Kinetic Theory Of Gases Question 30

Question: The pressure of a gas is raised from $ 27{}^\circ C $ to $ 927{}^\circ C. $ The root mean square speed is

Options:

A) $ \sqrt{( 927/27 )} $ times the earlier value

B) remain the same

C) gets halved

D) get doubled

Show Answer

Answer:

Correct Answer: D

Solution:

[d] $ c _{rms}\propto \sqrt{T} $ As temperature increases from 300 K to 1200 K that is four times, so, $ c _{rms} $ will be doubled.