A car engine takes atmospheric air in at 70 F, no fuel, and exhausts the air at 0 F producing work in the process. What do the first and the second laws say about that?
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Energy Eq.: W = QH − QL = change in energy of air. OK
2nd law: Exchange energy with only one reservoir. NOT OK.
This is a violation of the statement of Kelvin-Planck.
Remark: You cannot create and maintain your own energy reservoir.