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

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SUMMARY

The discussion centers on the thermodynamic cycle of a refrigerator as described in "Heat and Thermodynamics" by Zemansky. It is established that in this cycle, the heat absorbed from the hot reservoir (|Q_H|) is greater than the heat expelled to the cold reservoir (|Q_L|), leading to a negative value for |Q_L| - |Q_H|. Consequently, this value cannot equal the work done (|W|) in the cycle, confirming the initial assertion as incorrect.

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MatinSAR
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TL;DR
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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