Gas laws

Two cylinders, both fitted with frictionless pistons, are filled with mixtures of He and Ar gases. In the first cylinder, the masses of He and Ar are $m_1$ and $m_2$, respectively. In the second cylinder, the masses of He and Ar are $m_2$ and $m_1$, respectively. The molar mass of Ar is 10 times the molar mass of He. The external pressure applied by the piston on the first cylinder needs to be 5 times that on the second cylinder so that the volume of the gas mixtures in both the cylinders are equal at the same temperature. Assuming He and Ar behave like ideal gases, the value of $(m_1/m_2)$ is ____.

A closed vessel contains $10\,\mathrm{g}$ of an ideal gas X at $300\,\mathrm{K}$, which exerts $2\,\mathrm{atm}$ pressure. At the same temperature, $80\,\mathrm{g}$ of another ideal gas Y is added to it and the pressure becomes $6\,\mathrm{atm}$. The ratio of root mean square velocities of X and Y at $300\,\mathrm{K}$ is

A rigid nitrogen tank stored inside a laboratory has a pressure of 30 atm at 06:00 am when the temperature is 27 °C. At 03:00 pm, when the temperature is 45°C, the pressure in the tank will be ______ atm. [nearest integer]

The pressure of a moist gas at 27°C is 4 atm. The volume of the container is doubled at the same temperature. The new pressure of the moist gas is ______ $\times10^{-1}$ atm. (Nearest integer)

(Given : The vapour pressure of water at 27°C is 0.4 atm.)

A mixture of hydrogen and oxygen contains 40% hydrogen by mass when the pressure is 2.2 bar. The partial pressure of hydrogen is ______ bar. (Nearest Integer)

'x' g of molecular oxygen (O$_2$) is mixed with 200 g of neon (Ne). The total pressure of the non-reactive mixture of O$_2$ and Ne in the cylinder is 25 bar. The partial pressure of Ne is 20 bar at the same temperature and volume. The value of 'x' is _______.

[Given: Molar mass of O$_2$ = 32 g mol$^{-1}$. Molar mass of Ne = 20 g mol$^{-1}$]

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 ______.

At 300 K, the density of a certain gaseous molecule at 2 bar is double to that of dinitrogen ($\ce{N2}$) at 4 bar. The molar mass of gaseous molecule is :

Two closed bulbs of equal volume (V) containing an ideal gas initially at pressure $p_i$ and temperature $T_1$ are connected through a narrow tube of negligible volume as shown in the figure below. The temperature of one of the bulbs is then raised to $T_2$. The final pressure $p_f$ is :

Which intermolecular force is most responsible in allowing xenon gas to liquefy ?

The initial volume of a gas cylinder is 750.0 mL. If the pressure of gas inside the cylinder changes from 840.0 mm Hg to 360.0 mm Hg, the final volume the gas will be :

The succeeding operations that enable this transformation of states are