A carnot heat pump is used to heat a house. the outside temperature is -3°c and the indoor temperature is 27°c. if the heat loss from the house is 40kw, the power required to operate the heat pump is
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The power required to operate the heat pump is 4.44 kW
The COP of Carnot heat pump is given as
n=T_high/(T_high-T_low )=(heat supplied)/(Heat supplied-heat loss)
Plugging the values in the above equation
300/(300-270)=Q/(Q-40)
Q=44.44 kW
Now the power required to operate the heat pump
Power=Heat supplied-Heat loss
P=44.44-40=4.44 kW
Therefore the power required is 4.44 kW
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