The oxygen molecule has a mass of 5.30 × 10^–26kg and a moment of inertia of 1.94×10^–46kg m²about 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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