Chemistry Question from JEE Main 2025 · 22 January, Shift 1

The molecule A changes into its isomeric form B by following a first order kinetics at a temperature of $1000 \, \text{K}$. If the energy barrier with respect to reactant energy for such isomeric transformation is $191.48 \, \text{kJ mol}^{-1}$ and the frequency factor is $10^{20}$, the time required for $50\%$ molecules of A to become B is _____ picoseconds (nearest integer). [$R = 8.314 \, \text{J K}^{-1} \, \text{mol}^{-1}$]