A small house that is kept at 20°C inside loses 12 kW to

Chapter 5, Problem 85HP

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QUESTION:

Problem 85HP

A small house that is kept at 20°C inside loses 12 kW to the outside ambient at 0°C. A heat pump is used to help heat the house together with possible electric heat. The heat pump is driven by a 2.5-kW motor, and it has a COP that is one-fourth that of a Carnot heat pump unit. Find the actual COP for the heat pump and the amount of electric heat that must be used (if any) to maintain the house temperature.

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QUESTION:

Problem 85HP

A small house that is kept at 20°C inside loses 12 kW to the outside ambient at 0°C. A heat pump is used to help heat the house together with possible electric heat. The heat pump is driven by a 2.5-kW motor, and it has a COP that is one-fourth that of a Carnot heat pump unit. Find the actual COP for the heat pump and the amount of electric heat that must be used (if any) to maintain the house temperature.

ANSWER:

Solution 85 HP

Step 1 of 7

We are required to coefficient of performance of heat pump and the amount of electric heat.

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