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)DetermineΔrG∘andE∘forthereaction.[Given,E∘ZnZn2+=−0.76V and E∘Ag+Ag+0.34V]
[Given,Zn→Zn2++2e−,E∘=−0.76VAg2O+H2O+2e−→2Ag+2OH−;E∘=(0.80−0.45)V]
In the given electrochemical cell, zinc is oxidised and silver ions are reduced.
E∘cell=E∘cathode−E∘anode=[0.35−(−0.76)]=1.11VReactions:At anode:Zn(s)→Zn2+(aq)+2e−At cathode:Ag2O(s)+H2O(l)+2e−→2Ag(s)+2OH−(aq)ΔrG∘=−nFE∘=−2×(96500C)×(1.11V)=−214230CV(orJ)or−2.1423×105J
E∘=1.11V;
ΔrG∘=−2.1423×105J