Relationship between potential, Gibbs energy and equilibrium constant
The electrical work (called as electrical energy) which is equal to the product of the EMF of the cell and electrical charge that flows through the external circuit which can be given as
Wmax=nFEcell ......(i)
According to thermodynamics the free energy change ?G is equal to the maximum work. Inside the cell work is done on the surroundings by which the electrical energy flows through the external circuit, So
-Wmax= ΔG ......(ii)
from eq. (i) and (ii) ΔG = -nFEcell
In standard conditions ΔG0 = -nFE0cell
Where ΔG0 = standard free energy change
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