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The oxygen molecule has a mass of 5.30 x...

The oxygen molecule has a mass of `5.30 xx 10^-26 kg` and a moment of inertia of `1.94xx10^-46 kg m^2` about an axis through its centre perpendicular to the lines joining the two atoms. Suppose the mean speed of such a molecule in a gas is `500 m//s` and that its kinetic energy of rotation is two thirds of its kinetic energy of translation. Find the average angular velocity of the molecule.

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