For following reactions A → 700 K Product; A →[ catalyst ] 500 K Product it was found that the E_a is decreased by 30 kJ/mol in the presence of…

For following reactions $$\begin{aligned} & \text { A } \xrightarrow{700 \mathrm{~K}} \text { Product } \\ & \text { A } \xrightarrow[\text { catalyst }]{500 \mathrm{~K}} \text { Product } \end{aligned} $$ it was found that the $\displaystyle \mathrm{E}_{\mathrm{a}}$ is decreased by $\displaystyle 30$ kJ/mol in the presence of catalyst. If the rate remains unchanged, the activation energy for catalysed reaction is (Assume pre exponential factor is same) :