Work done in cycle of a refrigerator (in Heat and Thermodynamics by Zemansky)

In summary, the work done in the cycle of a refrigerator involves the transfer of heat from a low-temperature reservoir to a high-temperature reservoir, facilitated by external work input. The refrigeration cycle consists of four main processes: compression, condensation, expansion, and evaporation. During these processes, the refrigerant absorbs heat from the interior of the refrigerator and releases it outside, while the compressor requires work to maintain the cycle. The efficiency of a refrigerator is often expressed using the coefficient of performance (COP), which relates the heat removed from the cold space to the work input. Understanding these principles is essential for analyzing and optimizing refrigeration systems.
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MatinSAR
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I caanot understand what is happnening in chapter 6 part 7. The book has two equations for work done in cycle of a refrigerator
1706368789698.png


I guess the first one is wrong.
Because in this cycle we have ##|Q_H| > |Q_L|## then ## |Q_L| - |Q_H| ## is negative and caanot be equal with ##|W|##.

Am I right?
 
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Yes.
 
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