A diatomic gas is heated at constant volume. If heat supplied to gas is Q, find the change in rotational kinetic energy of diatomic gas molecules.

3Q/5

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2Q/7

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5Q/7

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2Q/5

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Solution

The correct option is D 2Q/5
Diatomic gas total 5 degrees of freedom, out of which 2 are for rotational and 3 are translational in nature.
Q = $Δ U + W W = 0 Δ U = Q$

2/5 of $Δ U$ goes to rotational KE = 2Q/5
3/5 of $Δ U$ goes to translational KE = 3Q/5

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