A gas has a compressibility factor of 0.5 and a molar volume of \(0.4{\mathrm{dm}}^{3}{\mathrm{mol}}^{-1}\) at a temperature of 800 K and pressure x atm. If it shows ideal gas behaviour at the same temperature and pressure, the molar volume will be y \({\mathrm{dm}}^{3}\) \({\mathrm{mol}}^{-1}\). The value of \(\mathrm{x}/\mathrm{y}\) is_____.

[Use: Gas constant, \(\mathrm{R}=8\times {10}^{-2}\mathrm{L}\mathrm{atm}{\mathrm{K}}^{-1}{\mathrm{mol}}^{-1}\) ]

Question

A gas has a compressibility factor of 0.5 and a molar volume of \(0.4{\mathrm{dm}}^{3}{\mathrm{mol}}^{-1}\) at a temperature of 800 K and pressure x atm. If it shows ideal gas behaviour at the same temperature and pressure, the molar volume will be y \({\mathrm{dm}}^{3}\) \({\mathrm{mol}}^{-1}\). The value of \(\mathrm{x}/\mathrm{y}\) is_____.

[Use: Gas constant, \(\mathrm{R}=8\times {10}^{-2}\mathrm{L}\mathrm{atm}{\mathrm{K}}^{-1}{\mathrm{mol}}^{-1}\) ]

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A gas has a compressibility factor of 0.5 and a molar volume of \(0.4{\mathrm{dm}}^{3}{\mathrm{mol}}^{-1}\) at a tempera…

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