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Question

For the following cell, Zn(s)|ZnSO4(aq)CuSO4(aq)|Cu(s), when the concentration of Zn2+ is 10 times the concentration of Cu2+, the expression for G (in J mol1) is:

[F is Faraday constant; R is gas constant; T is temperature; E(cell)=1.1 V]

A
2.303RT2.2F
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B
2.303RT+1.1F
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C
1.1F
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D
2.2F
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Solution

The correct option is A 2.303RT2.2F
Zn+Cu2+Zn2++Cu

E0cell=1.1V (given)

Ecell=E0cell2.303RTnFlog[Zn2+][Cu2+]
Ecell=1.1V2.303RTnFlog10[Cu2+][Cu2+]
Ecell=1.1V2.303RT2F

Now,

ΔG=nFEcell

ΔG=2F×[1.1V2.303RT2F]

ΔG=2.303RT2.2F

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