CBSE Class 12 · 2023 · Chemical KineticsShort Answer

Rate constant: increases with temperature. By the Arrhenius equation $k=A{e}^{-E_a/RT}$, a higher $T$ makes the exponential factor larger — the fraction of molecules with energy $\ge E_a$ rises steeply, so $k$ (roughly) doubles for every 10° rise.
Activation energy: remains unchanged. $E_a$ is the height of the energy barrier for the given path — a characteristic of the reaction — and does not depend on temperature.