A Appendix Instrument Instructions Operation of the Analytical Balances In measuring the mass of a sample, it is important to protect the original materials (reagents) from contamination. Therefore, dispense only the amount you need to use; if you should take too much, then you should discard the excess in a proper manner. Never return the excess to the reagent bottle. An electronic analytical balance must be zeroed before all measurements. To do this, remove any objects from the balance pan and close all of the windows on the draft shield, then gently press the TARE button. After a moment, the display should change to a reading of zero grams (0.0000 g). Place the sample on to the balance pan, close all of the windows on the draft shield, wait for the balance to stabilize, and record the mass. It will take several seconds for the balance to reach a stable measurement. When finished, remove the sample, close all of the balance windows, and re-zero the balance. Also remove any spilled reagents from the balance to prevent corrosion or contamination of the balance. It is very tempting to use the TARE button to make the mass of a weighing paper or vessel equal to zero grams in order to simplify calculations. However, this is a bad habit in this laboratory because many people will use the same balance. Instead, always zero the balance before weighing the paper or vessel. Then record the absolute mass of the paper or vessel. Subtract this mass from the mass of the paper + sample to obtain the mass of the sample. This method is referred to as weighing by difference. There are many cases in this laboratory when you will be instructed to use a mass of reagent that is close to some value, for example 0.1 g of zinc. This means that any value within 10% of the indicated mass will be sufficient. Don’t spend a large amount of time trying to get exactly 0.1000 g of zinc unless the instructions specifically ask for that level of precision (look at the number of significant digits). However, it is still important to know the precise mass of what you do use. Thus, all masses should be recorded to four decimal places (to the nearest 0.0001 g). Due to the great sensitivity of the analytical balance there are many potential sources of weighing error. The effects of wind current on the balance reading can be eliminated by closing the draft shields as discussed above. Heated objects must be allowed to return to room temperature before weighing. A warm object in the balance will create convection currents that will cause the reading to fluctuate. Lastly, handling an object with bare hands leaves fingerprints behind. The balance is sensitive enough to detect the small increase in mass from the fingerprint residue. To avoid this problem, use a strip of paper or crucible tongs to handle objects that must be reweighed. Operation of the Spectronic Genesys 10 BASIC OPERATION 1. Turn on the Spectronic Genesys 10 (switch is in the back). Allow 30 minutes to warm up. 2. Make sure the outside of the cuvettes are wiped dry and clean of any fingerprints before placing them in the instrument. 3. Press the button marked SET NM to set the wavelength. 4. Enter the wavelength using the numeric keypad. Press the button marked SET complete the entry. NM again to 5. Insert a cuvette containing the blank into the sample holder in the well marked B. The clear faces of the cuvette must face the light path of the instrument. Check that the clear faces are against the sides of the cuvette well that have holes in them. The grooved or frosted faces should be against the solid walls of the well. 6. Fill a cuvette with the sample or standard. Insert it into one of the other sample holder wells. If you have several samples or standards, place them in the other wells. Check the orientation of the cuvettes so that the light will pass through the clear faces. 7. Close sample cover and press the MEASURE BLANK button. This sets the absorbance to zero. 8. To measure the absorbance of the samples and standards, press the corresponding cell-position button on the keypad (see figure above). When the button of a cell is pressed, that cuvette is moved to the measuring position and the absorbance appears on the display. THEORY OF ABSORPTION MEASUREMENTS There are two properties of light which are of interest in absorptimetry. One is the quality or type, which is expressed as the wavelength (λ) or frequency (ν); the second is the quantity or amount, which is referred to as its intensity. The first property determines the kind of matter with which the light will interact. The second allows us to make quantitative measurements about the interaction of light and matter, such as by comparing the intensity of light transmitted through a sample to the intensity with which the sample was illuminated. In considering the first of these properties it is initially useful to view the