Law of Equipartition of Energy

The translational kinetic energy of $1 \mathrm{g}$ molecule of a gas, at temperature $300 \mathrm{K}$ is $\left(R=8.31 \mathrm{J} {\mathrm{mol}}^{-1} {\mathrm{K}}^{-1}\right)$

Non-rigid diatomic gas molecules have both translaion and rotational degree of freedom.

There are _____ translational degrees of freedom and three rotational degrees of freedom of Ozone.

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?

Choose the relation between the average kinetic energy and pressure.

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

Choose the wrong options.

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 _____.

Two ideal monatomic gases $\mathrm{A}$ and $\mathrm{B}$ at $27 \mathrm{℃}$ and $37 \mathrm{℃}$ are mixed. The number of moles in gas $\mathrm{A}$ is $2$ and number of moles in gas $\mathrm{B}$ is $3$. What will be the temperature of the mixture?

The kinetic energy of $1\mathrm{kg}$ of oxygen at $300\mathrm{K}$ is $1.356\times {10}^6\mathrm{J}$. Find the kinetic energy of  $4\mathrm{kg}$ of oxygen at $400\mathrm{K}$.

State the law of equipartition  of energy. 

Using expression for pressure exerted by gas, deduce expression for 

Kinetic energy per mole or kilomole.

Using expression for pressure exerted by gas, deduce expression for 

Kinetic energy per unit volume 

Using expression for pressure exerted by gas, deduce expression for 

Kinetic energy of a gas 

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

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

According to the kinetic theory of gases, for a diatomic molecule

A gas mixture consists of $2\mathrm{ }\mathrm{m}\mathrm{o}\mathrm{l}\mathrm{e}\mathrm{s}$ of oxygen and $4\mathrm{ }\mathrm{m}\mathrm{o}\mathrm{l}\mathrm{e}\mathrm{s}$ of Argon at temperature $T$ . Neglecting all vibrational modes, the total internal energy of the system is