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 $O_{2}$ molecule to per $N_{2}$ molecule is

1 : 1

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1 : 2

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2 : 1

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Depends on the moments of inertia of the two molecules

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Solution

The correct option is B $1 : 1$
A diatomic gas has 2 degrees of freedom associated with rotational motion. Law of equipartition of energy states that the rotational kinetic energy per degree of freedom is $\frac{1}{2} K T$ . Since two gases are at same temperature their rotational kinetic energies will be equal.
Hence Option A is correct answer.

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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 O2 molecule to per N2 molecule is

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 $O_{2}$ molecule to per $N_{2}$ molecule is