# What is the coefficient of performance of an ideal heat pump that extracts heat from 3.0^{\circ}C...

## Question:

What is the coefficient of performance of an ideal heat pump that extracts heat from {eq}3.0^{\circ}C {/eq} air outside and deposits heat inside a house at {eq}22^{\circ}C {/eq} ?

## Heat Pump:

The heat pump transfers the heat from the low temperature surrounding air, which is at non-utilizable temperature and transfers it to the high temperature inside of the house, which is at a utilizable temperature. The coefficient of performance is the unit less number, and which indicates the efficiency of the heat pump, therefore, higher the coefficient of performance is, higher will be the heating efficiency of the device. It is the ratio of energy produced by the device to the total energy consumed by the device.

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Given data:

• {eq}T_L =\rm 3.0^{\circ} C+273 \ K=276 \ K {/eq} is the temperature of the outside air
• {eq}T_H=\rm 22^{\circ} C+273 \ K=295 \ K {/eq}... Types of Heating & Cooling Systems

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Chapter 10 / Lesson 9
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You can choose from a number of different heating and cooling systems to make your home comfortable to live in. Watch this video to learn about the advantages and disadvantages of forced air, radiant heat, baseboard heat and geothermal systems.