Calculating Efficiency of a Heat Engine with COP = 5.0 and 25kJ Heat Removal

AI Thread Summary
The discussion centers on calculating the efficiency of a heat engine with a coefficient of performance (COP) of 5.0, which removes 25 kJ of heat from a cold reservoir. The relationship between heat removed (QL), work done (W), and heat added (QH) is emphasized, with W calculated as 5 kJ. It is clarified that QH is not equal to QL, and conservation of energy principles should be applied to relate these quantities. The correct formula for efficiency is stated as e = W/QH. Understanding these relationships is crucial for accurately determining the engine's efficiency.
kasse
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Homework Statement



A machine with COP = 5.0 removes 25kJ of heat from a cold reservoar. If the machine is reversible and driven the other way as a heat engine, what is the efficiency?

The Attempt at a Solution



COP = QL/W --> W = 5kJ

e = QH/W

Is QH the same as QL som that e = 20%
 
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Hi kasse,

No, I don't believe that Q_H and Q_L are the same. Using conservation of energy, you can find out how Qh, QL, and W are related. What do you get?

Also, your efficiency formula needs to be:

<br /> e=\frac{W}{Q_H}<br />
 
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