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Question

In the button cell widely used in watches and other devices the following reaction takes place :

Zn(s)+Ag2O(s)+H2O(l)Zn2+(aq)+2Ag(s)+2OH(aq)DetermineΔrGandEforthereaction.[Given,EZnZn2+=0.76V and EAg+Ag+0.34V]

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Solution

[Given,ZnZn2++2e,E=0.76VAg2O+H2O+2e2Ag+2OH;E=(0.800.45)V]
In the given electrochemical cell, zinc is oxidised and silver ions are reduced.
Ecell=EcathodeEanode=[0.35(0.76)]=1.11VReactions:At anode:Zn(s)Zn2+(aq)+2eAt cathode:Ag2O(s)+H2O(l)+2e2Ag(s)+2OH(aq)ΔrG=nFE=2×(96500C)×(1.11V)=214230CV(orJ)or2.1423×105J
E=1.11V;
ΔrG=2.1423×105J


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