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For a Ag-Zn button cell, the net reactio...

For a Ag-Zn button cell, the net reaction is
`Zn (s)+Ag_(2)O(s)rarrZnO(s)+2Ag(s)`
`DeltaG_(f)^(@)(Ag_(2)O)=-11.21kJ "mol"^(-1)` and
`DeltaG_(f)^(@)(ZnO)=-318.3kJ "mol"^(-1)`
The `E_("cell")^ (@)` of this button cell is

A

1.71V

B

1.591V

C

3.182V

D

3.07V

Text Solution

Verified by Experts

The correct Answer is:
b
`DeltaG_("reaction")^(@)=DeltaG_(f)^(@)(ZnO)-DeltaG^(@)(Ag_(2)O)`
`=-3.18.3+11.21`
`=-30.09xx10^(2)J`
`DeltaG^(@)= -nE^(@)F`
`therefore E^(@)=(-DeltaG^(@))/(nF)`
Here n=2
`therefore E^(@)=(+3.07.09xx10^(3))/(2xx96500)=1.591V`
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