A house is maintained at a temperature of 20oC by a heat pump pumping heat from the atmosphere. Heat transfer rate through the wall and roof is estimated at 0.6 kW per unit temperature difference between inside and outside.
(a) If the atmospheric temperature is -10oC, what is the minimum power required to drive the pump?
(b) It is proposed to use the same pump to cool the house in the summer. For the same room temperature, the same heat transfer rate, and the same power input to the pump, determine the maximum permissible atmospheric temperature.
(c) What-if Scenario: What would the answer in part (b) be if the heat transfer rate between the house and outside were estimated at 0.7 kW per unit temperature difference?