Consider the following equilibrium, \( \mathrm{CO(g)} + 2\mathrm{H_2(g)} \rightleftharpoons \mathrm{CH_3OH(g)} \). \( 0.1 \) mol of \( \mathrm{CO} \) along with catalyst is present \( 2 \, \mathrm{dm^3} \) flask maintained at \( 500 \, \mathrm{K} \).
Hydrogen is introduced into the flask until the pressure is \( 5 \, \mathrm{bar} \) and \( 0.04 \) mol of \( \mathrm{CH_3OH} \) is formed. The \( K_p \) is ________ \( \times 10^{-3} \) (nearest integer).
Given; \( R = 0.08 \, \mathrm{dm^3 \, bar \, K^{-1} \, mol^{-1}} \).
Assume only methanol is formed as the product and the system follows ideal gas behaviour.
