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.

Answer and Explanation:

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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}...

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