At steady state, a reversible heat pump cycle discharges energy at the rate to a hot reservoir at temperature TH, while receiving energy at the rate 2c from a cold reservoir at temperature Tc. (a) If TH = 21C and TC = 7C, determine the coefficient of performance. (b) 2# =10.5kW, Qc=8.75kW, and TC = 1C, determine the minimum T, in C (c) If the coefficient of performance is 11 and TH = 27C, determine Tc, in C. (d) Determine the power needed to operate the heat pump of COP equal to 9.6 to warm up a room to 21 Celsius if the power to the room is 20kW