For the reaction P → B, the values of frequency factor A and activation energy E_A are 4 × 10^13 s^-1 and 8.3 kJ mol^-1 respectively. If the reaction…

For the reaction $\displaystyle \mathrm{P} \rightarrow \mathrm{B}$, the values of frequency factor A and activation energy $\displaystyle \mathrm{E}_{\mathrm{A}}$ are $\displaystyle 4 \times 10^{13} \mathrm{~s}^{-1}$ and $\displaystyle 8.3 \mathrm{~kJ} \mathrm{~mol}^{-1}$ respectively. If the reaction is of first order, the temperature at which the rate constant is $\displaystyle 2 \times 10^{-6} \mathrm{~s}^{-1}$ is \_\_\_\_ $\displaystyle \times 10^{-1} \mathrm{~K}$ (Given : $\displaystyle \ln 10=2.3, \mathrm{R}=8.3 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}, \log 2=0.30$ )