Archived Coefficient of performance for a refrigerator

AI Thread Summary
The discussion revolves around calculating the coefficient of performance (COP) for a refrigerator operating at -10°C with an external temperature of 25°C. The formula used is COP = T(low) / [T(high) - T(low)], which yielded a COP of 7.5. However, this value is questioned as being too high, considering that industry standards achieve only about 50% of the Carnot limit. Participants highlight the discrepancy between the calculated Carnot COP and the practical COP limits in real-world applications. The conversation emphasizes the importance of understanding the difference between theoretical calculations and actual performance in refrigeration systems.
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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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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
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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