Chemical Kinetics: JEE Main 2026 Chemistry question

Pre-exponential factors of two different reactions of same order are identical. Let activation energy of first reaction exceeds the activation energy of second reaction by 20 kJ mol$^{-1}$. If $k_1$ and $k_2$ are the rate constants of first and second reaction respectively at 300 K, then $\ln\frac{k_2}{k_1}$ will be ______. (nearest integer) [$R=8.3$ J K$^{-1}$ mol$^{-1}$]