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MHT CET 2024 (11 May, Shift 2) · P-V Diagrams & Cyclic Processes

P-V Diagrams & Cyclic Processes question from MHT CET 2024 (11 May, Shift 2)

Q38MHT CET 2024 · 11 MAY · SHIFT 2Difficult

P-V Diagrams & Cyclic Processes

The p−V\mathrm{p} - \mathrm{V} diagram for a fixed mass of an ideal gas undergoing cyclic process is as shown in figure. AB represents isothermal process and CA represents adiabatic process. Which one of the following graphs represents the p-T diagram of this cyclic process?

Figure

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Answer: (d)

TPABCisothermalisobaricadiabatic
  1. AB isothermal: TT constant while PP falls, so AB is a vertical line on the P-T graph.
  2. BC isobaric: PP constant, so BC is a horizontal line.
  3. CA adiabatic: P∝Tγ/(γ−1)P \propto T^{\gamma/(\gamma-1)}, a rising curve (not a straight line), which rules out the straight-line triangles (G) and (H).
  4. (F) puts C on the constant-TT line through A, which is wrong; (E) has AB at constant TT, BC at constant PP and a curved CA.
  5. So the answer is (d) (E).
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