JEE Main 2022 · 26 Jun · Shift 2, Chemistry question 88

Catalyst A reduces the activation energy for a reaction by 10 kJ mol$^{-1}$ at 300 K. The ratio of rate constants, $\dfrac{k_{T,\text{Catalysed}}}{k_{T,\text{Uncatalysed}}}$ is $e^x$. The value of $x$ is ______. [nearest integer]

[Assume that the pre-exponential factor is same in both the cases. Given $R=8.31$ J K$^{-1}$mol$^{-1}$]