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MHT CET 2023 (9 May, Shift 2) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from MHT CET 2023 (9 May, Shift 2)

Q37MHT CET 2023 · 9 MAY · SHIFT 2Easy

Molecular Speeds & Maxwell Distribution

The temperature of an ideal gas is increased from 27∘C27^\circ\text{C} to 927∘C927^\circ\text{C}. The r.m.s. speed of its molecules becomes

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Answer: (a)

  1. T1=27+273=300 KT_1 = 27 + 273 = 300\text{ K}, T2=927+273=1200 KT_2 = 927 + 273 = 1200\text{ K}
  2. v2v1=1200300=4=2\frac{v_2}{v_1} = \sqrt{\frac{1200}{300}} = \sqrt{4} = 2
  3. So the answer is (a) twice.
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