Consider the following first order gas phase reaction at constant temperature A ( g ) → 2 B ( g )+ C ( g ) If the total pressure of the gases is…

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 $\displaystyle 200$ torr after $\displaystyle 23$ sec . and $\displaystyle 300$ torr upon the complete decomposition of A after a very long time, then the rate constant of the given reaction is $\displaystyle \_\_\_\_$ $\displaystyle \times 10^{-2} \mathrm{~s}^{-1}$ (nearest integer) $\displaystyle \left[\right.$ Given : $\displaystyle \log _{10}(2)=0.301$ ]