A mixture of 2 moles of helium gas (atomic mass = 4 amu ) and 1 mole of argon gas (atomic mass = 40

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12.Kinetic Theory of Gases

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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 $\left( {\,\,\,\frac{{{V_{rms}}({\rm{helium}})}}{{{V_{rms}}({\rm{argon}})}}\,\,\,} \right)\,\,$ is

A

$0.32$

B

$0.45$

C

$2.24$

D

$3.16$

Solution

$\mathrm{V}_{\mathrm{rms}} \propto \frac{1}{\sqrt{\mathrm{M}}}$

$\frac{\mathrm{V}_{1}}{\mathrm{V}_{2}}=\sqrt{\frac{40}{4}}=\sqrt{10}=3.16$

Standard 11

Physics

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