Q6: Optional pressure-measuring device has been analyzed and can be described by a model with the structure shown in the figure below. In other words, the device responds to pressure changes as if it were a first-order process in parallel with a second-order process. Preliminary tests have shown that the gain of the first-order process is 3%/psi and the time constant equals 20 min, as in the figure. An additional test is made on the overall system. The actual output Pm (not Pm) resulting from a step change in P from 2 to 4 psi is also plotted in the figure. (a) Determine Q' (t) R's) K 7292 +268 +1 (b) What are the values of K, T, and 6? P's)- Pm (s) (c) What is the overall transfer function for the measurement devices Pn(s)/P'(s)? -3 20s + 1 Q'ls) (d) Find an expression for the overall process gain. 30 x 26 (e) Find the poles and zeros of the overall transfer function and explain the step response shown in the figure. 22 Pm (%) 18 (f) Does this process show an inverse response? Why or why not? X 14 10L 0 20 80 100 40 60 Time (min)