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A heat transfer requires a temperature difference, see chapter 4, to push the Q.. What implications do that have for a real heat engine? A refrigerator?

Answer»

This means that there are temperature differences between the source of energy and the working substance so TH is smaller than the source temperature. This lowers the maximum possible efficiency. 

As heat is rejected the working substance must have a higher temperature TL than the ambient receiving the QL, which lowers the efficiency further.

For a refrigerator the high temperature must be higher than the ambient to 

which the QH is moved. Likewise the low temperature must be lower than the cold space temperature in order to have heat transfer from the cold space to the cycle substance. So the net effect is the cycle temperature difference is larger than the reservoir temperature difference and thus the COP is lower than that estimated from the cold space and ambient temperatures.



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