Derive the relationship between Gibbs’s free energy change and the cell potential.
The electrical work of electrical energy produced is equal to the product of e.m.f of a cell. (EcellEcell) Welectrical=−Ecell×qWelectrical=−Ecell×q The negative sign indicates the work done by the system on the surroundings. Therefore, Welectrical=−nFEcellWelectrical=−nFEcell Since, ΔG=−W(non-expansion)ΔG=−W(non-expansion) In this case non-expansion work done is electrical work. Therefore, ΔG=−nFEcellΔG=−nFEcell Considering standard electrode potential, the standard gibbs free energy as follows, ΔGo=−nFEocell
