Kinetic Theory Of Gases Question 110

Question: If $ v _{H},v _{N} $ and $ v _{O} $ denote the root-mean square velocities of molecules of hydrogen, nitrogen and oxygen respectively at a given temperature, then

Options:

A) $ v _{N}>v _{O}>v _{H} $

B) $ v _{H}>v _{N}>v _{O} $

C) $ v _{O}=v _{N}=v _{H} $

D) $ v _{O}>v _{H}>v _{N} $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ {v _{rms}}\propto \frac{1}{\sqrt{M}} $

Therefore $ v _{H}\gt v _{N} \gt v _{O} $ $\hspace{10mm}$ ( $ \because M _{H}<M _{N}<M _{O} $ )