Consider the model of the electrically heated stirred tank system Fig Q1. Subscript e refers to the heating element: mCpdtdT=wCp(TiT)+heAe(TeT)meCpedtdTe=QheAe(TeT) Fig Q1 Stirred tank heating process with constant holdup V a. Derive transfer functions relating changes in outlet temperature T to changes in the two input variables: heat input Q (assuming no change in inlet temperature) and inlet temperature Ti (for no change in heater input). [22mks] b. Show how these transfer functions are simplified when negligible thermal capacitance of the heating element (meCpe0) is assumed. [3mks]