A vessel contains a mixture of H₂ and N₂ gas. The density of this gas mixture is 0.2 g L⁻¹ at 300 K and 1… · ABC26PH0649

Subject: Physical Chemistry · Chapter: Chemical Equilibrium · Topic: Chemical Equilibrium – General · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Medium

A vessel contains a mixture of $\mathrm{H_2}$ and $\mathrm{N_2}$ gas. The density of this gas mixture is 0.2 $\mathrm{g\,L^{-1}}$ at 300 K and 1 atm. Assuming that both the gases behave ideally, the mole fraction of $\mathrm{N_2(g)}$ in the vessel is ____ (final answer should be rounded off to two decimal places) [Given: $R = 0.082\ \mathrm{L\,atm\,mol^{-1}\,K^{-1}}$, atomic wt. of hydrogen = 1.0 and atomic wt. of nitrogen = 14.0]
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