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MHT CET 2025 (20 Apr, Shift 2) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2025 (20 Apr, Shift 2)

Q75MHT CET 2025 · 20 APR · SHIFT 2Medium

Thermodynamic Processes

The change in the internal energy of the mass of gas, when the volume changes from V to 2 V at constant pressure P is (γ=CpCv)\left(\gamma = \frac{C_p}{C_v}\right)

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Answer: (d)

  1. ΔU=nCvΔT=nRΔTγ−1\Delta U = nC_v\Delta T = \dfrac{nR\Delta T}{\gamma - 1}
  2. At constant pressure nRΔT=PΔV=P(2V−V)=PVnR\Delta T = P\Delta V = P(2V - V) = PV.
  3. ΔU=PVγ−1\Delta U = \dfrac{PV}{\gamma - 1}, so the answer is (d).
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