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NEET 2023 · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from NEET 2023

Q38NEET 2023Easy

Molecular Speeds & Maxwell Distribution

The temperature of a gas is −50∘C-50^\circ\text{C}. To what temperature the gas should be heated so that the rms speed is increased by 33 times?

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Answer: (a)

  1. T1=−50+273=223 KT_1 = -50 + 273 = 223\text{ K}
  2. Increased by 3 times means v2=v+3v=4vv_2 = v + 3v = 4v.
  3. T∝v2⇒T2=16×223=3568 KT \propto v^2 \Rightarrow T_2 = 16 \times 223 = 3568\text{ K}
  4. 3568−273=3295∘C3568 - 273 = 3295^\circ\text{C}
  5. So the answer is (a) 3295∘C3295^\circ\text{C}.
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