Exercises 101 made on the overall system. The actual output P (not Pm) resulting from a step change in P from 4 to 6 psi is plotted in Fig. E6.7b. R'(s) + 25ts +1 P'(s)- >Pm(s) +, -3 20s + 1 Q'(s) Figure E6.7a 30 22 Pm (%) 18 х 14 10 40 60 80 100 Time (min) Figure E6.7b (a) Determine Q'(t). (b) What are the values of K, t, and 7? (c) What is the overall transfer function for the measurement device P(s)/P'(s)? (d) Find an expression for the overall process gain. A L1 d: 6.7 A pressure-measuring device has been analyzed and can be described by a model with the structure shown in Fig. E6.7a. 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 and the time constant equals 20 min, as shown in Fig. E6.7a. An additional test is 20 26

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Exercises 101
made on the overall system. The actual output P (not Pm)
resulting from a step change in P from 4 to 6 psi is plotted in
Fig. E6.7b.
R'(s)
+ 25ts +1
P'(s)-
>Pm(s)
+,
-3
20s + 1
Q'(s)
Figure E6.7a
30
22
Pm (%)
18
х
14
10
40
60
80
100
Time (min)
Figure E6.7b
(a) Determine Q'(t).
(b) What are the values of K, t, and 7?
(c) What is the overall transfer function for the measurement
device P(s)/P'(s)?
(d) Find an expression for the overall process gain.
A L1 d:
6.7 A pressure-measuring device has been analyzed and
can be described by a model with the structure shown in
Fig. E6.7a. 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 and the time constant
equals 20 min, as shown in Fig. E6.7a. An additional test is
20
26
Transcribed Image Text:Exercises 101 made on the overall system. The actual output P (not Pm) resulting from a step change in P from 4 to 6 psi is plotted in Fig. E6.7b. R'(s) + 25ts +1 P'(s)- >Pm(s) +, -3 20s + 1 Q'(s) Figure E6.7a 30 22 Pm (%) 18 х 14 10 40 60 80 100 Time (min) Figure E6.7b (a) Determine Q'(t). (b) What are the values of K, t, and 7? (c) What is the overall transfer function for the measurement device P(s)/P'(s)? (d) Find an expression for the overall process gain. A L1 d: 6.7 A pressure-measuring device has been analyzed and can be described by a model with the structure shown in Fig. E6.7a. 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 and the time constant equals 20 min, as shown in Fig. E6.7a. An additional test is 20 26
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