States of Matter · JEE Advanced previous year questions

2023 1 question

1. Q432023 · 4 Jun 2023 · Paper 1· Numerical answer

   A gas has a compressibility factor of 0.5 and a molar volume of $0.4\mathrm{d}{\mathrm{m}}^3\mathrm{mo}{\mathrm{l}}^{-1}$ at a temperature of $800\mathrm{K}$ and pressure $\mathbf{x}\mathrm{atm}$. If it shows ideal gas behaviour at the same temperature and pressure, the molar volume will be $\mathbf{y}\mathrm{d}{\mathrm{m}}^3\mathrm{mo}{\mathrm{l}}^{-1}$. The value of $\mathbf{x}/\mathbf{y}$ is ____. $[\text{Use: Gas constant, }\mathrm{R}=8\times 10^{-2}\mathrm{L}\mathrm{atm}{\mathrm{K}}^{-1}\mathrm{mo}{\mathrm{l}}^{-1}]$

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   Answer: 100