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

ISBN: 9781118131992 58

## Solution for problem 85HP Chapter 5

Fundamentals of Thermodynamcs | 8th Edition

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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.

Step-by-Step Solution:

Solution 85 HP

Step 1 of 7</p>

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

Step 2 of 7</p>

Temperature at which the house to be maintained, K

Temperature of the outside ambient,K

Power input of heat pump is,  kW

Step 3 of 7</p>

The coefficient of performance of actual pump is given by

Step 4 of 7</p>

The coefficient of performance of  is given by

Now,

kW

Step 5 of 7

Step 6 of 7

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