A NATO base in northern Norway is warmed with a heat pump that uses 7.0 °C ocean water as the cold reservoir. Heat extracted from the ocean water warms fluid to 80°C; this warmed fluid is used to heat the building. When the system is working at full capacity, 2,000 kW of heat is delivered to the building at the cost of 600 kW of electric energy. a. What is the actual coefficient of performance of the system? b. What is the theoretical maximum coefficient of performance of the system?

Question

Physics

Izaiah Andrade

23 June, 13:29

A NATO base in northern Norway is warmed with a heat pump that uses 7.0 °C ocean water as the cold reservoir. Heat extracted from the ocean water warms fluid to 80°C; this warmed fluid is used to heat the building. When the system is working at full capacity, 2,000 kW of heat is delivered to the building at the cost of 600 kW of electric energy. a. What is the actual coefficient of performance of the system? b. What is the theoretical maximum coefficient of performance of the system?

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Answers (1)

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Maddison Walsh · Answer 1

3.33, 4.84

Explanation:

A) Actual coefficient of performance can be calculated by the formula stated below

Actual COP = heat delivered / work required

Actual COP = 2,000/600

Actual COP = 3.33

B) Th = High temperature = 80°C + 273 = 353K

Tl = Low temperature = 7°C + 273 = 280K

The theoretical maximum coefficient of performance can ve calculated by the formula

Theoretical COP = Th / (Th-Tl)

Theoretical COP = 353 / (353-280)

Theoretical COP = 353/73

Theoretical COP = 4.84