Given the following second order parameters for a cascade reactor, where the output represents the change in the reactor temperature (°C) and the input is the change in flow rate (%).

The second order transfer function is of the form: G= Ke-9s (T₂S + 1)(T₂S + 1) Where: • Gain K= 6.5°C/% • Time constant 1 and 2-50 sec • Dead time (0)= 1.8 sec Questions: 1. For a setpoint temperature of 75 °C and a proportional control of gain K= -2.7, build the closed loop system of the process (30 points).