quality of light in terms of frequency (ν) in units of cycles per second. The energy content of light can be described in terms of its frequency by the equation E=hν , where h=Plank’s constant, 6.63×10-34 J•s. The energy of a beam of light can be regarded as being divided into discrete units, or quanta, called photons. According to quantum theory, radiation is absorbed by matter only when the energy content of the photon corresponds to some energy requirement of the matter with which it comes in contact. Light is absorbed when its energy is equal to that needed to excite a vibration, rotation, or electronic transition in the atoms and molecules of the illuminated matter. Recognizing that the frequency and wavelength of light are related through the speed of light: c = λν, where c is 2.998×108 m/s. The quality of light can be expressed equally as the frequency or wavelength. When working in the visible and ultraviolet portion of the spectrum, it is customary to express the type of light as wavelength in units of nanometers (nm). Thus, you will see wavelength used throughout this manual and on the spectrophotometers in the laboratory. Quantitative measurements of light are described by a few simple physical laws that allow us to express the extent to which the intensity of light is decreased upon passing through a sample. The effects of the thickness and concentration of a solution upon the intensity of light passing through it are intuitive to anyone who has estimated the strength of a cup of coffee by looking at how far in to the cup one can see. Two laws, and their corresponding mathematical expressions, can be used to describe the phenomena that permit quantitative measurements of light absorption. The first law expresses the relationship between the thickness of an absorbing substance and the fraction of incident light that will be absorbed. 1 This law states that if P0 is the radiant power (i.e., intensity) of light incident upon a sample of thickness b, the radiant power (P) of light transmitted by the sample is given by the equation log P k1b P0 where b is in cm and k1 is and constant that depends on the concentration, identity of the absorbing material, etc. Notice that this equation does not include a term for the concentration, so it is not quite ready to be used for quantitative absorptimetry. 1 This law was first formulated by Bouguer in 1729 and restated by Lambert in 1768. The second law 2 relates the intensities of light incident upon and transmitted through a solution of fixed thickness to the concentration of the solution: log P k 2 c P0 where k2 is another numerical constant and c is the concentration of the solution. Combining these two equations gives a single expression that relates the intensity of light to both the thickness of the solution and its concentration. This expression is commonly known as the BeerLambert Law: log P abc P0 which is the fundamental equation of quantitative absorptimetry. The terms used to write the BeerLambert law shown in the above equation are not necessarily the most convenient or practical for making measurements. The symbol b represents the pathlength or thickness of the absorbing sample and is always expressed in centimeters. The concentration of the sample is given by c. The quantity a is a constant whose value depends on the identity of the absorbing species, the wavelength of light, temperature, and so on. When c is expressed in molarity (moles per liter), the value of a is called the molar absorptivity and represented by ε. The ratio of the transmitted and incident radiant power may be expressed in two different ways. The first is transmittance, T, where T P P0 The second is known as absorbance, A, where A log T or A log P P0 This last equation allows us to write the Beer-Lambert Law in a most useful form: A bc Unlike the prior expression, here the absorbance is directly proportional to the concentration of the absorbing species. In this equation the molar absorptivity is used indicating that the concentration is in molarity. The molar absorptivity is then equal to the absorbance of a 1 cm thick sample of 1 M solution. 2 The second law was formulated independently by Beer and Bernard in 1852, although is typically attributed to Beer. PRACTICAL ABSORPTION MEASUREMENTS A spectrophotometer for use in the visible region of the spectrum is a simple instrument. Figure A-1 is a block diagram of a spectrometer similar in design to the Spectronic Genesys 10 that will be used in this course. It is called a single-beam spectrophotometer because only one beam of light goes through the instrument. Spectrophotometers with more complex optical systems are also in widespread use. Figure A-1: Simple single-beam spectrophotometer. Courtesy of Professor emeritus Stephen Brewer, Department of Chemistry, Eastern Michigan University. Any spectrophotometer consists of five