Kinetic Theory Of Gases Question 78

Question: A non-linear triatomic gas is filled inside a vessel. If ‘a’ fraction of moles dissociate into individual atoms, then average degree of freedom for the mixture is: (neglect vibrational degrees of freedom)

Options:

A) $ \frac{3\alpha +6}{\alpha +1} $

B) $ \frac{\alpha +6}{2\alpha +1} $

C) $ \frac{3\alpha +6}{\alpha +2} $

D) $ \frac{3\alpha +6}{2\alpha +1} $

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Answer:

Correct Answer: D

Solution:

[d] $ {f _{\max }}=\frac{( n\alpha )( 3 )( 3 )+( n-n\alpha )( 6 )}{( n\alpha )( 3 )+( n-n\alpha )}=\frac{3\alpha +6}{2\alpha +1} $