Match List I with List II:
List I | List II |
(A) 3 Translational degrees of freedom | (I) Monoatomic gases |
(B) 3 Translational, 2 rotational degrees of freedoms | (II) Polyatomic gases |
(C) 3 Translational, 2 rotational and 1 vibrational degrees of freedom | (III) Rigid diatomic gases |
(D) 3 Translational, 3 rotational and more than one vibrational degrees of freedom | (IV) Nonrigid diatomic gases |
Choose the correct answer from the options given below:
Text Solution
Verified by ExpertsA
The formula for degree of freedom is given by
f = 3N-k
where N is the number of particles, k is the individual relationship in the system.
For a monoatomic gas particle, N = 1, k = 0. So, f = 3
Hence, monoatomic gas has 3 translational degree of freedom.
For a rigid diatomic gas molecule, there are 5 degrees of freedom, 3 translational and 2 rotational. A diatomic gas can have two extra degrees of freedom due to rotation along two independent axes.
A non rigid diatomic molecule has one extra degree of freedom than a rigid one. This is the vibrational degree of freedom. Hence, it has 6 degrees of freedom.
So, a non rigid diatomic gas has 3 translational, 2 rotational and 1 vibrational degrees of freedom.
A polyatomic gas has more than two atoms per molecule. Hence, the total number of degrees of freedom is 3 translational, 3 rotational and more than one vibrational degree of freedom.
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