Kinetic Theory of Gases

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…

$C_p$ 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…

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)…

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)

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…

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

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…

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

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

If the pressure of the gas is kept constant, then the mean free path ($\lambda$) of a gas varies with temperature ($T$) according to relation

The temperature at which the root-mean-square speed of carbon dioxide molecules becomes just sufficient for escaping Earth's atmosphere is approximately (Mass of carbon dioxide molecule $= 7 \times 10^{-26}\ \text{kg}$,…