Discussion
An industrial heat pump operates between the temperature of 27°C and -13°C. The rates of heat addition and heat rejection are 750W and 1000W, respectively. The COP for the heat pump is:
Answer: C
The COP of the heat pump is 4.0.
A heat pump's COP is the heat delivered to the hot side divided by the work input. The work is the difference between heat rejected and heat added:
\[ \begin{aligned} W &= 1000 - 750 = 250\ \text{W} \\ COP_{HP} &= \frac{1000}{250} = 4.0 \end{aligned} \]
7.5 is the Carnot COP, \(300/40\), for these temperatures, an upper limit rather than the actual value. 3.0 is \(750/250\), the COP if the machine were judged as a refrigerator. 6.5 does not follow from the data.
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