For the reaction A ( g ) ⇌ 2 B ( g ), the backward reaction rate constant is higher than the forward reaction rate constant by a factor of 2500, at…

For the reaction $\displaystyle \mathrm{A}(\mathrm{g}) \rightleftharpoons 2 \mathrm{~B}(\mathrm{~g})$, the backward reaction rate constant is higher than the forward reaction rate constant by a factor of $\displaystyle 2500$, at $\displaystyle 1000$ K. [Given : $\displaystyle \mathrm{R}=0.0831 \mathrm{~L} \mathrm{~atm} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}$ ] $\displaystyle \mathrm{K}_{\mathrm{P}}$ for the reaction at $\displaystyle 1000$ K is