The influence of temperature on the equilibrium constant of a chemical reaction can be obtained from

(a) \(\left(\frac{\partial \ln K}{\partial T}\right)=-\frac{\Delta \dot{H}}{T^{2}}\)

(b) \(\ln \frac{K_{2}}{K_{1}}=\frac{\Delta \stackrel{\circ}{H}}{R}\left(\frac{1}{T_{2}}-\frac{1}{T_{1}}\right)\)

(c) \(\left(\frac{\partial \ln K}{\partial T}\right)=-\frac{T^{2}}{\Delta \dot{H}}\)

(d) \(\ln \frac{K_{2}}{K_{1}}=\frac{\Delta \stackrel{\circ}{H}}{R}\left(\frac{1}{T_{1}}-\frac{1}{T_{2}}\right)\).