Degrees of Freedom and Law of Equipartition of Energy

A poly atomic molecule has $3$ translational, $3$ rotational degrees of freedom and $2$ vibrational modes. The ratio of specific heats $\frac{C_P}{C_V}$ is

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,

The number of degree of freedom for a rigid diatomic molecule is 

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:

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 $\frac{E\text{'}}{E}$ .

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

Calculate the ratio $\frac{C_{\mathrm{p}}}{C_{\mathrm{v}}}$ for a triatomic gas molecule. (Assume the molecule has translational and vibrational degrees of freedom)

At temperature $T$, the $R.M.S.$ velocity of hydrogen gas becomes equal to the escape velocity from the earth's surface. The value of $T$ in $\mathrm{K}$ is

A diatomic molecule is moving without rotation or vibration with velocity ${\mathrm{v}}_{\mathrm{rms}}$  such that it is oriented along $x$-axis. It strikes a wall in $y$-$z$ plane while moving in positive $x$ direction. The spring constant can be assumed to be $\mathrm{K}$ and time of collision is negligible. After all collisions are over,

The root mean square angular velocity of a diatomic molecule (with each atom of mass and interatomic distance $a$ ) is given by :

The specific heats $C_P$ and $C_V$, of a diatomic gas $A$ are $29 \mathrm{J} {\mathrm{mol}}^{-1}{\mathrm{K}}^{-1}$ and $22 \mathrm{J} {\mathrm{mol}}^{-1}{\mathrm{K}}^{-1}$ respectively. Another diatomic gas $B$, has the corresponding values as $30 \mathrm{J} {\mathrm{mol}}^{-1}{\mathrm{K}}^{-1}$ and $21 \mathrm{J} {\mathrm{mol}}^{-1}{\mathrm{K}}^{-1}$ respectively. Which among the following is correct?