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NEET 2016 (Phase 1) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from NEET 2016 (Phase 1)

Q85NEET 2016 · PHASE 1Medium

Molecular Speeds & Maxwell Distribution

The molecules of a given mass of a gas have r.m.s. velocity of 200 m s−1{}^{-1} at 27oC and 1.0 ×\times 105 N m−2{}^{-2} pressure. When the temperature and pressure of the gas are respectively, 127oC and 0.05 ×\times 105 N m−2{}^{-2}, the r.m.s. velocity of its molecules in m s−1{}^{-1} is

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Answer: (d)

  1. vrms=3RTMv_{rms} = \sqrt{\frac{3RT}{M}} depends only on TT for a given gas; pressure does not matter.
  2. v2=200400300=200⋅23v_2 = 200\sqrt{\frac{400}{300}} = 200\cdot\frac{2}{\sqrt3}
  3. So the answer is (d) 4003 m s−1\frac{400}{\sqrt3}\text{ m s}^{-1}.
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