CHE112 Problem Set 10 Solutions

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University of Toronto *

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112

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Chemistry

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Apr 29, 2024

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pdf

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6

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CHE112 Physical Chemistry Winter 2024 Tutorial 11: Problem Set 10 (Redox Reactions and Electrochemistry) Review from High School: 1. Determine the oxidation state of each element in the following compounds: F 2 [answer: F = 0] HCl [answer: H = +1, Cl = -1] HBrO [answer: H = +1, O = -2, Br = +1] SiC [answer: Si = +4, C = -4] CaC 2 [answer: Ca = +2, C = -2] FeN [answer: N = -3, Fe = +3] 2. The Energizer battery is an alkaline zinc-magnesium dioxide cell. The overall cell reaction can be represented as: Zn (s)+ 2MnO2 (s) ZnO (s) + Mn2O3 (s) What is the oxidation half-reaction at the anode and the reduction half-reaction at the cathode? Solution:
3. Aluminum metal displaces zinc (II) ion from aqueous solution. Answer the following: a) Write out the oxidation and reduction half-reactions and an overall equation for this redox reaction. b) Write a cell diagram for a voltaic cell in which this reaction occurs. Solution: a) Oxidation: 2 {Al(s) Al 3+ (aq) + 3 e - } Reduction: 3 { Zn 2+ (aq) + 2 e - Zn(s)} Overall: 2 Al (s) + 3 Zn 2+ (aq) 2 Al 3+ (aq) + 3 Zn(s) b) Al(s) is oxidized to Al 3+ (aq) in the anode half-cell (left) and Zn 2+ (aq) is reduced to Zn(s) in the cathode half-cell (right) Al(s) ǀ Al 3+ (aq) ǁ Zn 2+ (aq) ǀ Zn(s) Calculation Questions: 4. A battery system currently under study for possible use in electric vehicles is the zinc-chlorine battery. The overall reaction producing electricity in this cell is Zn (s) + Cl 2 (g) ZnCl 2 . What is the E o cell for this voltaic cell? (a nswer: 2.121 V *note: answer may vary depending on table used ) Solution: Reduction: Cl 2 (g) + 2 e - 2 Cl - (aq) Oxidation: Zn (s) Zn 2+ (aq) + 2e - Overall: Zn(s) + Cl 2 (g) Zn 2+ (aq) + 2Cl - (aq) E o cell = E o (reduction half cell) E o (oxidation half cell) = 1.358 V (-0.738 V) = 2.121 V Calculate E° for the reaction 2Na + 3S Na 2 S 3 (answer: 2.00V) * Solution:
5. Determine the standard cell potential E cell o , the standard Gibbs free energy change G o and the equilibrium constant for the following reaction at 25 o C. (answer: 1.85 x 10 4 ) *** The standard potential for Pb 2+ (aq) is -0.1262. (answer: E cell o = +0.1262V, G o = -24.35 kJ/mol, K = 1.85 x 10 4 ) Solution: Inspection of the cell reaction indicates that it comprises the following two half-reactions:
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