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Question

Physics Question on Kinetic molecular theory of gases

The degrees of freedom of a molecule of a triatomic gas are

A

2

B

4

C

6

D

8

Answer

6

Explanation

Solution

A triatomic molecule can rotate about any of three co-ordinate axes. The molecule of a triatomic gas has a tendency of rotating about any of three co-ordinate axes. So, it has 66 degrees of freedom, 33 translational and 33 rotational. At high enough temperature, a triatomic molecule has 22 vibrational degrees of freedom. But as temperature requirement is not given, so we answer simply by assuming triatomic gas molecule at room temperature. Thus, f=6f=6 (33 translational +3+3 rotational) at room temperature.