Machine-translated by Google. Questions are authored in English.
Top

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:

  • A.7.5
  • B.6.5
  • C.4.0
  • D.3.0

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.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.