A dairy farmer needs to heat a 0.1-kg/s flow of milk from room temperature, 20◦C, to 60◦C in order to pasteurize it and then send the flow through a cooler, bringing it to 10◦C for storage. He wants to buy a heat pump to do this and finds one using R-134a with a high pressure of 3 MPa and a low pressure of 300 kPa. The farmer is very clever and uses the heat pump to heat the milk in a heat exchanger, after which the milk flows through the evaporator’s heat exchanger to cool it. Find the power required to run the heat pump so that it can do both the heating and the cooling, assuming milk has the properties of water. Is there any excess heating or cooling capacity? What is the total rate of exergy destruction attained by running this system?