If a 35.0 % -efficient Carnot heat engine (Active Fig. 18.1 ) is run in reverse so as to form a

step 1 In this problem, on the topic of heat engines entropy and the second law of thermodynamics, we a

If a 35.0 % -efficient Carnot heat engine (Active Fig. 18.1...

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Key Concepts

Reversibility of the Carnot Cycle

The Carnot cycle is a reversible cycle, meaning that if the processes are reversed, the same thermodynamic relationships apply in reverse. This reversibility implies that the temperature ratios used to determine the efficiency of a Carnot engine can be directly used to derive the performance characteristics, such as the COP, of a Carnot refrigerator operating between the same two reservoirs.

Coefficient of Performance (COP) for Refrigerators

The coefficient of performance is a measure of the effectiveness of a refrigerator, defined as the ratio of heat removed from the cold reservoir to the work input required for the refrigeration cycle. In the ideal Carnot refrigerator, the COP is expressed as COP = T_c/(T_h - T_c), showing that it too is directly determined by the absolute temperatures of the thermal reservoirs.

Carnot Efficiency

This concept refers to the maximum efficiency any heat engine can achieve operating between two thermal reservoirs, and it is determined solely by the temperatures of the hot and cold reservoirs. The efficiency for a Carnot engine is given by the formula ? = 1 - (T_c/T_h), demonstrating that efficiency depends entirely on the ratio of the absolute temperatures at which heat is absorbed and rejected.

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