Coefficient of performance for a refrigerator

In summary, the problem presents a scenario where a refrigerator needs to achieve a temperature of -10°C in the freezer area while the external temperature is 25°C. The COP for refrigerators is given by T(low) / [T(high)-T(low)]. Using this equation, a calculation is made and a COP of 7.5 is obtained, which may seem high. This is because the stated COP is already at 50% of the Carnot limit, meaning it is already at a lower value than the ideal Carnot COP. Therefore, the calculated COP is not incorrect.
  • #1
rmjmu507
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Homework Statement



The COP for heat pumps and refrigerators achieved in the industry is almost 50% of the Carnot limit. Make estimates for the following case:

For refrigerator to achieve -10°C in the freezer area with an external temperature of 25°C

Homework Equations



COP for refrigerator = T(low) / [T(high)-T(low)]

The Attempt at a Solution



Using this equation, I find that the COP is 7.5, but this seems high. Where have I made a mistake?
 
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  • #2
You calculated the Carnot COP but the problem statement says..

rmjmu507 said:
The COP for heat pumps and refrigerators achieved in the industry is almost 50% of the Carnot limit
 

What is the coefficient of performance for a refrigerator?

The coefficient of performance (COP) for a refrigerator is a measure of its efficiency in converting electrical energy into cooling power. It is defined as the ratio of the amount of heat removed from the refrigerator (Qc) to the amount of work done by the compressor (W). A higher COP indicates a more efficient refrigerator.

How is the coefficient of performance calculated?

The coefficient of performance for a refrigerator is calculated by dividing the heat removed from the refrigerator (Qc) by the work done by the compressor (W). The formula for COP is COP = Qc / W. The COP can also be calculated by taking the ratio of the absolute temperatures of the refrigerated space (Tc) and the surrounding environment (Th), where COP = Tc / (Th - Tc).

What factors affect the coefficient of performance for a refrigerator?

Several factors can affect the coefficient of performance for a refrigerator. These include the design and efficiency of the compressor, the type and amount of refrigerant used, the temperature difference between the refrigerated space and the surrounding environment, and the insulation and sealing of the refrigerator.

What is a good coefficient of performance for a refrigerator?

A good coefficient of performance for a refrigerator is typically considered to be above 3. This means that for every unit of work done by the compressor, at least 3 units of heat are removed from the refrigerator. However, the actual COP can vary depending on the specific design and efficiency of the refrigerator.

How can the coefficient of performance be improved for a refrigerator?

The coefficient of performance for a refrigerator can be improved by using a more efficient compressor, choosing a refrigerant with a higher COP, reducing the temperature difference between the refrigerated space and the surrounding environment, and ensuring good insulation and sealing of the refrigerator. Regular maintenance and proper usage can also help improve the COP of a refrigerator.

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