Temperature coefficient is the ratio of rate constant of a reaction at a temperature and rate constant of the reaction when the temperature increases by 100C.
Let suppose a reaction:
A + B → C
Let K be the rate constant of the above reaction at temperature T
On increasing the temperature by 100C,
The new temperature will be(T+100)
Let rate constant at new temperature of the above reaction be K(T+100)
So, the temperature coefficient of the reaction will be:
Temperature coefficient : K/K(T+100)
Temperature coefficient of the most of the reaction lies between 2and 3more precisely.