1. Tardigrade
  2. Question
  3. Physics
  4. A mixture of 2 moles of helium gas (atomic mass =4 amu) and 1 mole of argon gas (atomic mass =40 amu) is kept at 300 K in a container. The ratio of the rms speeds (( v rms ( text helium )/ v rms ( text argon ))) is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A mixture of 2 moles of helium gas (atomic mass $=4$ amu) and 1 mole of argon gas (atomic mass $=40$ amu) is kept at $300 \,K$ in a container. The ratio of the rms speeds $\left(\frac{ v _{ rms }(\text { helium })}{ v _{ rms }(\text { argon })}\right)$ is

AIEEEAIEEE 2012

Solution:

$v _{ rms }=\sqrt{\frac{3 RT }{ M }}$
Required ratio $=\sqrt{\frac{ M _{ Ar }}{ M _{ He }}}=\sqrt{\frac{40}{4}}=\sqrt{10}$
$=3.16$