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Question

Find the E0 value for the reaction,
In2+(aq)+Cu2+(aq)In3+(aq)+Cu+(aq) at 298 K.
Given:
E0Cu2+(aq)/Cu+(aq)=0.15 VE0In2+(aq)/In+(aq)=0.4 V
E0In3+(aq)/In+(aq)=0.42 V

A
0.59 V
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B
0.97 V
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C
1.23 V
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D
0.23 V
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Solution

The correct option is A 0.59 V
ΔG0=nFE0
The given reversible reaction can be obtained as,
Cu2+(aq)+eCu+(aq)......(1);ΔG01=0.15F
In2+(aq)+eIn+(aq)......(2);ΔG02=+0.40F
In3+(aq)+2eIn+(aq).......(3);ΔG03=+0.84F
Reversing equation (3), we get,
In+(aq)In3+(aq)+2e......(4);ΔG04=0.84F
Adding equation (1), (2) and (4), we get,
Cu2+(aq)+In2+(aq)In3+(aq)+Cu+(aq);ΔG0=FEo

Number of electron involved in the reaction is 1.
ΔG0=ΔG01+ΔG02+ΔG04
ΔG0=0.59F
FE0=0.59F

E0=0.59 V


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