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All years 2023 2022 2021

\( 100 \, \text{g} \) of an ideal gas is kept in a cylinder of \( 416 \, \text{L} \) volume at \( 27^\circ \mathrm{C} \) under \( 1.5 \, \text{bar} \) pressure. The molar mass of the gas is ________ \( \text{g mol}^{-1} \). (Nearest integer)
(Given : \( R = 0.083 \, \text{L bar K}^{-1} \, \text{mol}^{-1} \) )

For a real gas at \( 25^\circ \mathrm{C} \) temperature and high pressure (\( 99 \) bar) the value of compressibility factor is \( 2 \), so the value of Vander Waal’s constant ‘b’ should be ______ \( \times 10^{-2} \, \mathrm{L \, mol^{-1}} \) (Nearest integer)
(Given \( R = 0.083 \, \mathrm{L \, bar \, K^{-1} \, mol^{-1}} \) )

A selected flask with a capacity of \( 2 \, \text{dm}^3 \) contains \( 11 \, \text{g} \) of propane gas. The flask is so weak that it will burst if the pressure becomes \( 2 \, \text{MPa} \). The minimum temperature at which the flask will burst is ________ \( ^\circ\text{C} \). [Nearest integer]
(Given : \( R = 8.3 \, \text{J K}^{-1} \text{ mol}^{-1} \), Atomic masses of C and H are \( 12u \) and \( 1u \), respectively) (Assume that propane behaves as an ideal gas)

Which amongst the given plots is the correct plot for pressure \( (p) \) vs density \( (d) \) for an ideal gas?

An evacuated glass vessel weighs \( 40.0 \, \text{g} \) when empty, \( 135.0 \, \text{g} \) when filled with a liquid of density \( 0.95 \, \text{mL}^{-1} \) and \( 40.5 \, \text{g} \) when filled with an ideal gas at \( 0.82 \, \text{atm} \) at \( 250 \, \text{K} \). The molar mass of the gas in \( \text{g mol}^{-1} \) is: (Given: \( R = 0.082 \, \text{L atm K}^{-1} \, \text{mol}^{-1} \))

At \( 300 \, \mathrm{K} \), a sample of \( 3.0 \, \mathrm{g} \) of gas A occupies the same volume as \( 0.2 \, \mathrm{g} \) of hydrogen at \( 200 \, \mathrm{K} \) at the same pressure. The molar mass of gas A is _______ \( \mathrm{g \, mol^{-1}} \). (nearest integer) Assume that the behavior of gases as ideal. (Given: The molar mass of hydrogen (\( \mathrm{H_2} \)) gas is \( 2.0 \, \mathrm{g \, mol^{-1}} \).)

A \( 10 \, \text{g} \) mixture of hydrogen and helium is contained in a vessel of capacity \( 0.0125 \, \text{m}^3 \) at \( 6 \, \text{bar} \) and \( 27^\circ \text{C} \). The mass of helium in the mixture is ______ g. (nearest integer) Given : \( R = 8.3 \, \text{J K}^{-1} \text{mol}^{-1} \) (Atomic masses of H and He are \( 1u \) and \( 4u \), respectively)

A mixture of hydrogen and oxygen contains \( 40\% \) hydrogen by mass when the pressure is \( 2.2 \, \mathrm{bar} \). The partial pressure of hydrogen is _______ bar. (Nearest Integer)

Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is \( 0.46 \, \text{g L}^{-1} \) at \( 257^\circ \text{C} \) and \( 100 \, \text{mm Hg} \). The molar mass of geraniol is ________ \( \text{g mol}^{-1} \) (Nearest Integer)
[Given : \( R = 0.082 \, \text{L atm K}^{-1} \text{ mol}^{-1} \)]

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JEE Main 2022 27th June Evening Shift

Which amongst the given plots is the correct plot for pressure \( (p) \) vs density \( (d) \) for an ideal gas?