Chemistry 105 B Exam 3 First Letter of last Name PLEASE PRINT YOUR NAME IN BLOCK LETTERS Name: __________________________________ 04/02/09 Last 4 Digits of USC ID:____ ____ ____ ____ Dr. Jessica Parr Lab TA’s Name: _________________________________ Question 1 2 3 4 5 6 7 8 Points 18 8 10 20 10 10 14 10 Total 100 Score Grader Please Sign Below: I certify that I have observed all the rules of Academic Integrity while taking this examination. Signature: _______________________________________________________________ Instructions: 1. You must show work to receive credit. 2. If necessary, please continue your solutions on the back of the preceding page (facing you). 3. YOU MUST use black or blue ink. (No pencil, no whiteout, no erasable ink.) 4. There are 8 problems on 11 pages. Please count them before you begin. A periodic table and some useful equations can be found on the last page. 5. Good luck!! =) 1 1. (18 pt) Determine whether the following statements are true or false. If false, correct the bold part of the statement to make the statement correct. a. The third law of thermodynamics states that the entropy of a perfect crystal at 0 K is zero. True False b. When a process is spontaneous it has a rate constant greater than 1 for the direction written. True False c. All standard reduction potentials are measured relative to the standard water electrode. True False d. In the redox reaction: 2MnO4-(aq) + 6H+ (aq) + 5ClO3- (aq) Æ 2Mn2+ (aq) + 3H2O (l) + 5ClO4- (aq), five electrons are transferred. True False True False e. Carbon dating can be used to date all types of material. f. The binding energy for a nucleus is the energy required to break a nucleus into its component nucleons. True False 2 2. (8 pt) For mercury, the enthalpy of vaporization is 58.51 kJ/mol and the entropy of vaporization is 92.92 J/K*mol. What is the normal boiling point of mercury? 3 3. (10 pt) The Kb for methylamine (CH3NH2) at 25oC is 4.4 x 10-4. What is the value of ΔG when [OH-] = 1.5 x 10-8 M, [CH3NH3+] = 5.5 x 10-4 M, and [CH3NH2] = 0.120 M? Will the reaction proceed toward the products or the reactants? Why? 4 4. (20 pt) A galvanic cell is based on the following reduction reactions: Co3+ (aq) + e- Æ Co2+ (aq) εo = 1.82 V Cr2O72- (aq) + 14 H+ (aq) + 6e- Æ 2 Cr3+ (aq) + 7 H2O (l) εo = 1.33 V a. What is the balanced reaction for this cell? b. What is the standard cell potential for this cell? c. Give the line notation for this cell. d. In a galvanic cell, what is the purpose of the porous disk or salt bridge? e. If the cell is at standard conditions what are the concentrations of the ions in solution? 5 f. On the figure below add in the following for the galvanic cell described above: i. The ions in solution in each compartment ii. Label the cathode and anode compartments iii. Label the composition of the electrodes iv. Indicate the direction of electron flow porous disk 6 5. (10 pt) A voltaic cell is constructed that uses the following half-cell reactions: Cu+ (aq) + e- Æ Cu (s) εo = 0.521 V I2 (s) + 2 e- Æ 2 I- (aq) εo = 0.536 V The cell is operated at 298 K