Law of Equipartition of Energy

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

State the types of degrees of freedom of non-rigid diatomic molecules.

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

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

Why the maximum possible degrees of freedom are more for a non-rigid diatomic molecule as compared to a rigid diatomic molecule?

Two vibrational energy terms in the total energy of a non-rigid diatomic molecule, are present due to the kinetic energies of the two vibrating atoms.

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

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

The number of translational degrees of freedom for a diatomic gas is 

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