Kinetic theory of gases practice · Mixed difficulty

Which of the following statements about kinetic theory of gases is wrong

A sealed container with negligible coefficient of volumetric expansion contains helium (a monoatomic gas). When it is heated from $300\;K$ to $600\;K$ the average K.E. of helium atoms is

The average velocity of molecules of a gas of molecular weight $M$ at temperature $T$ is

A diatomic gas molecule has translational, rotational and vibrational degrees of freedom. The ${C_P}/{C_V}$ is

Assertion: The change in air pressure effect the speed of sound.
Reason: The speed of sound in a gas is proportional to the square of pressure.

At what temperature, the rms velocity of gas molecules would be double of its value at NTP, if pressure is remaining constant?

What is an ideal gas?

A gas mixture consists of $4 \mathrm{~mol}$ of oxygen and $6 \mathrm{~mol}$ of argon at temperature $T$. Neglecting all vibrational modes, the total internal energy of the system is

Oxygen is filled in a closed metal jar of volume $1.0 \times 10^{-3} \mathrm{~m}^3$ at a pressure of $1.5 \times 10^5 \mathrm{~Pa}$ and temperature $400 \mathrm{~K}$. The jar has a small leak in it. The atmospheric pressure is $1.0 \times 10^5 \mathrm{~Pa}$ and the atmospheric temperature is $300 \mathrm{~K}$. Find the mass of the gas that leaks out by the time the pressure and the temperature inside the jar equalise with the surrounding.

If the molar specific heat at constant pressure for a polyatomic non-linear
gas is $x$ and the molar specific heat at constant volume for a diatomic gas
is $y,$ find the value of $\frac{x}{y}.$

The temperature of Argon, kept in a vessel, is raised by $1^{\circ} \mathrm{C}$ at a constant volume. The total heat supplied to the gas is a combination of translational and rotational energies. Their respective shares are:-

At $11^{\circ} c$, the rms speed of a gas molecule is found to be $1000 \mathrm{~m} / \mathrm{s}$. Take $R=\frac{25}{3} \mathrm{SI}$ units. The molecular mass (ingrams), of the gas molecule (in nearest integer) is

A box contains n molecules of a gas. How will the pressure of the gas be effected, if the number of molecules is made $2n$

A gas is allowed to expand isothermally. The root mean square velocity of the molecules

A cubical box with porous walls containing an equal number of ${O_2}$ and ${H_2}$ molecules is placed in a large evacuated chamber. The entire system is maintained at constant temperature $T.$ The ratio of ${v_{rms}}$ of ${O_2}$ molecules to that of the ${v_{rms}}$ of ${H_2}$ molecules, found in the chamber outside the box after a short interval is

Degree of freedom for polyatomic gas

Which of the following options may be the correct estimate of the mean free path of gas particles?

$[n:$ Number of gas particle per unit volume, $d:$ diameter]

An ideal gas filled in closed vessel at $27^{\circ} \mathrm{C}$ temperature if gas is heated then its pressure is made 2 times. Then find out the final temperature of gas.

The average translational kinetic energy of air molecules is $0.040 \mathrm{eV}\,\, \left(1 \mathrm{eV}=1.6 \times 10^{-19} \mathrm{~J}\right)$. Calculate the temperature of the air. Boltzmann constant $k=1.38 \times 10^{-23} \mathrm{~J} \mathrm{~K}^{-1}$.

An oxygen cylinder of volume $30 {~L}$ has an initial gauge pressure of $15 {~atm}$ and a temperature of $27^{\circ} {C}$. After some oxygen is withdrawn from the cylinder, the gauge pressure drops to $11 {~atm}$ and its temperature drops to $17^{\circ} {C}$. Estimate the mass of oxygen taken out of the cylinder.
(Take, $R=8.31 \,{Jmol}^{-1} {~K}^{-1}$ and molecular mass of $\left.{O}_2=32 {u}\right)$

Which of the following gases possesses maximum rms velocity, all being at the same temperature?

In kinetic theory of gases, which of the following statements regarding elastic collisions of the molecules is wrong

For a gas, if the ratio of specific heats at constant pressure and constant volume is $\gamma$, then the value of degrees of freedom is

The translational kinetic energy of gas molecule for one mole of the gas is equal to

The velocities of three molecules are $3{v}, 4 {v}$ and $5 {v}$, respectively. Their rms speed will be

Assertion(A): Translational kinetic energy of any gas at temperature $T$ would be $\frac{1}{2} m v_{\mathrm{rms}}^2$.
Reason(R): Translational kinetic energy of any type of gas at temperature $T$ would be $\frac{3}{2} R T$ for one mole.

The vapour of a substance behaves as a gas

What is the ratio of specific heats of constant pressure and constant volume of $N{H_3}$ is

Mean kinetic energy per degree of freedom of gas molecules is

Assertion (A) : According to the law of equipartition of energy, internal energy of an ideal gas at a given temperature, is equally distributed in translational and rotational kinetic energies.

Reason (R) : Rotational kinetic energy of a monoatomic gas is zero