Arrhenius equation:- It shows the effect of temperature on rate of reaction and on rate constant. It can be written as-

K = A e^{- E}_a^/RT                — (i)

A = constant or collision frequency or Pre-exponential factor

E_a = Activation energy

R = Gas constant (8.314 J k^-1 mol)

T = Temperature

e = Exponential

A and E_a, Collectively are called Arrhenius parameters.

Take log on both side of equation

ln k = ln A – E_a/RT          — (ii)

At T₁, rate constant is K₁ and at T₂, rate constant is K₂

ln K₁ = ln A – (E_a/RT₁) --------(iii)

ln K₂ = ln A – (E_a/RT₂) --------(iv)

Subtracting the equation (iii) from (iv)