Consider the following first order gas phase reaction at constant temperature $\mathrm{A}(\mathrm{g}) \rightarrow 2 \mathrm{B}(\mathrm{~g})+\mathrm{C}(\mathrm{g})$

If the total pressure of the gases is found to be 200 torr after 23 $\mathrm{sec}$. and 300 torr upon the complete decomposition of A after a very long time, then the rate constant of the given reaction is ________ $\times 10^{-2} \mathrm{~s}^{-1}$ (nearest integer)

[Given : $\log _{10}(2)=0.301$]