The rate of heat addition and rejection in a industrial heat pump is 750 kW and 1000 kW respectively. If the heat pump operates between 30°C and 15°C. The COP for heat pump is

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  1. 3
  2. 4
  3. 6.5
  4. 7.5

Answer (Detailed Solution Below)

Option 2 : 4
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Detailed Solution

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Concept:

As there is no mention that it works on the Carnot cycle, therefore the COP of Heat Pump is given by,

\(COP = \frac{{Heat\;rejection}}{{Heat\;rejection - Heat\;addition}}\)

Calculation:

Given:

Qadd = 750 kW, Qrej = 1000 kW, TH = 30°C, TL = 15°C 

∴ \(COP~=~\frac{1000}{1000-750}\)

COP = 4

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