A flask contains argon and chlorine in the ratio of 2: 1 by mass. The… | NEET 2026

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Molecular Speeds & Maxwell Distribution

A flask contains argon and chlorine in the ratio of $2 : 1$ by mass. The temperature of the mixture is $27^\circ\text{C}$ . The ratio of root mean square speed of the molecules of the two gases $\left(\frac{V_{\text{rms}}^{\text{Ar}}}{V_{\text{rms}}^{\text{Cl}}}\right)$ is: (Atomic mass of argon $= 40.0\text{ u}$ and molecular mass of chlorine $= 70.0\text{ u}$ )

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Answer: (a)

Same temperature, so $v_{rms} \propto \frac{1}{\sqrt M}$ (mass ratio in the flask does not matter).
$\frac{v_{Ar}}{v_{Cl}} = \sqrt{\frac{70}{40}} = \sqrt{\frac{7}{4}} = \frac{\sqrt7}{2}$
So the answer is (a) $\frac{\sqrt7}{2}$ .

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