Kinetic Theory of Gases

If the ratio of specific heat of gas $\gamma = \dfrac{C_p}{C_v}$, then the value of $C_p$ in terms of $\gamma$ and gas constant $R$ is

The total internal energy of one mole of HCl molecule is (assume the molecule to be non-rigid)

A vessel is filled with a gas at a pressure of 76 cm of mercury at a certain temperature. The mass of the gas is increased by 75 % by introducing more gas in the vessel at the same temperature. The resultant pressure of…

According to law of equi-partition of energy the molar specific heat of a rigid diatomic gas at constant pressure is

If a non-linear polyatomic gas has $f$ vibrational nodes, the value of $\gamma = C_p/C_v$ is ($C_p$ and $C_v$ are specific heats at constant pressure and volume respectively)

The internal energy per molecule for a diatomic (non-rigid) gas is (where $k_B$ is Boltzmann's constant and $T$ is absolute temperature)?

Two litre of an ideal gas at $42^\circ\text{C}$ is heated at a constant pressure to $357^\circ\text{C}$. Then the final volume is

There are two vessels A and B with rigid walls containing ideal gases. The pressure, temperature and volume are $P_A$, $T_A$ and V in the vessel A and $P_B$, $T_B$ and V in vessel B. The vessels are now connected…

Pressure exerted by an ideal gas on the walls of the container is equal to a) mean kinetic energy per unit volume. b) half of mean kinetic energy per unit volume. c) one-third of mean kinetic energy per unit volume. d)…

Statement I- The kinetic energy per molecule of the gas is equal to $\dfrac{3}{2}k_B T$. $\{k_B$ = Boltzmann constant, T = absolute temperature of the gas$\}$ Statement II- For the ideal gas with total energy E, the…

The temperature at which the mean kinetic energy of the molecules of gas is $\left(\dfrac{1}{4}\right)^{th}$ of the mean kinetic energy of its molecules at $147^\circ\text{C}$ is

$C_p$ and $C_v$ are the specific heats at constant pressure and constant volume respectively. It is observed that $C_p - C_v = a$ for hydrogen gas and $C_p - C_v = b$ for carbon dioxide gas. The correct relationship…