The efficiency of a Rankine cycle can be improved by _______.

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JKSSB JE Mechanical 02 Nov 2021 Shift 1 Official Paper
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  1. increasing the temperature at which heat is supplied and increasing the temperature at which heat is rejected
  2. decreasing the temperature at which the heat is supplied and decreasing the temperature at which the heat is rejected
  3. increasing the temperature at which heat is supplied and decreasing the temperature at which the heat is rejected
  4. decreasing the temperature at which heat is supplied and increasing the temperature at which the heat is rejected 

Answer (Detailed Solution Below)

Option 3 : increasing the temperature at which heat is supplied and decreasing the temperature at which the heat is rejected
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Detailed Solution

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Concept:

Lowering the condenser pressure

 

F4 Sumit Madhu 20.08.20 D2

  • The temperature of heat rejection for cycle 1–2–3–4–1 condensing at atmospheric pressure is 100°C.  The temperature of heat rejection for the lower pressure cycle 1–2”–3”–4”–1 is correspondingly lower, so this cycle has the greater thermal efficiency.
  • It follows that decreasing the condenser pressure tends to increase the thermal efficiency.

Superheating the steam to high temperatures

F4 Sumit Madhu 20.08.20 D3

  • The cycle with superheat (1’–2’–3–4–1’) has a higher average temperature of heat addition than the cycle without superheating (1–2–3–4–1), so the thermal efficiency is increased.

Increasing the boiler pressure

F4 Sumit Madhu 20.08.20 D4

  • The average temperature of heat addition is seen to be greater for the higher-pressure cycle 1’–2’–3–4’–1’ than for cycle 1–2–3–4–1.
  • It follows that increasing the boiler pressure of the ideal Rankine cycle tends to increase thermal efficiency.

Regenerative feed water heating​

F4 Sumit Madhu 20.08.20 D5

  • With regenerative feed water heating, the working fluid would enter the boiler at a state between 4 and 7. As a result, the average temperature of heat addition would be increased, thereby tending to increase the thermal efficiency.
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