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  4. A mixture of 2 moles of helium gas (atomic mass = 4u), and 1 mole of argon gas (atomic mass = 40 u) is kept at 300 K in a container. The ratio of their rms speeds [(Vrms( texthelium)/Vrms (( textargon))] is close to :

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Q. A mixture of $2$ moles of helium gas (atomic mass = $4u$), and $1$ mole of argon gas (atomic mass = $40\, u$) is kept at $300\, K$ in a container. The ratio of their rms speeds $\left[\frac{V_{rms}\left(\text{helium}\right)}{V_{rms} ((\text{argon})}\right] $is close to :

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Solution:

$\frac{V_{rms} \left(He\right)}{V_{rms}\left(Ar\right)} = \sqrt{\frac{M_{Ar}}{M_{He}}} = \sqrt{\frac{40}{4}} = 3.16 $