basic parts: light source, wavelength dispersion device, sample cell, detector, and transducer. In the instrument that we will use, the light source is a tungsten light bulb regulated so that it emits light of constant intensity over the visible spectrum. As in most modern spectrophotometers, a monochromator containing a diffraction grating is the wavelength dispersion device. The diffraction grating spreads the component wavelengths of light spatially so that by placing a narrow slit in one portion of the dispersed spectrum, a small band of wavelengths may be selected. Typically, the band is 10 to 20 nanometers wide which closely approximates monochromatic light. This narrow band of light with a radiant power P0 then impinges upon the sample cell. The cell that we will use is a square cuvette with flat sides. Light of radiant intensity P emerges from the cell. This transmitted light is detected by a photoelectric device which emits a current proportional to the radiant power striking it. The final part of the instrument is the transducer. Simply, the transducer converts the detector current into a voltage, then into a form that we can read (e.g., displacement of a needle, digital numeric display, etc.) In practical measurements it is exceedingly difficult to simultaneously measure the quantities P0 and P. Consequently, two measurements are usually made: one for the sample to quantify the transmitted radiant power (P) and a second for the blank to quantify the incident radiant power (P0). A blank contains all the sample constituents except the analyte (i.e., the substance whose absorbance is being measured). The handling of the blank and sample should be as similar as possible: same reagents, same type of cuvette, same preparation, etc. Prepared in this way, a blank may be used to remove any contribution to the absorbance that the cuvette or other reagents may have, such that the absorbance of the blank is defined as A=0. It is often the case that there is more than one absorbing species in a sample. Fortunately, the Beer-Lambert Law is additive for multiple species. That is to say, the total absorbance of two or more absorbing species is the sum of the individual absorbances: Atotal A1 A2 A3 An Atotal 1bc1 2bc 2 n bc n If the individual absorptivities (ε) of the various species can be determined, it is often possible to calculate the concentration of each species in the mixture. Operation of the Thermo Orion pH Meter CALIBRATION Calibration must be performed once per day before using the meter for any measurements. 1. Check that the pH electrode is connected to the meter and the meter is on. Press the button if the meter is off. POWER 2. Check that the meter is in pH mode (a ▼ will point to pH at the bottom of the display). Press the MODE button if it is not. 3. If the meter has been recently calibrated, skip to step 15. If the meter has not been calibrated, proceed with step 4. 4. Remove the glass electrode from the storage solution and rinse the end of it with distilled water. Gently blot the electrode dry with a Kim-wipe. 5. Place the electrode in the pH 7 buffer. The buffer should be gently stirred. 6. Press the 2ND then CAL buttons to enter the calibration mode. The date and time of the last calibration will be displayed briefly, and then the meter will display the pH. Wait for the measurement to stabilize. 7. When READY is displayed next to the reading it will begin to flash and the meter will beep. Press YES to accept the first calibration point. (The meter will automatically switch to buffer two as indicated by P2 on the display.) 8. Remove the pH electrode from the buffer. Rinse the electrode with distilled water and gently blot dry with a Kim-wipe. 9. Place the electrode in the pH 4 buffer and wait for the measurement to stabilize. 10. When READY is displayed next to the reading it will begin to flash and the meter will beep. Press YES to accept the second calibration point. (The meter will automatically switch to buffer two as indicated by P3 on the display.) 11. Remove the pH electrode from the buffer. Rinse the electrode with distilled water and gently blot dry with a Kim-wipe. 12. Place the electrode in the pH 10 buffer and wait for the measurement to stabilize. 13. When READY is displayed next to the reading it will begin to flash and the meter will beep. Press YES to accept the third calibration point. 