Chemistry - Chemical Kinetics Question with Solution | TestHub

For the following reactions
$\text{A}\stackrel{700\text{K}}{\to }\text{Product}$
$\text{A}\stackrel{500\text{K}}{\underset{\text{catalyst}}{\to }}\text{Product}$
It was found that the${\mathrm{E}}_{\mathrm{a}}$is decreased by$\mathrm{30 }\mathrm{K}\mathrm{J}/\mathrm{m}\mathrm{o}\mathrm{l}$in the presence of catalyst. If the rate remains unchanged, the activation energy for catalysed reaction is (Assume pre-exponential factor is same)