Equilibrium constant for the reaction $\mathrm{H}_2 \mathrm{O}(\mathrm{g})+\mathrm{CO}(\mathrm{g}) \rightleftharpoons \mathrm{H}_2(\mathrm{~g})+\mathrm{CO}_2(\mathrm{~g})$ is 81 . If the velocity constant of the forward reaction is 162 L $\mathrm{mol}^{-1} \mathrm{sec}^{-1}$, what is the velocity constant (in $\mathrm{L} \mathrm{mol}^{-1}$ $\mathrm{sec}^{-1}$ ) for the backward reaction?
(a) 13122
(b) 2
(c) 261
(d) 243