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They are related through the equation deltaG = -nF(deltaE). G is Gibbs free energy, n is number of electrons transferred, F is faraday constant, and e is cell potential. If cell potential is negative then reaction is spontaneous and if it is positive then reaction is non spontaneous.
Free energy and cell potential are related through the equation ∆G = - n F E, where ∆G is the change in Gibbs free energy, n is the number of electrons being transferred, F is Faraday's constant, and E is the cell potential.
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