Refrigerator cycles have been developed for heating buildings. Heat is absorbed

Question

Refrigerator cycles have been developed for heating buildings. Heat is absorbed from the earth by a fluid circulating in buried pipes and heat is delivered at a higher temperature to the interior of the building. If a cCarnot refrigerator were available for use in this way, operating between an outside temperature of 0C and an interior temperature of 20C, how many kilowatt-hours of heat would be supplied to the building for every kilowatt-hour of electrical energy needed to operate the refrigerator?

Explanation / Answer

Here,

Th = 20 degree C

Th = 293 K

Tc = 0 degree C

Tc = 273 K

for W = 1 kW.h

for Qc

(Th - Tc)/Tc = W/(Qc)

(293 - 273)/273 = 1/(Qc)

solving for Qc

Qc = 13.65 kWh

heat supplied to the cold room = 13.65 + 1 = 14.65 kWh

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