C. A heat pump absorbs 100 J of heat from a cool reservoir and releases 120 J of heat to a hot reservoir.
In order to operate, a heat engine must reject some of the heat it receives from the high-temperature source to a low-temperature sink.
A heat engine that violates the second law converts 100 percent of this heat to work. This is physically impossible. This heat engine violates the second law of thermodynamics.
The second law can also be stated as no heat engine can have a thermal efficiency of 100 percent.
The thermal efficiency of a heat engine is defined as the ratio of the work output to the heat input:
Clearly, if the thermal efficiency of a heat engine is 100 percent,
Qin=Wout
If the second law precludes a heat engine from having a thermal efficiency of 100 percent. A heat engine is a device that converts a portion of the heat supplied to it from a high-temperature source into work. The remaining heat is rejected to a low-temperature sink.
Therefore:
A heat pump absorbs 100 J of heat from a cool reservoir and releases 120 J of heat to a hot reservoir.
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