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MHT CET 2021 (24 Sep, Shift 2) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from MHT CET 2021 (24 Sep, Shift 2)

Q66MHT CET 2021 · 24 SEP · SHIFT 2Medium

Molecular Speeds & Maxwell Distribution

The molecular masses of helium and oxygen are 4 and 32 respectively. The ratio of r.m.s. speed of helium at 327 ${}^\circ$ to r.m.s. speed of oxygen at 27 ${}^\circ$ will be

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Answer: (d)

$v_{rms} \propto \sqrt{\frac{T}{M}}$ ; $T_{He} = 600\text{ K}$ , $T_O = 300\text{ K}$
$\frac{v_{He}}{v_O} = \sqrt{\frac{600}{4}\cdot\frac{32}{300}} = \sqrt{16} = 4$
So the answer is (d) $4 : 1$ .

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