For a chemically reacting system, the relation between Gibbs' free energy change and equilibrium constant is given by

(a) \(K=e^{-\frac{R T}{\Delta \dot{G}}}\)

(b) \(K=e^{-\frac{\Delta \dot{\circ}}{R T}}\)

(c) \(K=e^{\frac{\Delta \mathscr{G}}{R T}}\)

(d) \(K=e^{\frac{\Delta \dot{G} R}{T}}\).