Q#$2$: Consider the flow diagram for a heat exchanger.

a$)$ Plot a block diagram by labeling all signals and transfer

functions for given equipmants and instrumentations in the

figure.

b$)$ What is the sign of process gain? Why?

c$)$ Should the control valve be fail$-$open or fail$-$closed? Why?

d$)$ Based on your control valve selection, is the action of the

controller direct or reverse? Briefly explain your reasoning.

e$)$ Calculate the offset to a step change in the setpoint with a

P$-$only controller for the following process. Is this a result you expected or not? Briefly explain.

$G_P(s)=\frac{1}{s(5s+1)}$