The relationship between the Gibbs free energy change ΔG, the standard Gibbs free energy change ΔG∘ and the equilibrium constant K is ΔG=ΔGo+2.303RTlogK
For a reversible process in a state of equilibrium ΔG=0
Hence, 0=ΔG0+2.303RTlogK ΔGo=−2.303RTlogK