with [Cu+] = 0.25 M and [I-] = 3.5 M. a. What is the cell potential for this voltaic cell, at these non-standard conditions? b. What is being oxidized at the anode, with these non-standard conditions? c. If the [Cu+] was equal to 1.50 M, at what concentration of I- would the cell potential be zero? 7 6. (10 pt) An aqueous solution of an unknown salt of manganese and chloride is electrolyzed for 1.35 hr with a current of 3.21 A. If 2.22 g of Mn metal is produced at the cathode, what is the formula for the manganese chloride salt? 8 7. (14 pt) a. Write the equation for the decay of 241Am by alpha-particle production. b. 241Am decays by a series of alpha-particle and beta-particle productions, taking 241Am through many transformations to get to 209Bi. In the complete decay series, how many alpha particles and beta particles are produced? _________ alpha-particles ___________ beta-particles c. 241Am has a half-life of 432.2 years. How long will it take for a 0.450 g sample to decay to 18.5 % of its original mass? 9 8. (10 pt) The binding energy per nucleon for 27Mg is 1.326 x 10-12 J/nucleon. Determine the atomic mass of 27Mg in amu. Proton Mass 1.00728 amu Neutron Mass 1.00866 amu Electron Mass 5.48580 x 10-4 amu 10 I VIII 1 H 1.008 3 Li 6.941 11 Na 22.99 19 K 39.10 II III IV V VI VII 4 Be 9.012 12 Mg 24.31 20 Ca 40.08 21 Sc 44.969 22 Ti 47.88 23 V 50.94 24 Cr 51.996 25 Mn 54.9380 26 Fe 55.847 27 Co 58.9332 28 Ni 58.69 29 Cu 63.546 30 Zn 65.377 5 B 10.81 13 Al 26.98 31 Ga 69.72 6 C 12.01 14 Si 28.09 32 Ge 72.59 7 N 14.01 15 P 30.97 33 As 74.9216 8 O 16.0 16 S 32.07 34 Se 78.96 9 F 19.00 17 Cl 35.45 35 Br 79.90 2 He 4.003 10 Ne 20.18 18 Ar 39.95 36 Kr 83.80 37 Rb 85.47 55 Cs 132.9 87 Fr (223) 38 Sr 87.62 56 Ba 137.3 88 Ra 226.0 39 Y 88.91 57 La 138.9 89 Ac 227.0 40 Zr 91.22 72 Hf 178.5 104 Rf 261) 41 Nb 92.91 73 Ta 180.9 105 Db (262) 42 Mo 95.94 74 W 183.85 106 Sg (263) 43 Tc (99) 75 Re 186.2 107 Bh (262) 44 Ru 101.1 76 Os 190.2 108 Hs (265) 45 Rh 102.9 77 Ir 192.2 109 Mt (268) 46 Pd 106.4 78 Pt 195.09 110 Ds (271) 47 Ag 107.9 79 Au 197.0 111 Rg (272) 48 Cd 112.4 80 Hg 200.6 112 Uub 49 In 114.8 81 Tl 204.4 113 Uut 50 Sn 118.7 82 Pb 207.2 114 Uuq 51 Sb 121.8 83 Bi 209.0 115 Uup 52 Te 127.6 84 Po (209) 53 I 126.9 85 At (210) 54 Xe 131.3 86 Rn (222) 58 Ce 140.1 90 Th 232.0 59 Pr 140.9 91 Pa 231.0 63 Eu 151.96 95 Am (243) 64 Gd 157.3 96 Cm (247) Lanthanides Actinides 60 Nd 144.2 92 U 238.0 61 Pm (145) 93 Np 237.0 62 Sm 150.4 94 Pu (244) 65 Tb 158.9 97 Bk (247) 66 Dy 162 98 Cf (251) 67 Ho 164.9 99 Es (252) 68 Er 167.3 100 Fm (257) 69 Tm 168.9 101 Md (258) 70 Yb 173.0 102 No (259) Useful Equations and Constants: F = 96,485 C/mol e- ΔGo = -RT ln(K) R = 8.314 J/K*mol = 0.08206 L*atm/K*mol ΔGo = ΔHo - TΔSo ΔSsurr = -ΔH/T ΔSuniv = ΔSsys + ΔSsurr ΔG = ΔGo + RT ln(Q) NA = 6.022 x 1023 ε = εo – (RT/nF)lnQ ε = εo – (0.0591/n)logQ ΔG = -nFε ΔE = mc2 c = 3.00 x 108 m/s 1 amu = 1.6605 x 10-27 kg 1A = 1C/s 1 MeV = 1.60 x 10-13 J ln[ A] = −kt + ln[ A]0 t1 / 2 = 0.693 k Rate = k[A] 11 71 Lu 175 103 Lr (26)
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