Q$1.(25/100)$ The following exothermic reactor is traditionally cooled by jacket cooling water. $V_1$ is half open at nominal conditions $($control output $=25\%)$ and fully open at a control output $=50\%.$ In order to increase the cooling capacity, a heat exchanger was installed as shown in the figure below, with the objective of using heat exchanger cooling water flowrate as an additional control variable. Thus, the heat exchanger cooling water valve acts as a secondary manipulated variable, when jacket cooling water is not enough.

a$)$ Choose the necessary control strategy for temperature control in the reactor, and sketch the control structure using the appropriate conventions for identifying instrumentations and connections.

Control strategy you choose:

Sketch of your cortwol