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MHT CET 2019 (3 May, Shift 1) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from MHT CET 2019 (3 May, Shift 1)

Q76MHT CET 2019 · 3 MAY · SHIFT 1Medium

Molecular Speeds & Maxwell Distribution

The rms speed of oxygen molecule in a gas is $u$ , If the temperature is doubled and the molecules dissociates into two atoms, the rms speed will be

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Answer: (c)

$v_{rms} \propto \sqrt{\frac{T}{M}}$
Dissociation halves $M$ and $T$ is doubled: $\frac{T}{M}$ becomes 4 times
$v' = \sqrt4\,u = 2u$
So the answer is (c) $2u$ .

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