JEE Advanced · 2009 · 12 Apr 2009 · Paper 2 · States of Matter

The 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 t …

Molar volume $\left(V_m\right)$ of a van der Waals gas can be calculated by expressing the van der Waals equation as a cubic equation with $V_m$ as the variable. The ratio (in $\mathrm{mol}{\mathrm{dm}}^{-3}$) of the coefficient of $V_m^2$ to the coefficient of $V_m$ for …

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

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 $\mathbf{x}$ atm. If it shows ideal gas behaviour at the same temperature and pressure, the molar volume will be …

If the distribution of molecular speeds of a gas is as per the figure shown below, then the ratio of the most probable, the average and the roots mean square speeds, respectively, is

In thermodynamics the P-V work done is given by

For a system undergoing a particular process, the work done is, …