the mouse to the seventh value (60). See how excel fills in these the Edit Series box? Now click on the tiny graph to the right of the ‘edit series’ box, any you will be returned to the main ‘Edit Series’ box. In a similar manner fill in the first 6 Y values in the ‘Series Y values’ box. Now click the OK button. Now that you have ‘Above Freezing’ points, in a similar manner add a ‘Below Freezing’ set of points that includes the values from 225 seconds to 360 seconds. When you are finished look at your graph. You should now have three different colored points on your graph. Now click on the graph so you get the ‘+’ sign to the right of the graph. Click on this and then click on the triangle to the right of the ‘Trendline’ box and click on the ‘More Options’ dropdown menu. The computer now wants to know which set of data you want to make a trendline for. Click on ‘Above Freezing’ and the ‘Format Trendline’ Menu will appear. Click on the rightmost icon (the three bars) near the top of this menu. Make this a ‘Linear’ trendline, and display the equation on the chart. Note that the trendline is just between the chosen points, and does not extend down. We want it to extend forward so we can see where it intercepts the trendline from the below freezing points. To do this, find the ‘Forecast’ section on this menu. Fill in 10.0 period in the ‘Forward’ box. Then click on the graph and see how this looks. It extended it, but not very far. Now simply click on the trendline, it will bring up the trendline menu, and adjust the forecast number until you see something you like. Now add a trendline for the ‘Below Freezing’ data, display the equation on the graph, and forecast the line backward so you can see where the two lines cross. At this point you may want to add additional gridlines and change the minimum and maximum on your axes so you get a high quality graph. 197 Names Section Report Sheet Excel Graphing Exercise II A. Equation for trendline above freezing Slope of line Y-intercept B. Equation for trendline below freezing Slope of line Y-intercept C. Calculate the Freezing Point of this solution two ways 1. By extending the trendlines and the point at which they intersect will give the freezing point Freezing Point from graph 2. By mathematically setting the line equations equal to each other solving for x, then plugging that x value back into one of the line equations to get the freezing point temperature, the y value. (Show calculation on back of report sheet) Freezing Point by calculation Staple a copy of your graph for Exercise II to this report sheet. 198 Using Excel to Graph Data (Office 2007 version) Objectives: < < learn to use Excel to graph data learn how to use the trendline function to plot a line of best fit from a set of data points Graphing is an important method of analyzing data gathered from experiments. Graphing can make it easier to see trends in sets of numbers visually for comparison; or in the case of an experiment or assay that involves plotting a line of best fit for your data points, it is indispensable. Today we will use the Chart Wizard in Excel to plot sets of data points, then plot a line of best fit for the data, and finally have the equation for the line printed out on the plot (the line equation is written as y = mx + b, where m is the slope of the line and b is the yintercept). Exercise I of this lab will lead you through the process of setting up a graph step by step. In Exercise II you will set up a graph for a different data set and learn how to designate data series and apply trendlines to more than one series. Exercise I. Step 1 find a computer with Microsoft Excel 2007 installed on it Step 2 select Excel and open the program Step 3 under the ‘Page Layout’ Tab select Size - Letter 8.5" x 11" Orientation- Portrait Margins - Custom Margins Top: 1 Bottom: 1 Left: .75 Right .75 OK 199 Step 4 Enter the following column titles and data into columns A & B on the Excel spreadsheet. (See data table on next page) You can pull the columns wider by placing the mouse pointer on the column line and clicking and holding the left button while you drag the column wider. (Note: Excel will by default use data in column A for X values and data from column B for Y values in a scatter plot. And if you have data in columns A, B, C, & D highlighted it will plot three series using A as the x value for all three and B, C, and D as y values) Data for Enthalpy of Vaporization of Water 1/T (K -1) ln (Pvapor) .00283 -.799 .00286 -.941 .00288 -1.050 .00291 -1.204 .00293 -1.309 .00296 -1.470 .00298 -1.609 .00301 -1.772 .00304 -1.897 .00307 -2.040 .00310 -2.207 Step 5 left click on the top left cell, while holding the mouse button down move the mouse over the bottom right cell and release the mouse button. The data table should now be outlined with a heavy black line and should have a gray background to show it has been selected. Step 6 left click on the Insert tab Step 7 left click on ‘Scatter’ in the