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Van't Hoff Equation

Relates the change in the equilibrium constant of a reaction to temperature, vital for understanding temperature-dependent equilibria.

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The statement of the theorem

The relationship between the equilibrium constant

K

and temperature

T

is described by the integrated form of the Van't Hoff equation:

\frac{d(\ln K)}{d(1/T)} = -\frac{\Delta H^\circ}{R}

where

\Delta H^\circ

is the standard enthalpy change of the reaction, and

R

is the universal gas constant. Integrating this yields:

\ln \left(\frac{K_2}{K_1}\right) = -\frac{\Delta H^\circ}{R} \left( \frac{1}{T_2} - \frac{1}{T_1} \right)

Source: Wikipedia