Kinetic Theory Of Gases Question 2

Energy of all molecules of a monatomic gas having a volume $ V $ and pressure $ p $ is 3/2 $ p $ $ V $ . The total translational kinetic energy of all molecules of a diatomic gas at the same volume and pressure is

Options:

A) $ 1/2,PV $

B) $ 3/2,PV $

C) $ 5/2,PV $

D) $ 3,PV $

Show Answer

Answer:

Correct Answer: B

Solution:

Energy of mol of gas $ =\frac{f}{2}RT=\frac{f}{2}PV $ Where f= degree of freedom Monatomic gases have f=3, diatomic gases have f=5, and they possess different degree of freedom $ \

Therefore E=\frac{3}{2}nRT $



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