1 10 61360 o g rt k j mol k k x j mol 3 2 2 2 2 3 3

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)ln(7.1 10 ) 61,360 / o G RT K J mol K K x J mol       3 2 2 2 2 3 3 (2.5) 3910 (0.2)(0.2) NH N H P Q P P ln 61360 / (8.31 / )(773 )ln(3910) 114500 / 114.5 / 115 / o G G RT Q J mol J mol K J mol kJ mol kJ mol   S6.5 (a) Oxidation: 2 Br - (0.005 M) Br 2 (l) + 2 e - Reduction: Hg 2+ (2.5 M) + 2 e - Hg(l) Overall: 2 Br - (0.005 M) + Hg 2+ (2.5 M) Br 2 (l) + Hg(l) , n = 2 electrons transfered (b) 2 2 2 0.86 (1.07 ) 0.21 o o o o o cell red oxid red red E E Hg E Br E Hg E Br V V V     (c) 2(96,500 / ) ln ln ( 0.21 ) 16.37 8.31 / (298 ) o o cell cell RT nF C mol E K K E V nF RT C V mol K K   16.37 8 7.8 10 K e x
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(d) 2 2 2 1 (8.31)(298) 1 ln 0.21 ln [ ] [ ] 2(96,500) (0.005) (2.5) 0.21 0.124 0.33 o cell cell RT E E V nF Br Hg V V V       S6.6 (a) Oxidation: Mg(s) Mg 2+ (1.8 M) + 2 e - Reduction: Al 3+ (0.001 M) + 3 e - Al(s) Overall: 3 Mg(s) + 2 Al 3+ (0.001 M) 3 Mg 2+ (1.8 M) + 2 Al(s) , n = 6 electrons transfered (b) 3 3 2 1.66 ( 2.37 ) 0.71 o o o o o cell red oxid red red E E Al E Mg E Al E Mg V V       (c) 6(96,500 / ) ln ln ( 0.71 ) 166 8.31 / (298 ) o o cell cell RT nF C mol E K K E V nF RT C V mol K K   166 72 1.2 10 K e x (d) 3 2 3 3 2 2 1.8 [ ] (8.31)(298) ln 0.71 ln [ ] 6(96,500) (0.001) 0.71 0.067 0.64 o cell cell RT Mg E E V nF Al V V V       S6.7 (a) r G o Note: For this reaction, n = 2 electrons transfered. 2 7 2 2 0.313 5.1 10 / (298 ) 0.268 o cell E a bT V x V K K V 0 (2)(96,500 / )(0.268 ) 51720 / 51720 / 51.7 / o r cell G nFE C mol V C V mol J mol kJ mol           (b) r S o 7 2 0 2 2(96,500 / )[( 2)(5.1 10 / )(298 )] 58.7 / ) 58.7 / o o cell r dE S nF nF bT C mol x V K K dT C V mol K J mol K     (c) r H o 51720 / (298 )( 51.7 / ) 67130 / 67.1 / o o o r r r H G T S J mol K J mol K J mol K kJ mol K        
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