Consider the following equilibrium, \(\mathrm{CO}(\mathrm{g})+2{\mathrm{H}}_{2}(\mathrm{g})⇌{\mathrm{CH}}_{3}\mathrm{OH}…

Consider the following equilibrium, \(\mathrm{CO}(\mathrm{g})+2{\mathrm{H}}_{2}(\mathrm{g})⇌{\mathrm{CH}}_{3}\mathrm{OH}(\mathrm{g})\),\(0.1\)mol of \(\mathrm{CO}\)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 \({\mathrm{K}}_{\mathrm{p}}^{0}\) is _________ \(\times {10}^{-3}\) (nearest integer).
Given : \(\mathrm{R}=0.08{\mathrm{dm}}^{3}\mathrm{bar}{\mathrm{K}}^{-1}{\mathrm{mol}}^{-1}\) bar \({\mathrm{K}}^{-1}{\mathrm{mol}}^{-1}\)
Assume only methanol is formed as the product and the system follows ideal gas behaviour.

[JEE Main 2025, 2 Apr (Shift 1)]