What is the ratio of kinetic energy of 7 grams of nitrogen and 4 grams of oxygen at $T(\mathrm{~K})$ ?

Equal amount of gases are kept in two separate containers. If densities of the two gases are in $1: 2$ ratio and their temperatures are in 2:1 ratio, calculate the ratio of their respective pressures.

The volume of a given amount of gas at $27^{\circ} \mathrm{C}$ at constant pressure is $420 \mathrm{~cm}^3$. If the temperature is reduced by $20^{\circ} \mathrm{C}$ at constant pressure, what will be the volume of the gas?

The compressibility factor $Z=\frac{p V}{n R T}$ for hydrogen gas a 273 K and 1 atm pressure is