List of top Physics Questions on The Kinetic Theory of Gases

The charge stored by the capacitor C in the given circuit in the steady state is _________ $\mu$C.

For an ideal gas, a cyclic process ABCA as shown in the P–T diagram. When represented in P–V plot, it would be

Let $ \bar{v}, v_{rms}, v_p $ denote the mean speed, root mean square speed and most probable speed of molecules of mass $ m $ in an ideal monoatomic gas at temperature $ T $. Which statements are correct?

Consider two boxes containing ideal gases $A$ and $B$ such that their temperatures, pressures and number densities are same. The molecular size of $A$ is half of that of $B$ and mass of molecule $A$ is four times that of $B$. If the collision frequency in gas $B$ is $32\times10^8\ \text{s}^{-1}$, then collision frequency in gas $A$ is ___________\,$\text{s}^{-1}$.

The RMS speeds of $ \mathrm{H_2} $ and $ \mathrm{O_2} $ gases are the same. If the temperature of $ \mathrm{O_2} $ gas is $23^\circ\mathrm{C}$, find the temperature of $ \mathrm{H_2} $ gas.

RMS speed for $ \mathrm{H_2} $ and $ \mathrm{O_2} $ are same. If temperature of $ \mathrm{O_2} $ gas is $ 23^\circ\text{C} $, find the temperature of $ \mathrm{H_2} $ gas.

A closed tube filled with ideal gas is rotating with angular speed $\omega$ about an axis passing through end $A$. Find the pressure at the other end $B$. ($M$ is the molar mass of the gas, $\ell$ is the length of the tube and $T$ is the temperature of the gas.) Given pressure at $A$ is $P_A$.

The ratio of the average translational kinetic energies of hydrogen and oxygen at the same temperature is

If the rms speed of the molecules of a gas at a temperature of 77 $^\circ$C is 50 ms$^{-1}>$, then the rms speed of the same gas molecules at a temperature of 150.5 $^\circ$C is

The kinetic energy of translation of the molecules in 50 g of CO$_2$ gas at 17°C is:

The pressure of a mixture of 64 g of oxygen, 28 g of nitrogen and 132 g of carbon dioxide gases in a closed vessel is P. Under isothermal conditions if entire oxygen is removed from the vessel, the pressure of the mixture of remaining two gases is

For a particular ideal gas, which of the following graphs represents the variation of mean squared velocity of the gas molecules with temperature?

The molecular density of a gas is n and diameter of its molecule is d. The mean free path of molecule is:

A photograph of a landscape is captured by a drone camera at a height of 18 km. The size of the camera film is 2 cm $ \times $ 2 cm and the area of the landscape photographed is 400 km$^2$. The focal length of the lens in the drone camera is:

The helium and argon are put in the flask at the same room temperature (300 K). The ratio of average kinetic energies (per molecule) of helium and argon is : (Give : Molar mass of helium = 4 g/mol, Molar mass of argon = 40 g/ mol )

The mean free path and the average speed of oxygen molecules at 300 K and 1 atm are $3 \times 10^{-7} \mathrm{~m}$ and $600 \mathrm{~m} / \mathrm{s}$, respectively. Find the frequency of its collisions.

Mean free path for an ideal gas is observed to be 20 μm while the average speed of molecules of gas is observed to be 600 m/s, then the frequency of collision is near?

The ratio of vapour densities of two gases at the same temperature is $ \frac{4}{25} $, then the ratio of r.m.s. velocities will be:

A photograph of a landscape is captured by a drone camera at a height of 18 km. The size of the camera film is 2 cm $ \times $ 2 cm and the area of the landscape photographed is 400 km$^2$. The focal length of the lens in the drone camera is:

The workdone in an adiabatic change in an ideal gas depends upon:

For a particular ideal gas, which of the following graphs represents the variation of mean squared velocity of the gas molecules with temperature?

Let $ \bar{V} $, $ V_{\text{rms}} $, $ V_p $ denote the mean speed, root mean square speed, and most probable speed of the molecules of mass $ m $ in an ideal monoatomic gas at absolute temperature $ T $ Kelvin. Which statement(s) is/are correct?

The temperature of a gas is $-78^\circ\text{C}$ and the average translational kinetic energy of its molecules is $ K $. The temperature at which the average translational kinetic energy of the molecules of the same gas becomes $ 2K $ is:

The temperature of a gas having $ 2.0 \times 10^{25} $ molecules per cubic meter at 1.38 atm (Given, $ k = 1.38 \times 10^{-23} \, \text{JK}^{-1} $) is:

The speed distribution for a sample of $N$ gas particles is shown below. $P(v) = 0$ for $v > 2v_0$. How many particles have speeds between $1.2v_0$ and $1.8v_0$?