5. Consider the following stirred tank henting system used to heat liquid water: -omenmu uagrarm or a temperature leedback control system lot a stirred-tark, heater. "Electrical instrument line; TT, lemperature transmitser; TC, temperature controllar. The volume of the water, V, in the tank is constant equal to 500 liters, and the mass flow rate of water in and out, w, is constant equal to 100kg/min. Following properties of liquid water may be assumed constant: density =996kg/m3, specific heat C=4.18 kJ/kgK. Initially, the process is operating at steady state with Tiss=10C, and Qs= 15000kJ/min. In terms of these variables the process transfer function is given as T(s)/Q(s)=esK/(s+1) where K=(1/wC),=(V)/w A closed loop feedback control system is designed to control the temperature in the tank (T) with heat supplied by the heater (Q) as the manipulated variable and temperature of the inlet stream (Ti) as the disturbance variable. There is a transducer between the controller and heater that converts the controller output signal p(t) to heat input signal Q(t). The transfer function of the transducer GTr=Q(s)/P(s)=wC. TT is the temperature transmitter with transfer function GT=1. (a) Draw a closed-loop block diagram for the feedback control system. (b) Use the direct synthesis method with c=1min and time delay =1min, and determine the controller parameters Kc,I and D