A completely reversible refrigerator is driven by a 10-kW...

A completely reversible refrigerator is driven by a 10-kW compressor and operates with thermal energy reservoirs at $250 \mathrm{~K}$ and $300 \mathrm{~K} .$ Calculate the rate of cooling provided by this refrigerator. Answer: $50 \mathrm{~kW}$

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Key Concepts

Coefficient of Performance (COP) for Refrigerators

The COP is a measure of a refrigerator’s efficiency and is defined as the ratio of the cooling effect (heat removed from the cold reservoir) to the work input. It provides insight into how effectively a refrigeration system uses energy.

Carnot Refrigerator

A Carnot refrigerator is an idealized system that operates in a completely reversible process. It establishes the maximum possible COP for given thermal reservoirs, meaning it sets the theoretical upper limit on the performance of any real refrigerator operating between the same two temperatures.

Reversible Processes

Reversible processes are ideal processes that proceed infinitely slowly, allowing the system and its surroundings to return to their original states without any net change. They are used as benchmarks in thermodynamics to determine the maximum efficiency or performance achievable in practical applications.

Energy Conservation in Thermodynamic Systems

The principle of energy conservation, embodied in the first law of thermodynamics, ensures that the work input to a refrigerator is directly related to the heat removed from the cold reservoir and the heat rejected to the hot reservoir. This balance is crucial for analyzing and calculating the performance of refrigeration cycles.

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