# Arhenius equation dependence of rate on temperature

The variation of rate or reaction on temperature is given by Arhenius equation. This eqn is

k = A e^{– Eact/kt}

where

k = Rate constant

Eact = Activation energy

R = Universal gas constant

T = Temperature in Kelvin

A = Constant called Arhenius factor

In a graph of lnk is plotted against 1/T it gives a straight line having y-intercept value lnA and slope -Eact/RT.

This shows that the rate constant is directly proportional to rate of reaction increase in temperature causes increase in rate of reaction.

If k_{1} and k_{2} are rate constant of a given reaction at T_{1} & T_{2}.

Then,

From equation (i) and (ii) we get,