GISAT 112 Lab EXPLORING GAS BEHAVIOR There are three parts to this lab. Their objectives are: A. Measuring a breath of air: design and conduct an experiment using simple equipment to obtain an estimate of an environmental parameter (the typical volume of air breathed by an adult human in a 24-hour period). B. Weighing air and graphing data: conduct a simple laboratory experiment (mass of air vs. pressure in a constant-volume container) and plot the data, using good graphing techniques. C. Investigating ideal gas behavior: develop a hypothesis regarding ideal gas behavior, design and conduct an experiment to test this hypothesis, and then evaluate the experiment for possible sources of error. A. MEASURING A BREATH OF AIR [Adapted from Chemistry in Context, 4th Edition, 1.1 Consider This: Taking a Breath] In this portion of the lab you will design and execute simple experiments to estimate the volume of air you inhale in a typical day. You will measure how much air you inhale in a typical breath and how many breaths you typically take in a minute, and then estimate how much air you inhale in a day (24 hours). Work in teams of 3-4 students. You may use any of the equipment available in the lab. You may find it helpful to complete the work sheet below (or in a lab notebook), to record and organize information that will be in your write-up for this lab. Names of Team Members: 1. Describe your experimental design: 2. Determine how many breaths you take in a typical minute and record the answer here: 3. Record the measured volume of air you breathed in a typical breath: 4. Using your answers to steps 2 and 3, estimate how much air you inhale in 24 hours: Page 1 of 7 GISAT 112 Lab Questions to be Discussed in Lab Report (see “Reporting Requirement”, page 5) 1. What factors (variables) could have affected your answers to steps 2 and 3? 2. The inhaled volume/day that you determined experimentally may not fall into the typical range given by your instructor. Discuss the 2 or 3 most likely sources of error in your experiment. B. WEIGHING AIR AND GRAPHING DATA [Adapted from Chemistry in Context Laboratory Manual, 4th edition] Introduction Graphs provide an important and very useful way to present data in most disciplines. Graphs summarize the numerical data efficiently and are usually easier to understand and interpret than columns of numbers. Graphs are used frequently in your Chemistry in Context textbook. In this assignment, you will collect some experimental data that lends itself to presentation in graphical form. You will then learn how to construct graphs in ways to make the visual presentations most effective. [Refer to the section on graphing data at the end of this lab description.] Overview of the Experiment 1. Pump air into a 2-liter bottle to about 40 pounds per square inch pressure. 2. Weigh the bottle and measure the pressure in the bottle. Record your data. 3. Release some of the air; measure the pressure and weigh the bottle again. Record your data. 4. Repeat step 3 several times until all of the air pressure has been released, recording your data after each step. 5. Graph the data (this is also referred to as “plotting” the data). Use a pencil for this step, because it is easy to make mistakes. Make small dots, and then draw small circles around them so that they show up clearly. 6. Using a straight edge (preferably transparent), draw the “best” straight line through the data points. This step requires some judgement. If the points are somewhat scattered, there should be equal numbers of them on either side of the line. 7. If specified by your instructor, calculate the slope of the line. To do this accurately, select two points on the line near the ends of the line. Carefully read off the x and y values for each. If you are unsure how to calculate the slope, refer to the “background” section on graphing at the end of this lab description. Materials 1. 2. 3. 4. 2-liter plastic soda bottle with a tire valve in the cap Tire pressure gauge Hand bicycle pump Pan balance with 0.01 g accuracy Page 2 of 7 GISAT 112 Lab Experimental Procedure 1. Your instructor will explain use of the balances in your laboratory. When using an electronic-type balance, it is important to make sure the balance reads zero when empty (usually accomplished by pressing a “zero” or “tare” button). It is a good idea to recheck the zero each time you use the balance. For this experiment, you will need to make measurements to the nearest 1/100 of a gram (0.01 g). If your scale is more sensitive (0.001 g), record all digits. 2. Make sure the cap is tightly on the bottle, and then pump some air into it with the bicycle pump (do not exceed 40 psi). Have each member of the team practice using the pressure gauge. You need to be able to push the gauge on squarely without letting out much air, and you need to know how to read the pressure units. The pressure scale will probably be marked in pounds per square inch (“psi”). * 3. Pump up the pressure in the bottle to about 40 psi. 4. Weigh the bottle and record the mass to the nearest 0.01 gram. 5. Wait 5 minutes and re-weigh the bottle. If the mass has not changed, the cap is sealed tightly and the experiment can be started. If the mass has decreased by more than 0.05 g from the reading in step 4, tighten the cap and repeat steps 3-5. 