One-half pound of water executes a carnot power cycle. during the isothermal expansion, the water is heated at 600°f from a saturated liquid to a saturated vapor. the vapor then expands adiabatically to a temperature of 90°f and a quality of 64.3%. (b) evaluate the heat and work for each process, in btu. (c) evaluate the thermal efficiency.

Aheat pump with refrigerant-134a as the working fluid is used to keep a space at 25°c by absorbing heat from geothermal water that enters the evaporator at 500c at a rate of 0.065 kg/s and leaves at 40°c. the refrigerant enters the evaporator at 20°c with a quality of 23 percent and leaves at the inlet pressure as saturated vapor. the refrigerant loses 300 w of heat to the surroundings as it flows through the compressor and the refrigerant leaves the compressor at 1.4 mpa at the same entropy as the inlet. determine: (a) the degrees of subcooling of the refrigerant in the condenser, b)-the mass flow rate of the refrigerant . (c) the heating load and the cop of the pump, and d)-the theoretical minimum power input to the compressor for the same heating load.