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Sub-cooling with regenerative heat exchanger is used in a refrigeration cycle. The enthalpies at condenser outlet and evaporator outlet are 78 and 182 kJ/kg respectively. The enthalpy at outlet of isentropic compressor is 230 kJ/kg and enthalpy of subcooled liquid is 68 kJ/kg. The COP of the cycle is:
  • a)
    3.25  
  • b)
    2.16  
  • c)
    3.0    
  • d)
    3.5
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Sub-cooling with regenerative heat exchanger is used in a refrigeratio...
The answer is b.
C.O.P = (182-68) / (230-182) = 2.375 << 2.16
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Sub-cooling with regenerative heat exchanger is used in a refrigeratio...
Given:
Enthalpy at condenser outlet (h1) = 78 kJ/kg
Enthalpy at evaporator outlet (h2) = 182 kJ/kg
Enthalpy at compressor outlet (h3) = 230 kJ/kg
Enthalpy of subcooled liquid (h4) = 68 kJ/kg

To find:
Coefficient of performance (COP) of the cycle

Solution:
1. Calculation of sub-cooling:
The sub-cooling in the cycle can be calculated as
Δhsc = h4 – h1
Δhsc = 68 – 78 = -10 kJ/kg (negative sign indicates sub-cooling)

2. Calculation of regeneration factor:
The regeneration factor (R) is given by
R = (h3 – h2) / (h3 – h1)
R = (230 – 182) / (230 – 78)
R = 0.5

3. Calculation of COP:
The COP of the cycle is given by
COP = (h2 – h1) / (h3 – h2 + R * (h3 – h1) – Δhsc)
COP = (182 – 78) / (230 – 182 + 0.5 * (230 – 78) – (-10))
COP = 3.0

Therefore, the coefficient of performance (COP) of the cycle is 3.0. Hence, option (c) is the correct answer.
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Sub-cooling with regenerative heat exchanger is used in a refrigeration cycle. The enthalpies at condenser outlet and evaporator outlet are 78 and 182 kJ/kg respectively. The enthalpy at outlet of isentropic compressor is 230 kJ/kg and enthalpy of subcooled liquid is 68 kJ/kg. The COP of the cycle is:a)3.25 b)2.16 c)3.0 d)3.5Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Sub-cooling with regenerative heat exchanger is used in a refrigeration cycle. The enthalpies at condenser outlet and evaporator outlet are 78 and 182 kJ/kg respectively. The enthalpy at outlet of isentropic compressor is 230 kJ/kg and enthalpy of subcooled liquid is 68 kJ/kg. The COP of the cycle is:a)3.25 b)2.16 c)3.0 d)3.5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sub-cooling with regenerative heat exchanger is used in a refrigeration cycle. The enthalpies at condenser outlet and evaporator outlet are 78 and 182 kJ/kg respectively. The enthalpy at outlet of isentropic compressor is 230 kJ/kg and enthalpy of subcooled liquid is 68 kJ/kg. The COP of the cycle is:a)3.25 b)2.16 c)3.0 d)3.5Correct answer is option 'C'. Can you explain this answer?.
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