1. [Mathematical Model] An engineer is requested to control the mixing system shown above. The system is mixed between hot stream at temperature TH with the flow rate FinHot and cold stream at temperature TC with flow rate FinCold into the reactor which temperature is T and volume V. Assumed that the mixing is perfect, the temperature T at any point in the reactor is similar to temperature going out from the reactor T. It is assumed that density, heat capacity are constant. From thermodynamic class you know that the the mixing temperature of hot and cold stream is laying in between cold and hot temperature TC