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Electrochemistry

Question
CBSEENCH12006081

Write a Nernst equation for the half-cell reaction: Mn+(aq) + ne → M(s)

Solution

The concentration of all species involved in the species involved in the electrode reaction is unity.This need not be always true.
Nernst shows that for the electrode reaction:
Mn+(aq) +ne-  M(s)
the electrode potential at any concentration measured with respect to standard hydrogen electrode can be represented by:
E(Mn+M) = EMn+M0 -RTnF In MMn+

but concentration of solid M is taken as unity as we have
E(Mn+M) = EMn+M0 -RTnF In 1Mn+

R is gas constant (8.314 JK–1 mol–1),
F is Faraday constant (96487 C mol–1), T is temperature in kelvin and [Mn+] is the concentration of the species.