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For an ideal regenerative Rankine cycle, as shown in the figure below, which one of the following options is the correct representation of temperature-entropy (T-s) diagram?

Regenerative Rankine cycle: pump 1-2, feed water heated in turbine coils 2-3, boiler 3-4, turbine 4-5, condenser 5-1

  • A.T-s with 4-5 parallel to liquid line 2-3
  • B.T-s with vertical expansion 4-5
  • C.T-s with vertical 1-2 to top temperature
  • D.T-s with 4-5 along the vapour dome

Answer: A

The correct T-s diagram is (A), in which the turbine expansion 4-5 runs parallel to the liquid heating line 2-3.

In the ideal regenerative cycle the feed water from the pump flows through coils in the turbine casing, counter to the steam. Heat passes reversibly from the expanding steam to the water across zero temperature difference, so at every temperature the heat the steam gives up equals the heat the water gains.

On the T-s diagram that makes the expansion curve 4-5 a mirror of the heating curve 2-3, shifted to the right by a constant entropy, so the two are parallel. Diagram (B) shows an isentropic, vertical expansion, which is the simple Rankine cycle without regeneration. Diagram (C) raises the water to the boiler temperature in the pump, which a pump cannot do, and diagram (D) expands along the vapour dome, which is not what internal heat exchange produces.

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