Ideal gas equation

A gas has a compressibility factor of 0.5 and a molar volume of $0.4\,\mathrm{dm^3\,mol^{-1}}$ 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 $\mathrm{dm^3\,mol^{-1}}$. The value of $\mathbf{x}/\mathbf{y}$ is _____.

[Use: Gas constant, $R = 8\times10^{-2}\,\mathrm{L\,atm\,K^{-1}\,mol^{-1}}$]

At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ______ g mol$^{-1}$. (nearest integer) Assume that the behaviour of gases as ideal.

(Given: The molar mass of hydrogen ($\mathrm{H_2}$) gas is 2.0 g mol$^{-1}$.)

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

(Given : $R=0.082$ L atm K$^{-1}$ mol$^{-1}$)

2.0 g of $\mathrm{H_2}$ gas is adsorbed on 2.5 g of platinum powder at 300 K and 1 bar pressure. The volume of the gas adsorbed per gram of the adsorbent is ______ mL.

(Given : $R=0.083$ L bar K$^{-1}$ mol$^{-1}$)

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

100 g of an ideal gas is kept in a cylinder of 416 L volume at 27°C under 1.5 bar pressure. The molar mass of the gas is ______ g mol$^{-1}$. (Nearest integer)

(Given : R = 0.083 L bar K$^{-1}$ mol$^{-1}$)

Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is 0.46 gL$^{-1}$ at 257°C and 100 mm Hg. The molar mass of geraniol is ______ g mol$^{-1}$. (Nearest Integer)

[Given : R = 0.082 L atm K$^{-1}$ mol$^{-1}$]

A box contains 0.90 g of liquid water in equilibrium with water vapour at 27°C. The equilibrium vapour pressure of water at 27°C is 32.0 Torr. When the volume of the box is increased, some of the liquid water evaporates to maintain the equilibrium pressure. If all the liquid water evaporates, then the volume of the box must be ______ litre. [nearest integer]

(Given: R = 0.082 L atm K$^{-1}$ mol$^{-1}$)

(Ignore the volume of the liquid water and assume water vapours behave as an ideal gas.)

A sealed flask with a capacity of 2 dm$^3$ contains 11 g of propane gas. The flask is so weak that it will burst if the pressure becomes 2 MPa. The minimum temperature at which the flask will burst is ______ °C. [Nearest integer]

(Given: R = 8.3 J K$^{-1}$ mol$^{-1}$, Atomic masses of C and H are 12u and 1u, respectively.) (Assume that propane behaves as an ideal gas.)

A 10 g mixture of hydrogen and helium is contained in a vessel of capacity 0.0125 m$^3$ at 6 bar and 27°C. The mass of helium in the mixture is ______ g. (nearest integer)

Given: R = 8.3 J K$^{-1}$ mol$^{-1}$ (Atomic masses of H and He are 1 u and 4 u, respectively)

Aluminium reacts with sulfuric acid to form aluminium sulfate and hydrogen. What is the volume of hydrogen gas in liters (L) produced at 300 K and 1.0 atm pressure, when 5.4 g of aluminium and 50.0 mL of 5.0 M sulfuric acid are combined for the reaction?

(Use molar mass of aluminium as $27.0\ \mathrm{g\,mol^{-1}}$, $R = 0.082\ \mathrm{atm\,L\,mol^{-1}\,K^{-1}}$)

A closed tank has two compartments A and B, both filled with oxygen (assumed to be ideal gas). The partition separating the two compartments is fixed and is a perfect heat insulator (Figure 1). If the old partition is replaced by a new partition which can slide and conduct heat but does NOT allow the gas to leak across (Figure 2), the volume (in m³) of the compartment A after the system attains equilibrium is ______.