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NEET 2012 (AIPMT, Prelims) · P-V Diagrams & Cyclic Processes

P-V Diagrams & Cyclic Processes question from NEET 2012 (AIPMT, Prelims)

Q82NEET 2012 · AIPMT · PRELIMSMedium

P-V Diagrams & Cyclic Processes

One mole of an ideal gas goes from an initial state A to final state B via two processes: It first undergoes isothermal expansion from volume V to 3V and then its volume is reduced from 3V to V at constant pressure. The correct P-V diagram representing the two process is

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Answer: (d)

  1. Isothermal expansion from VV to 3V3V: P∝1VP \propto \frac{1}{V}, so pressure falls along a hyperbola from A.
  2. Then compression from 3V3V to VV at constant pressure: a horizontal line moving left at the lower pressure, ending at B below A.
  3. Only graph (d) shows a falling curve from A to 3V3V followed by a horizontal line back to VV.
  4. So the answer is (d).
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