charts section Step 8 left click on the top left chart sub-type (this one shows only data points no lines) A plot of your data will now appear and the format of the buttons at the top of the screen will revert to the default Excel buttons. While you have a workable plot you need to clean up the plot and add important features like titles for the plot and the axes 200 Step 9 left click anywhere in the plot. Note of the buttons at the top of the screen change as Excel shifts to ‘Chart Tools’ mode Step 10 left click on the Layout Tab left click on the Chart Title icon in the Labels section left click on the ‘Above Chart’ icon There will no be a text box on your chart that says ‘Chart Title’ Left click in the box and replace the words ‘Chart Title’ with Enthalpy of Vaporization for Water Step 11 left click on the Axis Titles button under the Layout tab Under Primary Horizontal Axis Title Click ‘Title Below Axis’ and replace the text ‘Axis Title’ with 1/T in K-1, Step 12 In a similar manner label the Y axis Natural log of Vapor Pressure. Step 13 left click on the gridlines icon in the Axes section Set both Primary Horizontal Gridlines and Primary Vertical Gridlines to Major & Minor Gridlines (gridlines make it very easy to read values off your graph.) Step 14 left click on the Legend icon in the Labels section and select ‘None’ to remove the legend. (In Exercise II you will need to display legends) Step 15 left click on some white space on your graph, and move it to a good spot on your Excel spreadsheet so you can print out the data and the graph on a single piece of paper. For Exercise I drag it down below the data in columns A & B and place the graphs left edge on the left margin of the sheet. Step 16 left click and hold on the lower right corner (you should get a double ended diagonal arrow) and drag the corner out and down to fill up the page with the graph. To preview the page select the sheet by left clicking on the shaded cell to the left of the A column label then select File and print preview. (If you don’t select the sheet the preview will only show you the graph, not your data table or header.) If you are happy with the placement of the graph on the sheet, close window to return to chart. Now your graph is pretty well set up and all that is left is fine tuning to make it easier to read values from Finishing up the graph 201 To set X and Y axis scales place mouse pointer on the Y axis of graph right click and select format axis, for Exercise I find the maximum row, click on the ‘fixed’ button and set the maximum to -.5. Next adjust the X axis. The scale here is OK, but let’s move the numbers above the grid. Place the mouse on the X axis of the graph and right click and select format axis. In the axis options box change axis labels: to ‘High’. Depending on the size of your plot you may want to change the format of the number (under Format Axis - Number option) or the size of the font (Window that comes up when you first right click on the axis) To adjust placing of graph title or axis labels left click on the area of interest < to move area left click and hold while you drag area to where you want it. < to correct spelling or add text left click in the text to be changed to drop the text cursor < to change font size right click to get into the format window If you need to have a line of best fit plotted place mouse pointer on one of the data points on graph right click left click on Add trendline In the Trendline Options Window Click on the ‘Linear’ button select display equation on chart box left click on CLOSE (This will plot the best fit line on your graph and print the equation for the line on the graph. The equation for a line is y=mx+b, where y and x are the axis values, m is the slope and b is the yintercept.) To Print Your Spreadsheet < select the spreadsheet by left clicking in the shaded cell to the left of the cell labeled A (if you don’t select the whole sheet it will only print your chart) < left click on the Windows Office icon in the upper left hand corner < move your mouse over the print icon, and then click on Print Preview < if preview is what you want left click on print 202 Names Section Report Sheet Excel Graphing Exercise I A. What is the equation for the trendline for the Enthalpy of Vaporization data? ____________________________ B. What is the slope of this line? __________ Staple a copy of your graph for Exercise I to this report sheet. 