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The values of enthalpy at the beginning of compression, at the end of compression and at the end of condensation are 185 kJ/kg, 210 kJ/kg and 85 kJ/kg respectively. What is the value of the COP of the vapour compression refrigeration system?
- a)0·25
- b)5·4
- c)4
- d)1·35
Correct answer is option 'C'. Can you explain this answer?
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Given:
The values of enthalpy at the beginning of compression, at the end of compression, and at the end of condensation are 185 kJ/kg, 210 kJ/kg, and 85 kJ/kg respectively.
To find:
The value of the Coefficient of Performance (COP) of the vapor compression refrigeration system.
Solution:
The Coefficient of Performance (COP) of a vapor compression refrigeration system is given by the ratio of the desired effect (refrigeration effect) to the required work input (compressor work).
1. Refrigeration Effect:
The refrigeration effect in a vapor compression refrigeration system is the heat extracted from the refrigerated space and is given by the difference in enthalpy between the beginning of compression and the end of condensation.
Refrigeration Effect = Enthalpy at the beginning of compression - Enthalpy at the end of condensation
Refrigeration Effect = 185 kJ/kg - 85 kJ/kg
Refrigeration Effect = 100 kJ/kg
2. Compressor Work:
The work input to the compressor is the difference in enthalpy between the beginning and the end of compression.
Compressor Work = Enthalpy at the end of compression - Enthalpy at the beginning of compression
Compressor Work = 210 kJ/kg - 185 kJ/kg
Compressor Work = 25 kJ/kg
3. COP Calculation:
The COP is given by the ratio of the refrigeration effect to the compressor work.
COP = Refrigeration Effect / Compressor Work
COP = 100 kJ/kg / 25 kJ/kg
COP = 4
Therefore, the value of the Coefficient of Performance (COP) of the vapor compression refrigeration system is 4. Hence, the correct answer is option C (4).
The values of enthalpy at the beginning of compression, at the end of compression, and at the end of condensation are 185 kJ/kg, 210 kJ/kg, and 85 kJ/kg respectively.
To find:
The value of the Coefficient of Performance (COP) of the vapor compression refrigeration system.
Solution:
The Coefficient of Performance (COP) of a vapor compression refrigeration system is given by the ratio of the desired effect (refrigeration effect) to the required work input (compressor work).
1. Refrigeration Effect:
The refrigeration effect in a vapor compression refrigeration system is the heat extracted from the refrigerated space and is given by the difference in enthalpy between the beginning of compression and the end of condensation.
Refrigeration Effect = Enthalpy at the beginning of compression - Enthalpy at the end of condensation
Refrigeration Effect = 185 kJ/kg - 85 kJ/kg
Refrigeration Effect = 100 kJ/kg
2. Compressor Work:
The work input to the compressor is the difference in enthalpy between the beginning and the end of compression.
Compressor Work = Enthalpy at the end of compression - Enthalpy at the beginning of compression
Compressor Work = 210 kJ/kg - 185 kJ/kg
Compressor Work = 25 kJ/kg
3. COP Calculation:
The COP is given by the ratio of the refrigeration effect to the compressor work.
COP = Refrigeration Effect / Compressor Work
COP = 100 kJ/kg / 25 kJ/kg
COP = 4
Therefore, the value of the Coefficient of Performance (COP) of the vapor compression refrigeration system is 4. Hence, the correct answer is option C (4).
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The values of enthalpy at the beginning of compression, at the end of compression and at the end of condensation are 185 kJ/kg, 210 kJ/kg and 85 kJ/kg respectively. What is the value of the COP of the vapour compression refrigeration system?a)0·25 b)5·4 c)4 d)1·35Correct answer is option 'C'. Can you explain this answer?
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