Kinetic Theory Of Gases Question 2

Question: Energy of all molecules of a monatomic gas having a volume $ F $ 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:

[b] Energy of mol of gas $ =\frac{f}{2}RT=\frac{f}{2}PV $ Where f= degree of freedom Monatomic or diatomic gases possess equal degree of freedom for diatomic and that is equal to 3, i.e., f=3
$ \

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