Chem 321 D. Miller 1. Name Answer Key An electrochemical cell was constructed by placing a KClsaturated Ag/AgCl reference electrode (with salt bridge) and a platinum wire into a solution containing Fe 2+(aq) and Fe3+(aq) and connecting the two electrodes with appropriate wiring. a) Which electrode is the anode in a galvanic cell (one that has a spontaneous cell reaction). Explain your choice. (5) Ecell is positive for a spontaneous cell redox reaction. The only way to combine the half-cell reactions associated with the electrodes above and obtain a positive Ecell is to make the reference electrode the anode (Ag(s) + Cl-(aq) X AgCl(s) + e-, EE = -0.197 V) and the other electrode (Fe3+(aq) + e- X Fe2+ (aq), EE = 0.771 V) the cathode. c) If the voltage (E) for this cell is 0.363 V, use activities to determine the Fe2+/Fe3+ ratio in the solution. Assume the ionic strength has been fixed at 0.050 M and that the activity coefficient of Fe2+ is twice as large as that for Fe3+. (8) Ecell = 0.363 V = Eox + Ered since the anode potential is fixed ( Eox = -0.197 V), Ered = 0.363 V - (-0.197 V) = 0.560 V cathode: Fe3+(aq) + e- X Fe2+ (aq) rearranging gives and 1.845 x 103 Chem 321 D. Miller 2. (2) Name Answer Key What is the meaning of the molar absorptivity of a substance? Molar absorptivity (ε) is a measure of how strongly a substance absorbs light at a specific wavelength. A solution containing 1.00 mg of iron as the thiocyanate complex in 100. mL was found to transmit 70.0% of the incident light compared to an appropriate blank. a) What is the absorbance of the solution at this wavelength? (2) 0.155 b) What fraction of light would be transmitted by a solution of this iron complex that is four times as concentrated? (3) If the solution concentration increases by a factor of 4 then the absorbance will also increase by a factor of four. A = 4(0.155) = 0.620 24.0% %T = 0.240 x 100 = 24.0% The visible absorption spectrum for the iron-phenanthroline complex Fe(phen)32+ in aqueous solution is shown on the DATA SHEET. A wavelength around 510 nm was used for the absorbance measurements in lab. Indicate 2 reasons why this wavelength is more suitable to use than 550 nm? Be specific. (6) 1. One of the limitations of Beer’s law is that the linear relationship between absorbance and concentration holds only if the molar absorptivity does not vary significantly over the narrow band of wavelengths passing through the monochromator. This requirement is met at the broad maximum of the absorption band, but not at a wavelength along the steep sides of the absorption band. 2. Using a wavelength at the absorption peak maximum increases the sensitivity of the absorbance measurements (larger signal for a given concentration). How does the absorption spectrum for iron atoms in the gas phase compare to this iron-phenanthroline absorption spectrum? Explain. (5) Iron atoms in the gas phase absorb at a series of discrete wavelengths and have very narrow absorption peaks because the gas-phase atoms are not associated with the many closely-spaced vibrational energy levels or energy level distortions in solution that are found for polyatomic species in solution. What is the radiation source typically employed in: (3 ea) atomic absorption spectrophotometers - hollow cathode lamp visible light spectrophotometers - tungsten lamp What type of detector is commonly used in UV/VIS and AA spectrophotometers? (3) photomultiplier tube Chem 321 D. Miller 3. Name Answer Key Briefly explain how plate height is an indicator of how efficient a column is in separating components. (4) Since it is a measure of band broadening as a component moves through the column. A successful separation is achieved if this band broadening is small compared to the separation of the different component bands. Thus, a smaller value of H indicates a more efficient column. On a particular GC column dodecane (C 12H26) has a retention time of 7.12 minutes at an oven temperature of 115EC. How will the retention time for dodecane change if the column temperature is set to 90EC? Explain why this change occurs. (5) If the column temperature is lowered dodecane will move through the column more slowly and have a longer retention time. It takes longer for the elution to occur because the vapor pressure of dodecane is reduced at the lower temperature and dodecane spends more time in the stationary phase and less time in the mobile gas phase. Why is an internal standard usually added to samples for quantitative GC measurements? (4) An internal standard is used to compensate for variations in the amount of sample injected into the gas chromatograph for each run. The volume of sample drawn up and injected by a typical GC syringe is not very reproducible. Describe the composition of the stationary phase in our HPLC experiment. (3) The nonpolar stationary phase consists of 18-carbon chain molecules covalently bonded to the surface of small particles of silica. Caffeine elutes at 1.30 min for our particular reversed-phase column and a mobile phase consisting of 55% methanol and 45% water. How will the retention time for caffeine change if a mobile phase made of 40% methanol and 60% water is used? Explain why this change occurs. (5) If the mobile phase water content is increased from 45% to 60%, the mobile phase is becoming more polar and less like the stationary phase. Thus, it cannot compete for the caffeine as effectively so the caffeine migrates through the column more slowly and its retention time will increase. Chem 321 D. Miller 4. Answer Key Name Phosphorus in urine can be determined by treating with molybdenum(VI) and then reducing the phosphomolybdo complex with aminoaphtholsulfonic acid to give the characteristic molybdenum blue color. This absorbs at 690 nm. Assume a patient excretes 1270 mL urine in 24 hours. A 1.00-mL aliquot of the urine was treated with molybdate reagent and aminoaphtholsulfonic acid and was diluted to a volume of 50.0 mL. A series of phosphate standards was similarly treated. The absorbance of the solutions at 690 nm, measured against a blank, were as follows. Solution Absorbance 1.00 ppm P 0.205 2.00 ppm P 0.410 3.00 ppm P 0.615 4.00 ppm P 0.820 urine sample 0.684 Calculate the number of grams of phosphorus excreted by the patient per day. (10) Note that the absorbance increases linearly with concentration (Beer’s law holds). Therefore, Using the standard with the closest absorbance reading gives Cunk = (3.00 ppm)(0.684)/(0.615) = 3.34 ppm P in urine 0.212 g
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