Degrees of Freedom and Law of Equipartition of Energy

Name the type of the gas if its molar specific heat is given by $\frac{\mathrm{R}}{{\mathrm{C}}_{\mathrm{v}}}=0.67$

Rigid diatomic molecules of gas have how many rotational degrees of freedom?

The total number of degrees of freedom for a non-rigid diatomic molecule is equal to:

The gases Carbon monoxide and Nitrogen at the same temperature have kinetic energies $E_1$ and $E_2$, respectively. Then,

A sample of gas consists of ${\mu }_1$ moles of mono-atomic molecules, ${\mu }_2$ moles of diatomic molecules and ${\mu }_3$ moles of linear triatomic molecules. The gas is kept at high temperature. What is the total number of degree of freedom?

A container has one mole of mono-atomic ideal gas. Each molecule has $f$ degrees of freedom. What is the ratio of $\gamma =\frac{C_p}{C_v}$.

If ${\mathrm{C}}_{\mathrm{P}}$ and ${\mathrm{C}}_{\mathrm{v}}$ denote the specific heats of unit mass of nitrogen gas at constant pressure and volume respectively, then:

Total number of degrees of freedom of a rigid diatomic molecule is

The mean kinetic energy of a vibrating diatomic molecule with two vibrational modes is ($\mathrm{k}=$ Boltzman constant and $\mathrm{T}=$ Temperature)

The average energy per mole of an ideal gas of number of degrees of freedom equal to $n$at temperature$T$ is _____.

When $x$ amount of heat is given to a gas at constant pressure, it performs $\frac{x}{3}$ amount of work. The average number of degrees of freedom per molecule of the gas is:

The ratio C_P/C_V for a gas mixture consisting of $8 \mathrm{g}$ of helium and $16 \mathrm{g}$ of oxygen is :

The degree of freedom of an atom of a solid substance are

1 mole of a gas having $\gamma =\frac{7}{5}$ is mixed with $1$ mole of a gas having $\gamma =\frac{4}{3}.$ What will be the $\gamma$ for the mixture?

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

Let $E$ be the kinetic energy of one mole of gas at temperature $300 \mathrm{K}$ and $E\text{'}$at temperature $400 \mathrm{K}$. Find the value of $\frac{E\text{'}}{E}$ .

Calculate the mean kinetic energy of one gram of carbon dioxide gas. Carbon dioxide $\left({\mathrm{CO}}_2\right)$ is a triatomic gas $(\mathrm{O}=\mathrm{C}=\mathrm{O})$. (Given, $N$= Avogadro number, $k$ = Boltzmann constant and molecular weight of ${\mathrm{CO}}_2=44$)

If $I$ is the moment of inertia of a rigid diatomic molecule, then calculate the angular mean square velocity of a rotating molecule in the gas sample, if the temperature is $T$. ($k$=Boltzmann constant)

A gas has volume $\mathrm{V}$ and pressure $\mathrm{P}$. What is the total translational kinetic energy of all the molecules of the gas ?