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MHT CET 2023 (10 May, Shift 2) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from MHT CET 2023 (10 May, Shift 2)

Q42MHT CET 2023 · 10 MAY · SHIFT 2Medium

Molecular Speeds & Maxwell Distribution

In a vessel, the ideal gas is at a pressure PP. If the mass of all the molecules is halved and their speed is doubled, then resultant pressure of the gas will be

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Answer: (b)

  1. P=13Nmv2‾VP = \frac{1}{3}\frac{N m \overline{v^2}}{V}, so P∝mv2P \propto m v^2
  2. m→m2m \to \frac{m}{2}, v→2vv \to 2v: mv2→m2⋅4v2=2mv2m v^2 \to \frac{m}{2}\cdot 4v^2 = 2 m v^2
  3. So the answer is (b) 2P2P.
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