# NEET Physics Kinetic Theory of Gases Questions Solved

A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at 300 K. The ratio of the average rotational kinetic energy per ${\mathrm{O}}_{2}$ molecule to that per ${\mathrm{N}}_{2}$ molecule is

1.  1 : 1

2.  1 : 2

3.  2 : 1

4.  Depends on the moments of inertia of the two molecules

1. Average kinetic energy per molecule per degree of freedom . Since both the gases are

diatomic and at same temperature (300 K), both will have the same number of rotational degree of

freedom i.e. two. Therefore, both the gases will have the same average rotational kinetic energy per

molecule  . Thus $\frac{{\mathrm{E}}_{1}}{{\mathrm{E}}_{2}}=\frac{1}{1}$ .

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