The internal energy of air in a $4 \ m \times 4 \ m \times 3 \ m$ sized room at $1$ atmospheric pressure will be . . . . . . $\times 10^6 \ J$. (Consider air as a diatomic molecule)

Consider a rectangular block of wood moving with a velocity $v_{0}$ in a gas at temperature $T$ and mass density $\rho$. Assume the velocity is along the x-axis and the area of cross-section of the block perpendicular to $v_{0}$ is $A$. Show that the drag force on the block is $4\rho A v_{0} \sqrt{\frac{kT}{m}}$,where $m$ is the mass of the gas molecule.

The translational kinetic energy of gas molecules for one mole of the gas is equal to

If the temperature of a gas increases from $27^{\circ}C$ to $927^{\circ}C$,the $K.E.$ will be

Discuss the main points to be considered while deriving the equation of pressure on the basis of the kinetic theory of gases.

If the number of molecules of ${H_2}$ is double that of ${O_2}$,then the ratio of the kinetic energy of hydrogen to that of oxygen at $300 \, K$ is: