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Law of equipartition of energy

Question

Assertion : The molecules of a monoatomic gas have three degrees of freedom.
Reason : The molecules of diatomic gas have five degrees of freedom. 

Easy
Solution

A monoatomic gas molecules like He consists of single atom. It can have translational motion in any direction in
space.
Thus, it has three translational degrees of freedom f = 3. It can also rotate but due to its small moment of inertia,
rotational kinetic energy is neglected.
The molecules of a diatomic gas (like O2, CO2 , H2) cannot only move but also rotate about anyone of the three
coordinates.
Hence, it can have two rotational degree of freedom.
Thus, a diatomic molecule has 5 degree of freedom, i.e. 3 translational and 2 rotational.



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