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# Van't Hoff Equation

This equation gives the quantitative temperature dependence of equilibrium constant (K).

Van't Hoff Equation

This equation gives the quantitative temperature dependence of equilibrium constant (K). The relation between standard free energy change (ΔG°) and equilibrium constant is

Differentiating equation (3) with respect to temperature,

Equation 4 is known as differential form of van’t Hoff equation.

On integrating the equation 4, between T1 and T2 with their respective equilibrium constants K1 and K2.

Equation 5 is known as integrated form of van’t Hoff equation.

### Problem

For an equilibrium reaction Kp = 0.0260 at 25° C ΔH= 32.4 kJmol-1, calculate Kp at 37° C

### Solution:

T1=25 + 273 = 298 K

T2 = 37 + 273 = 310 K

ΔH = 32.4 KJmol-1 = 32400 Jmol-1

R=8.314 JK-1 mol-1

KP1= 0.0260

Kp2=?

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11th Chemistry : UNIT 8 : Physical and Chemical Equilibrium : Van't Hoff Equation |