Chemistry Question from JEE Main 2025 · 2 April, Shift 1

Consider the following equilibrium, $\text{CO(g)} + 2\text{H}_2\text{(g)} \rightleftharpoons \text{CH}_3\text{OH(g)}$ $0.1 \, \text{mol}$ of CO along with a catalyst is present in a $2 \, \text{dm}^3$ flask maintained at $500 \, \text{K}$. Hydrogen is introduced into the flask until the pressure is $5 \, \text{bar}$ and $0.04 \, \text{mol}$ of $\text{CH}_3\text{OH}$ is formed. The $K_p$ is _____ $\times 10^{-3}$ (nearest integer).

Given: $R = 0.08 \, \text{dm}^3 \, \text{bar} \, \text{K}^{-1} \, \text{mol}^{-1}$

Assume only methanol is formed as the product and the system follows ideal gas behaviour.