A hydrogenation reaction is carried out at `500 K`. If the same reaction is carried out in the presence of a catalyst at the same rate, the temperature required is `400 K`. Calculate the activation energy of the reaction if the catalyst lowers the activation barrier by `20 kJ mol^(-1)`.

Explanation

From Arrhenius.s equation, under the given condition, we have,
`- (E)/(RT_1) = (E - 20)/(RT_2)`
`100kJ "mol"^(-1)`