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MHT CET 2024 (3 May, Shift 2) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from MHT CET 2024 (3 May, Shift 2)

Q31MHT CET 2024 · 3 MAY · SHIFT 2Medium

Molecular Speeds & Maxwell Distribution

The r.m.s. velocity of gas molecules kept at temperature 27∘C27^\circ\text{C} in a vessel is 61 m/s61\text{ m/s}. Molecular weight of gas is nearly

[R=8.31Jmol K]\left[R = 8.31\frac{\text{J}}{\text{mol K}}\right]

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Answer: (a)

  1. vrms=3RTM⇒M=3RTvrms2v_{rms} = \sqrt{\frac{3RT}{M}} \Rightarrow M = \frac{3RT}{v_{rms}^2}
  2. M=3×8.31×300612=74793721≈2M = \frac{3 \times 8.31 \times 300}{61^2} = \frac{7479}{3721} \approx 2
  3. So the answer is (a) 2.
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