List of top Physics Questions on kinetic theory

The ratio of specific heats $C_{p}/C_{v}$ for a mixture of 1 mole of helium and 1 mole of hydrogen is:

Find the mass of oxygen gas with which $882\times10^{23}$ degrees of freedom are associated at N.T.P. Given: Molar mass of diatomic gas, oxygen is $32\text{ g mol}^{-1}$ and oxygen molecule possess three translational and two rotational degrees of freedom.

A vessel of volume $27 \times 10^{4}\text{ cc}$ contains a mixture of Hydrogen (molar mass $= 2\text{ g mol}^{-1}$) and Oxygen (molar mass $= 32\text{ g mol}^{-1}$) gas at standard temperature and pressure (S.T.P.). If the mass of hydrogen is $16\text{ g}$, find the mass of oxygen gas contained in the vessel.

The rms velocity of hydrogen molecules at 27°C is v. At what temperature will the rms velocity of oxygen molecules equal v ?

In an isothermal process

The R.M.S. speed of oxygen molecules at \(27^\circ\text{C}\) is \(v\). At \(927^\circ\text{C}\), its R.M.S. speed will be

The rms speed of gas molecules is given by:

The INCORRECT assumption in the kinetic theory of gases is

If $f$ represents the intermolecular force between molecules and $V$ is the volume occupied by the gas molecules, then at high pressure and at low temperatures, the gas shows large deviation from the ideal behaviour because the fact that

If 300 J of heat energy is used to raise the temperature of one mole of an ideal gas by 10 K at constant pressure, then heat energy required to raise its temperature by 10 K at constant volume is $(R=8.3\text{ J mol}^{-1}\text{K}^{-1})$

If the diatomic molecule is non-rigid, then its molar specific heat capacity at constant volume is

The mass of one molecule of water is approximately

Which one is not an extensive variable?

If kinetic energy of one mole of monatomic gas is 24.4J, then temperature is(R = 8.314)

If rms speed is increased 20% and volume is kept constant, then increase in pressure is

At what temperature will the r.m.s. velocity of a hydrogen molecule be equal to that of an oxygen molecule at \(47^\circ\text{C}\)?

In a mixture of gases, the average number of degrees of freedom per molecule is 6. The rms speed of the molecule of the gas is \(c\), then the velocity of sound in the gas is

If r.m.s. velocity of hydrogen molecules is 4 times that of an oxygen molecule at $47^{\circ}\text{C}$, the temperature of hydrogen molecules is (Molecular weight of Hydrogen and Oxygen are 2 and 32 respectively)}

Two gases A and B are at absolute temperatures 350 K and 420 K respectively. The ratio of average kinetic energy of the molecules of gas B to that of gas A is

\(500 \text{ gram}\) of a diatomic gas is enclosed at a pressure of \(10^{5} \text{ Nm}^{-2}\). The density of the gas is \(5 \text{ kg m}^{-3}\). The energy of one mole of the gas due to its thermal motion is [consider the gas molecule as a rigid rotator].

The average force applied on the walls of a closed container depends as $\text{T}^\text{x}$ where T is the temperature of an ideal gas. The value of $x$ is

The mean kinetic energy of the molecules of an ideal gas at $399^\circ\text{C}$ is ' $E$ '. The temperature at which the mean kinetic energy of its molecules will be ' $E/2$ ', is

For a gas at a particular temperature on an average, the quantity which remains same for all molecules is

If the mean kinetic energy of one mole of helium gas at \( 400\,K \) temperature is \( 5000\,J \), then that for one mole of neon gas at \( 800\,K \) is

For an ideal gas at temperature \( T \) having the total number of molecules \( N \), the product of the pressure and volume, \( PV \), is equal to \((k_B \text{ is the Boltzmann constant})\)