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MHT CET 2025 (26 Apr, Shift 2) · P-V Diagrams & Cyclic Processes

P-V Diagrams & Cyclic Processes question from MHT CET 2025 (26 Apr, Shift 2)

Q21MHT CET 2025 · 26 APR · SHIFT 2Medium

P-V Diagrams & Cyclic Processes

An ideal gas taken through a process ABCA as shown in figure. If the net heat supplied to gas in the cycle is 5 J, then the work done by the gas in process from C to A is

Figure

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Answer: (a)

  1. For a cycle ΔU=0\Delta U = 0, so net work =WAB+WBC+WCA=Qnet=5= W_{AB} + W_{BC} + W_{CA} = Q_{net} = 5 J.
  2. A to B: constant P=10P = 10 N m−2^{-2}, volume from 1 m3^3 to 2 m3^3: WAB=10×1=10W_{AB} = 10 \times 1 = 10 J.
  3. B to C: volume constant, WBC=0W_{BC} = 0.
  4. WCA=5−10−0=−5W_{CA} = 5 - 10 - 0 = -5 J
  5. So the answer is (a) −5-5 J.
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