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