A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at 300K. the ratio of the average rotational kinetic energy per O2 molecule to that per N2 molecule is

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1 : 1

1 : 2

2 : 1

depends on the moment of inertia of the two molecules

answer is A.

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Detailed Solution

Kinetic energy per degree of freedom is 12KTAs diatomic gas posses two degree of freedom for rotational motion therefore rotational kinetic energy = 2.12KT=KTIn the problem both gases are diatomic and have same temperature. Therefore the average rotational kinetic energy will be equal to one.

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