Chemical Kinetics: JEE Main 2026 Chemistry question

Consider $\mathrm{A\xrightarrow{k_1}B}$ and $\mathrm{C\xrightarrow{k_2}D}$ are two reactions. If the rate constant ($k_1$) of the $\mathrm{A\longrightarrow B}$ reaction can be expressed by the following equation $\log_{10}k=14.34-\frac{1.5\times10^4}{T/\mathrm{K}}$ and activation energy of $\mathrm{C\longrightarrow D}$ reaction ($E_{a_2}$) is $\frac15$th of the $\mathrm{A\longrightarrow B}$ reaction ($E_{a_1}$), then the value of ($E_{a_2}$) is ________ kJ mol$^{-1}$. (Nearest Integer)