At constant pressure, equal amounts of heat are supplied to a monatomic gas and a diatomic gas separately. The ratio of the increases in internal energies of the two gases is

For an ideal gas at a temperature of $27^{\circ} C$ and at constant pressure, the coefficient of volume expansion is nearly

At which temperature will the speed of sound in hydrogen be the same as the speed of sound in oxygen at $100\,^{\circ}C$?

$A$ box of $1 \ m^{3}$ is filled with nitrogen at $1.5 \ atm$ at $300 \ K$. The box has a hole of an area $0.010 \ mm^{2}$. How much time is required for the pressure to reduce by $0.10 \ atm$,if the pressure outside is $1 \ atm$?

$A$ thermally insulated vessel containing monatomic gas is moving with a speed of $30 \, m/s$. If the vessel suddenly stops, the increase in gas temperature is (Molar mass of gas $= 83 \, g/mol$ and $R = 8.3 \, J/K \cdot mol$). (in $ \, K$)

$A$ container holds $10^{26} \text{ molecules/m}^3$ each of mass $3 \times 10^{-27} \text{ kg}$. Assume that $1/6$ of the molecules move with velocity $2000 \text{ m/s}$ directly towards one wall of the container while the remaining $5/6$ of the molecules move either away from the wall or in perpendicular direction,and all collisions of the molecules with the wall are elastic.