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MHT CET 2024 (9 May, Shift 2) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2024 (9 May, Shift 2)

Q116MHT CET 2024 · 9 MAY · SHIFT 2Medium

Thermodynamic Processes

An ideal gas (γ=1.5)(\gamma = 1.5) is expanded adiabatically. To reduce root mean square velocity of molecules two times, the gas should be expanded

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Answer: (b)

  1. vrms∝Tv_{rms} \propto \sqrt{T}, so halving vrmsv_{rms} means T2=T14T_2 = \frac{T_1}{4}.
  2. Adiabatic: TV0.5=constTV^{0.5} = \text{const}, so V∝T−2V \propto T^{-2}.
  3. V2V1=42=16\frac{V_2}{V_1} = 4^2 = 16
  4. So the answer is (b) 16 times.
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