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Question

Zn|Zn2+(C1)||Zn2+(C2)|Zn. For this cell, Gibb's free energy change, ΔG is negative if:

A
C1=C2
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B
C1>C2
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C
C1<C2
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D
None of these
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Solution

The correct option is C C1<C2
For a concentration cell according to Nernst equation, we have
E=E0.0591nlogC1C2
Here E=0 because we have same electrode (at different concentrations) as anode and cathode.
n=2, because it is the number of electrons involved in the oxidation or reduction.
Substituting the values we get
E=0.05912logC2C1
We have studied another equation
ΔG=nFE
to make ΔG=negative the value of E will have to be positive.
Hence C2>C1

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