14. The meter will automatically switch to measure mode. 15. Remove the pH meter from the buffer. Rinse the electrode with distilled water and gently blot dry with a Kim-wipe. The pH meter is now prepared to make measurements. MEASUREMENT To make a pH measurement, place the electrode in the sample solution so that the bulb of the glass electrode is immersed. Gently stir the solution. The pH meter will continuously read the pH. When finished with the pH meter, always rinse the electrode and replace it into the storage solution. Operation of the Orion 720Aplus Meter CHLORIDE DETERMINATI ON 1. Check that the electrodes are properly connected. Plug the chloride/reference combination electrode into Input 1. Connect the temperature probe to the ATC/DIN plug. 2. Make sure the meter is on, if not plug it in. 3. Remove the electrodes from the storage solution. Rinse the electrodes with distilled water and gently blot dry with a Kim-wipe. 4. If the meter has been recently calibrated, skip to step 16. If the meter needs to be calibrated, press mode until the concentration mode indicator CON appears on the display. 5. Press calibrate. CALIBRATE will be displayed as well as the time and date of the last calibration. 6. When ENTER NO. STDS prompt appears, enter the number of standards to be used, 2, and then press yes. 7. Immerse the electrodes in the 10.0 mM chloride standard. 8. Briefly swirl the beaker to mix, but do not stir or mix during the measurement. 9. When the READY ENTER VALUE prompt appears, enter the concentration, 10.0, and press yes. 10. Remove the electrodes from the solution, rinse electrodes, and blot dry with a Kim-wipe. 11. Immerse in 25.0 mM standard and briefly swirl. 12. When the READY ENTER VALUE prompt appears, enter the concentration, 25.0, and press yes. 13. The electrode slope is calculated and displayed. 14. Meter advances to MEASURE mode. 15. Rinse electrodes and blot dry with a Kim-wipe. 16. Immerse the electrodes in the sample solution, and briefly swirl the solution, but do not stir during the measurement, be sure the electrode is immersed in the solution. 17. Wait for the system to equilibrate; MEAS will appear on the screen while the system is equilibrating, when the system is stable and ready it will display RDY. The system displays the concentration of chloride in millimolar, mM. 18. Rinse electrodes and gently blot dry with a Kim-wipe. 19. Repeat for the other 3 samples. 20. After the last measurement, rinse the electrodes and return them to the electrode storage solution. THEORY OF ELECTRODE MEASUREMENTS Since the 1920s it was known that a potential or voltage could be developed across a glass membrane if the solutions on either side of it had different hydrogen ion concentrations. Advances in electronic instrumentation soon made it possible to exploit that potential to make measurements of hydrogen ion concentrations or pH. The glass electrode was the first of the ion-selective electrodes. Generally, ion-selective electrodes are devices that respond to concentration changes in one species of ion (such as chloride or hydronium), with little interference from other species in the solution. To understand the functioning of a pH or other ion-selective electrode, it is necessary to look at some basic principles of electronics. It is essential to appreciate that any electrometric measurement determines the potential difference between two points. The potential of a single point is not experimentally measurable without the use of a reference point. That is to say, measurements of potential are always relative to some standard. The requirements for measuring a potential indicate that two electrodes will be needed to make a pH measurement. The first of these is a glass electrode. The thin glass bulb typically contains a solution of Ag/AgCl and is connected to the meter by a silver wire. The reference electrode often also contains a silver/silver chloride electrode immersed in a solution of KCl. Unlike the glass electrode, the reference must be in direct ionic contact with the solution being measured. This is accomplished by allowing a very slow leakage of the KCl solution into the test solution. The pH electrode used in this laboratory contains both the glass and reference electrode in one body. Similarly, the chloride electrode is composed of a reference electrode and an electrode sensitive to the presence of chloride. The potential registered by a pH meter is the sum of all of the potentials in the circuit. E=Eº´ref + Ej – Eglass Since the reference potential (Eº´ref) and junction 3 potential (Ej) are constant, the measured potential is dependent only on changes in the potential at the glass electrode. At 25ºC , Eglass = Eºglass + 0.059 log aH where aH is the activity of hydrogen ions, which is a function of concentration. Remembering that –log[H+]=pH, it can be stated Eglass=constant + 0.059 pH Thus, the relationship of measured potential to pH is linear. This linear relationship is one reason why the pH scale has remained in use and why the pH meter is nearly ubiquitous in chemistry laboratories. 3 The junction potential is actually composed of the sum of all of the small potentials that occur at the interface of two different materials, such as the junction between the silver wire and solution within the electrode or even at a point where two types of wire are joined.