States of Matter · JEE Main previous year questions

2025 1 question

1. Q742025 · 2 Apr 2025 · Shift 1· Numerical answer

   Consider the following equilibrium, $\mathrm{CO}(\mathrm{g})+2{\mathrm{H}}_2(\mathrm{g})\rightleftharpoons {\mathrm{CH}}_3\mathrm{OH}(\mathrm{g})$ $0.1\text{ mol}$ 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 ${\mathrm{CH}}_3\mathrm{OH}$ is formed. The $K_p^{\theta }$ is _________ $\times 10^{-3}$ (nearest integer). $\text{Given : }\mathrm{R}=0.08{\text{ dm}}^3{\text{ bar K}}^{-1}{\text{ mol}}^{-1}$ Assume only methanol is formed as the product and the system follows ideal gas behaviour.

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   Answer: 74