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Electrochemistry

Question
CBSEENCH12006072

Why is the equilibrium constant k related to only E°cell and not Ecell.

Solution

Nernst equation is given as:
EcellEcell°-RTnFInQ
Where Q  reaction quotient
Ecell is the cell potential at the temperature of interest.
Ecell0 is the standard cell potential 
R is the universal gas constant 
T is the abolute temperture 
F is the Farday constant 
n i the number of electron 
At equilibrium 
Ecell =0 and Q=k
K isthe equilibrium constant

0= Ecell°-RTnFInk

In k =nFEcell0RT