A heat pump with refrigerant-134a as the working fluid is used to keep a space at 25 degrees C by absorbing heat from geothermal water that enters the evaporator at 50 degrees C at a rate of 0.046 kg/s and leaves at 40 degrees C. Refrigerant enters the evaporator at 12 degrees C with a quality of 15 percent and leaves at the same pressure as saturated vapor. If the compressor consumes 1.3 kW of power, determine (a) the mass flow rate of the refrigerant (b) the rate of heat supply (c) the COP (d) the minimum power input to the compressor for the same rate of heat supply.