Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increases as $V ^q$, where $V$ is the volume of the gas. The value of $q$ is $\left( {\gamma = \frac{{{C_P}}}{{{C_V}}}} \right)$
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A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at $300\ K.$ The ratio of the average rotational kinetic energy per $O_2$ molecule to that per $N_2$ molecule is
A cylinder of fixed capacity of $44.8 \,litres$ contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of gas in the cylinder by $20.0^{\circ} C$ will be .............. $J$(Given gas constant $R =8.3 \,JK ^{-1}- moI ^{-1}$ )
An $HCl$ molecule has rotational, translational and vibrational motions. If the $rms$ velocity of $HCl$ molecules in its gaseous phase is $\bar v ,\,m$ is its mass and $k_B$ is Boltzmann constant, then its temperature will be