Your geothermal heat pump is used to heat your house in the winter. The heat pump is operated as a vapor-compression cycle. The design is such that there must be a 10 degree temperature difference between the condenser and house and the evaporator and earth. You desire to maintain your house at a comfortable 70 F, while the temperature of the earth is 50 F. a) Draw and label arrows for W, QH, and Qc. Label the temperatures in the condenser and evaporator, too. Throttle Valve 4 1 House Condenser Evaporator Earth 3 Compressor 2 b) What would the performance factor be for a Carnot heat pump using the same temperatures for the condensor and evaporator as found in part (a). (c) For the cycle shown in part (a), the performance factor is 8.8. The house loses heat to the surroundings through the walls and the roof at a rate of Q = 600 (Thouse -T.) Where T. is the temperature of the J SK W surroundings outside. For a heat pump that requires 4000 W of work, what is the lowest T. for which the heat pump can keep the house at a comfortable Thouse 70 F?