203 Exercise II. Accurately reading the freezing point of a solution from the graphed cooling curve data is more difficult than reading the freezing point of a pure solvent from its cooling curve graph. The pure solvent is easy as once it starts to freeze the temperature stays the same, levels off, and you can read the freezing temperature directly from the y axis. Whereas the cooling curve for a solution continues to drop as the solution freezes, due to the solute being more concentrated in the remaining liquid. So to find the “true” freezing point of a solution you need to plot the best fit line for the data points above where freezing begins, and a second best fit line for data points after freezing begins. You can use trendlines to fit your lines, but you still need to select the data points you use for the lines from all the data you gather with your cooling curve. This means you need to visually assess where the most linear portion of your above freezing data is and the most linear portion from the below freezing area, as there will be some data in the middle where the data is curving as it transitions from one slope before freezing starts to a second slope after freezing starts. Below you will find a table of data from a cooling curve for a solution of cyclohexane which contains 0.199 g of a solute. Using Excel and chart wizard set up a spread sheet with a data table and start to graph this cooling curve just like the one you did in exercise I. But once you reach Step 8 , the initial graph of the data, we will do a few things differently. Go to the top of the next page to see detailed instructions. Data for Freezing Point of Cyclohexane with 0.199g of a solute added to it time (sec) Temp degrees C 0 15.0 15 12.8 30 11.1 45 9.5 60 8.4 75 7.3 90 6.6 105 5.9 120 5.3 135 4.9 150 4.6 165 4.4 180 4.3 195 4.4 210 4.4 225 4.1 255 3.8 270 3.8 285 3.8 300 3.7 315 3.7 330 3.7 345 3.5 360 3.5 204 Once you have reached Step 8 you should have a window containing the initial graph of all the cooling curve points plotted as, series 1. What you will need to do now is visually decide which data points to use for the two lines you need to calculate freezing point of a solution. It looks like the first six data points will work for the above freezing line and the last nine for the below freezing line. To enter a series of data for the above freezing line: click on the Select Data icon in the Data section of the Design Tab: click the Edit button on the left half of the Select Data Source Window Change the Series name to Full Cooling Curve Hit the OK button click the Add button on the left half of the Select Data Source Window Click in the Series Name and make the name of this series “Above Freezing” Click in the Series X value box - then click and drag the mouse over the first six X values in the data table Click in the Series V value box - delete the “={1}” then click and drag the mouse over the first six Y values in the data table Hit the OK button click the Add button on the left half of the Select Data Source Window Click in the Series Name and make the name of this series “Below Freezing” Click in the Series X value box - then click & drag on the last nine X values in the data table Click in the Series V value box - delete the “={1}” then click & drag on the last Y values in the data table Hit the OK button Click on the OK button - The Select Data Source window will disappear you your graph should appear with your three different regions defined in different symbols and colors Now that you have your data series all entered you can continue on with Step 9 and finish the graph. Once the graph is dropped onto you spreadsheet then you can right click on a data series point to put in a trendline and line equation, for the above freezing series and another one for the below freezing series. And at the same time you can change colors of the data points if you need to. Remember to set up the scale and gridlines so that you can read Temperature to tenths of a degree on the y-axis. (Minor gridlines at 0.5 will be fine for this.) 205 Names Section Report Sheet Excel Graphing Exercise II A. Equation for trendline above freezing Slope of line Y-intercept B. Equation for trendline below freezing Slope of line Y-intercept C. Calculate the Freezing Point of this solution two ways 1. By extending the trendlines and the point at which they intersect will give the freezing point Freezing Point from graph 2. By mathematically setting the line equations equal to each other solving for x, then plugging that x value back into one of the line equations to get the freezing point temperature, the y value. (Show calculation on back of report sheet) Freezing Point by calculation Staple a copy of your graph for Exercise II to this report sheet. 206 Constants Avogadro's number Boltzmann constant Faraday constant Gas constant N k F R Plank's Constant Speed of light h c 6.022×1023 mol-1 1.38066×l0-23J/K 96,485 C/mol 8.31451 J/K@mol 0.08206 L@atm/K@mol 6.62608×l0-34 J@s 2.99792458×l08m/s Conversion Factors Length 1 meter = 1.0936 yards 1 centimeter = 0.3937 inch 1 inch = 2.54 centimeters (exactly) 1 kilometer = .62137 mile 1 mile = 5280 feet Volume 1 liter = 1.0567 quarts 1 gallon = 4 quarts 1 quart = 32 fluid ounces Energy 1 joule = 1 kg@m2/s2 = .23901 calorie 1L@atm= 101.3 Joule Mass 1 kilogram = 2.2046 pounds 1 pound = 16 ounces 1 ton = 2000 pounds 1 metric ton = 1000 kg Pressure 1 pascal = 1 N/m2 = 1 kg/(m@s2) l atm = 101.325 kPa = 760 torr = 14.7 1bs/in2 1 bar = 105 Pa 207