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MHT CET 2026 (18 Apr, Shift 1) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2026 (18 Apr, Shift 1)

Q20MHT CET 2026 · 18 APR · SHIFT 1Medium

Thermodynamic Processes

The r.m.s. speed of hydrogen at S.T.P. is 'uu' m/s. If the gas is heated at constant pressure till its volume becomes three times, the final temperature of the gas and the r.m.s. speed are respectively

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Answer: (c)

  1. At constant pressure V∝TV \propto T: T2=3×273=819 KT_2 = 3 \times 273 = 819\text{ K}.
  2. vrms=3RTM∝Tv_{rms} = \sqrt{\dfrac{3RT}{M}} \propto \sqrt{T}, so v2=3 uv_2 = \sqrt{3}\,u.
  3. So the answer is (c) 819819 K, 3 u\sqrt{3}\,u m/s.
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