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Priyanshu kumar Best Answer
Sourav,this is gibbs free energy and in previous query there it is helmholtz free energy... The Gibbs' free energy is the energy available to do non-PV work in a thermodynamically-closed system at constant pressure and temperature. The Helmholtz free energy is the maximum amount of "useful" (non-PV) work that can be extracted from a thermodynamically-closed system at constant volume and temperature
in helmholtz free energy you derive the relation by keeping volume constant....but here as gas expands and work of expansion is also there...volume is not constant