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