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Question

Derive Nernst equation.

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Solution

Derivation of Nerst Equation.

from thermodynamics, we know
|DeltaG=ΔG+2.303RTlogQ ___(1)

and ΔG=nFEcell ___(2)

by (1) and (2)

nFEcell=nFEcell+2.303RTlogQ

Ecell=Ecell2.303RTnFlogQ

Fro T=298F

F=96,500C

R=8.314J.mol1K1

Ecell=Ecell0.059nlogQ

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