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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

a
1 : 1
b
1 : 2
c
2 : 1
d
depends on the moment of inertia of the two molecules

detailed solution

Correct option is A

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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