Kinetic Theory Of Gases Question 33

Question: Helium gas is filled in a closed vessel (having negligible thermal expansion coefficient) when it is heated from 300 K to 600 K, then average kinetic energy of helium atom will be

Options:

A) $ \sqrt{2} $ times

B) 2 times

C) unchanged

D) half

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Average K.E. $ =\frac{1}{2}mc^{2}=\frac{3}{2}kT $ 3
$ \

Therefore \frac{{{( \text{Av}\text{. K}\text{.E}\text{.} )} _{600K}}}{{{( \text{Av}\text{. K}\text{.E}\text{.} )} _{400K}}}=\frac{600}{300}=2 $
$ \

Therefore $ At 600K it will be 2 times than that at 300K.