The equilibrium constant can be related with energy change as dtdlnKc=ΔH/RT2. This is the differential form of Vant Hoff equation. It relates the equilibrium constant with enthalpy change for the reaction.
The integrated form is as shown below.
logK1K2=2.303RΔH0T1T2T2−T1
It relates the equilibrium constants at two different temperatures with standard enthalpy change of the reaction.