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Question

d(ΔG)=(ΔSreaction).dT
ΔG=ΔHTΔS
ΔG=ΔH+T(d(ΔG)dT)P
The temperature coefficient of the e.m.f of a cell, (dEdT)P is given by:

A
nFΔS
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B
ΔSnF
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C
ΔSnFT
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D
nFE
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Solution

The correct option is B ΔSnF

d(ΔG) = ΔS dT

ΔG = ΔH TΔS

ΔG = ΔH + T d(ΔG)dT

ΔG = ΔH + T d(nFE)dT

ΔG = ΔH nFT dEdT

dEdT = ΔG ΔHnFT

dEdT = TΔSnFT

dEdT = ΔSnF


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