JEE Main 2022 · 29 Jun · Shift 2, Chemistry question 85

The equation $k=\left(6.5\times10^{12}\text{s}^{-1}\right)e^{-26000\text{K}/T}$ is followed for the decomposition of compound A. The activation energy for the reaction is ______ kJ mol$^{-1}$. [nearest integer]

(Given: R = 8.314 J K$^{-1}$mol$^{-1}$)