Consider a house with a floor space area of 180 m2 and average height of 2.7 m. The initial temperature of the house is uniform at 10°C. To maintain thermal comfort inside the house, an electric heater is turned on to raise the temperature to an average value of 22°C. a) Determine the amount of energy transferred to the air assuming no air escapes during the heating process. b) Determine the amount of energy transferred to the air assuming some air escapes through cracks as the heated air expands at-constant pressure. c) Determine the cost of heat for either case when the cost of electricity in the area is $0.075/kWh.