Question 4 1 pts Mark lives in a house in a mountainous region high above sea level. The typical atmospheric pressure in his house is around 0.8 atm, and the total volume of air in the house is about 500 m. On a cold winter day when the temperature outside is about 5C, Mark is running his house's heating system and maintaining the temperature inside the house at a 71F. Because the house's insulation isn't perfect, thermal energy seeps out of the house at a rate of about 3.7kW, so the heating system must add heat to the inside of the house at this rate to maintain a fixed temperature. Assume for simplicity that the volume of air in his house remains constant while he's running the heating system. Mark recently transitioned his heating system to a heat pump system those coefficient of performance is about 3.1. The heat pump system runs on electricity, and in his area, he pays $0.32 /kWh for electricity. If the conditions inside an outside of his house remain as described for and entire month (thirty days), roughly how much in dollars would Mark's heating costs contribute to his monthly electric bill