Van't Hoff Equation

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Van't Hoff Equation

\ln \left( {rac} 
ight) = - rac{R}\left {rac{1} - rac{1}} 
ight

In this equation

\ K_1

is the Equilibrium Constant at Absolute Temperature

\ T_1

and

\ K_2

is the Equilibrium Constant at Absolute Temperature

\ T_2

.

\ \Delta H^\circ

is the Enthalpy Change and

\ R

is the Gas Constant .

In another notation:

\ln \left( K 
ight) = - rac{R}\left {rac{1}}
ight +  rac{R}

a plot of the Reciprocal temperature versus the Natural Logarithm of the equilibrium constant measured for a certain equilibrium gives a straight line, the slope of which is the enthalpy change divided by the gas constant and the intercept of which is equal to the Entropy change

\ \Delta S^\circ

divided by the gas constant.