Question$-5$

An open$-$loop unstable chemical reactor is known to have a process transfer function with the following form, where the manipulated input is the coolant flow rate $($liters$/$minute$)$ and the measured process output is the reactor temperature $(C)$ :

$g_p(s)=\frac{k_p}{(-n+1)(s+1)}$

When a P$-$only controller, with a value $k_c=-3lp\frac{m}{}C,$ is used, the response to a unit setpoint change is shown below.