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MHT CET 2024 (11 May, Shift 1) · Degrees of Freedom & Internal Energy

Degrees of Freedom & Internal Energy question from MHT CET 2024 (11 May, Shift 1)

Q13MHT CET 2024 · 11 MAY · SHIFT 1Medium

Degrees of Freedom & Internal Energy

An insulated container contains a diatomic gas of molar mass ' m '. The container is moving with velocity ' VV ', if it is stopped suddenly, the change in temperature is ( R=R = gas constant)

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Answer: (b)

  1. Per mole: 12mV2=CvΔT\frac{1}{2}mV^2 = C_v\Delta T (no heat lost, insulated).
  2. Diatomic: Cv=52RC_v = \frac{5}{2}R.
  3. ΔT=mV25R\Delta T = \frac{mV^2}{5R}
  4. So the answer is (b) mV25R\frac{mV^2}{5R}.
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