Consider two stirred tank heating systems in Figure 1. Liquid flowrate, F remain constant at their steady state value. It is desired to maintain temperature T3 at the desired set point value using the steam flowrate, Q as the manipulated variable. The inlet temperature, TI can be considered as a disturbance variable in this process. Figure 1: Stirred tank heating system The mathematical models describing the process in Tank 1 and Tank 2 are presented as follows: T2(s)=4s+13T1(s)+5s+10.5Q(s)T3(s)=8s+22T2(s) The transfer functions for the temperature sensor and control valve are shown below: Gm=Km=1Gv=0.8 (a) Determine the range of Kc values that result in a stable closed loop system using P controller