A → B The molecule A changes into its isomeric form B by following a first order kinetics at a temperature of 1000 K. If the energy barrier with…

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