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The enthalpies at the beginning of compression, at the end of compression and at the end of condensation are respectively 185 kJ/kg, 210 kJ/kg and 85 kJ/kg. The COP of the vapour compression refrigeration system is
  • a)
    0.25  
  • b)
    5.4    
  • c)
    4    
  • d)
    1.35 
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The enthalpies at the beginning of compression, at the end of compress...
Given:
Enthalpy at the beginning of compression (h1) = 185 kJ/kg
Enthalpy at the end of compression (h2) = 210 kJ/kg
Enthalpy at the end of condensation (h3) = 85 kJ/kg

To find:
Coefficient of Performance (COP) of the vapor compression refrigeration system

Solution:
The coefficient of performance (COP) of a refrigeration system is defined as the ratio of the desired effect (cooling effect) to the required work input. Mathematically, it can be expressed as:

COP = (Cooling effect)/(Work input)

Step 1: Determining the cooling effect:
The cooling effect of the refrigeration system can be determined by the enthalpy difference between the beginning of compression and the end of condensation.

Cooling effect (Qc) = h1 - h3

Step 2: Determining the work input:
The work input can be determined by the enthalpy difference between the beginning and end of compression.

Work input (W) = h2 - h1

Step 3: Calculating the COP:
Using the above values, we can now calculate the COP of the refrigeration system.

COP = Qc/W

Substituting the values,

COP = (h1 - h3)/(h2 - h1)

COP = (185 - 85)/(210 - 185)

COP = 100/25

COP = 4

Therefore, the coefficient of performance (COP) of the vapor compression refrigeration system is 4.
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The enthalpies at the beginning of compression, at the end of compression and at the end of condensation are respectively 185 kJ/kg, 210 kJ/kg and 85 kJ/kg. The COP of the vapour compression refrigeration system isa)0.25 b)5.4 c)4 d)1.35Correct answer is option 'C'. Can you explain this answer?
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