6. With the bottle at about 40 psi, let a small amount of air out of the bottle. Measure and record the pressure again, then re-weigh and record the mass. 7. Repeat step 6 until you have obtained at least five sets of pressures and masses between your highest reading and 10 psi. 8. Let all of the air out (so that the gauge pressure is 0) and re-weigh. (Of course, the bottle is not really empty. It now has the same air pressure as the surrounding air, or about 14.7 psi.) 9. Optional: If time permits and you are interested, you might repeat the study. (In scientific studies, the measurement technique often improves with repeated experiments.) * Note: the gauge is measuring pressure above the current atmospheric pressure. This is referred to as “gauge pressure”. Absolute pressure, as used in the Ideal Gas Law, is the sum of atmospheric pressure and gauge pressure. Questions to be Discussed in the Lab Report 1. For the graph of mass versus pressure, which do you think was more reliable, the data for the mass or the data for the pressure? Explain you answer. Make a general estimate of the probable uncertainties in each of your mass and pressure measurements. To do this, think about the measuring device and how you used it. Page 3 of 7 GISAT 112 Lab C. INVESTIGATING IDEAL GAS BEHAVIOR In this part of the lab you will investigate relationships between two properties of a gas. Gases are unique among forms of matter in that their behavior can be generalized. The relationship between variables such as temperature, pressure, volume, and number of molecules (or “moles”) is almost the same no matter which gas you are measuring. Most gases in the environment behave according to the Ideal Gas Law: PV = nRT Where P = absolute pressure (e.g., in atmospheres) V = volume (e.g., in liters) n = amount of gas (in moles) R = the universal gas constant (in units consistent with the units of P, V, n, and T) [e.g., R = 0.082 L·atm/K·mole] T = absolute temperature (e.g., K) This law has direct application to your experiments in this lab. For example, for a given amount of gas (constant n) in a container held at a specific temperature (constant T): nRT = constant, so PV = constant. Therefore, if P is changed from P1 to P2, V must change so that: P1V1 = P2V2 at fixed n, T (History note: this is a statement of Boyle’s Law) Similarly, if P and n are constant, V/T = constant, so: V1/T1 = V2/T2 at fixed n, P (Charles’ Law) Finally, if V and n are constant, P/T = constant, so: P1/T1 = P2/T2 at fixed n, V (Gay-Lussac’s Law) There are several such relationships that could be investigated in this lab. You will need to select one of them in step 1 of the method described below. You and your teammates are to investigate the relationship between two of the following variables: pressure, volume, or temperature for a gas of your choice. You must design an experiment to study the relationship, obtain data for at least 3 values of the independent variable, and describe your investigations and results in your lab write-up. One hint to get you started: Since these variables are interrelated, it is important to control the variables you are not studying! Materials: You may use anything your instructor provides that you feel will help you solve the problem. A partial list of possibilities: Thermometer Balloons Rubber bands Plastic food storage bags Ziploc food storage bags Straws Graduated cylinders Pressure gauge Dishpans Rubber tubing Meter stick Glass tubing Two-liter plastic bottles with valve stems Page 4 of 7 GISAT 112 Lab Experimental Procedure: Work in teams of 3 - 4 students. 1. Identify the relationship you will investigate. Before going any further, you should make a hypothesis about the type of model you expect to find: linear, exponential, etc. The hypothesis should be stated as a simple declarative sentence such as: "There is a linear positive relationship between the mass of a gas and the pressure it exerts in a closed system." 2. Develop a plan for testing your hypothesis. On the worksheet provided, describe the experimental design in enough detail that another team of students could follow it. Explain how the factors you are not studying will be controlled. 3. Carry out the plan. Gather all data that you consider necessary to answering your question. Keep a record of all the data you collect. Keep in mind that the best results require repetition. You should try to repeat your measurements at least twice (i.e., make three sets of measurements). A blank data table is provided for recording your measurements, but use another format if you prefer. Be sure to enter the units of your measurements, and note which variables were held constant. Blank graph paper is also provided, for plotting your results. Questions to be Discussed in the Lab Report 1. State the two variables you chose to investigate, your hypothesis about the relationship between them, and describe your experimental design. Do your data support your hypothesis? 2. Discuss the 2-3 most likely sources of error in your experiment. 3. Extra credit: Plot your data with Excel, select a trend line curve to represent your data, show the correlation coefficient (R2) on the plot, and discuss how well your data fit the curve, based on the value of R2. Reporting Requirement After class, prepare a report as a Word document (attach the Excel plot if you do the extra credit). This report will not be considered a full lab report, so it is not necessary to follow the guidelines for laboratory reports. The report should show the names of team members and the title of the lab, followed by a section on Measuring a Breath of Air, a section on Weighing Air and Graphing, and a section on Investigating Ideal Gas Behavior. Each of these sections should include at least one paragraph on experimental approach (or design), data obtained (or results), and discussion. Submit either a hard (paper) copy, or an electronic file via the Blackboard digital drop box (your instructor will advise). This report is due by the beginning of next week’s lab. Page 5 of 7 GISAT 112 Lab Investigating Ideal Gas Behavior Experimental Design: Run No. Pressure ( Volume ) ( ) Page 6 of 7 Temperature (C) Notes GISAT 112 Lab Exploring Gas Behavior 5 4 3 2 1 0 0 0.2 0.4 0.6 Page 7 of 7 0.8 1 1.2