Chemistry Question from JEE Main 2024 · 8 April, Shift 1

Consider the following first-order gas-phase reaction at constant temperature: $\text{A(g)} \rightarrow 2\text{B(g)} + \text{C(g)}$ If the total pressure of the gases is found to be $200 \, \text{Torr}$ after $23 \, \text{s}$, and $300 \, \text{Torr}$ upon the complete decomposition of $A$ after a very long time, then the rate constant of the given reaction is _____ × $10^{-2} \, \text{s}^{-1}$ (nearest integer).