Problem 4.12 - Home Air Conditioner and Hot Water System with an Internal Heat Exchanger

We wish to do a preliminary thermodynamic evaluation of the following proposed heat pump system designed for summertime hot water heating and space cooling.

Notice that this system uses a heat exchanger to subcool the refrigerant at the outlet of the hot water heater while heating the refrigerant at the outlet of the evaporator. This is intended to serve the dual purpose of increasing the both the hot water heating and air cooling capacity of the system

.Using the conditions shown on the diagram