Q.

The zinc/silver oxide cell is used in electric watches. The reaction is as following,

Zn2++2e-Zn;E°=-0.760 V

Ag2O+H2O+2e-2Ag+2OH-;E°=0.344 V

 If F is 96,500Cmol-1,ΔG° of the cell will be

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a

-313.082 kJ mol-1

b

-413.021 kJ mol-1

c

-113.072 kJ mol-1

d

-213.072 kJ mol-1

answer is B.

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Detailed Solution

ΔG0=nFE0

From the reaction, n = 2

ΔG0=296500   Ecello  .........(1)Ecello=   Ecathodeo       EanodeoZn+2  +  2e     Zn,    E0=0.76VAg2O+H2O+2e¯      2Ag+2OH,E0=+0.344V

SRP value of Ag2O  half cell is high 
 it acts like cathode
Thus …   Anode ; ZnZn+2 +2e-;  Cathode; Ag2O +H2O +2e- 2Ag +2OH-

Zn+Ag2O+H2O   Zn+2    +   2Ag  +  2OHEcello=   +0.3440.76

= + 1.104 V
Substituting  the value in ---(1)
ΔG0=296.5   1.104kJ

= –213.072 kJ 

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