At steady state a heat pump maintains the interior of a house at 770F by transferring to it 30 kW of heat from the ambient air, whose temperature is 150C. According to the electric bill, the heat pump utilizes 3,000 kW.h per month (30 days). Calculate: (a) The amount of heat the pump captures from the ambient air over that period of time in kJ; (b) The coefficient of performance of the heat pump; (c) The theoretical coefficient of performance, if the heat pump operated reversibly.