JEE Main 2025 — Chemical Equilibrium Question with Solution

Consider the following equilibrium,

$$\mathrm{CO}(\mathrm{g})+2{\mathrm{H}}_2(\mathrm{g})\rightleftharpoons {\mathrm{CH}}_3\mathrm{OH}(\mathrm{g})$$

0.1 mol of CO along with a catalyst is present in a $2{\mathrm{dm}}^3$ flask maintained at 500 K . Hydrogen is introduced into the flask until the pressure is 5 bar and 0.04 mol of ${\mathrm{CH}}_3\mathrm{OH}$ is formed. The $K_p^{\theta }$ is __________ $\times 10^{-3}$ (nearest integer).

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

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