Problem 3.4
Derive Laplace transforms of the input signals shown
component functions found in Table 3.1.
in Figs. E3.4a and E3.4b, by
summing
Solution:
Part 1: Figure E3.4a
f ( t )=5 S ( t ) 4 S ( t2 )S (t6)
Taking the Laplace Transform:
5 4
e6 s
F ( s )=

A surge tank system is to be installed as part of a pilot plant facility. The initial proposal calls for the configuration shown
in Fig. 4.3. Each tank is 5 ft. high and 3 ft. in diameter. The design flow rate is q i = 100 gal/min.
It has been suggested t

Problem 1 (Textbook Problem 2.3)
Two tanks are connected together in the following unusual way in Fig. E2.3
(a) Develop a model of this system that can be used to find h1, h2, w2, and w3.
Solution:
Tank 1 mass change:
dm
=w1w2w3
dt
m=V = A 1 h1
h1, final

Problem 1: (Textbook problem 2.10)
Irreversible consecutive reactions
A k1 B k 2 C
occur in a jacked, stirred-tank reactor as shown in Fig. E2.10. Derive a
dynamic model based on the following assumptions:
(i)
The contents of the tank and cooling jacket a

Problem 1:
Consider the data in the textbook Example 7.1 on page 117: An experiment has been performed to determine the steadystate power delivered by a gas turbine-drive generator as a function of the fuel flow rate, and the following results were
collec

1a)
Identify the control objectives, the available measurement and manipulated variables. What are the external
disturbances? Is this a single input and single output system?
The control objective of this system is the desired temperature of the Burchard

Textbook Problem 6.2:
The following transfer function is not written in a standard form:
G ( s )=
2( s+ 0.5)
e5 t
(s+2)(2 s+ 1)
(a) Put it in standard gain/time constant form.
G ( s )=
2( s+ 0.5)
2 s+1
1
0.5
e5 t
e5 t
e5 t
e5 t
(s+2)(2 s+ 1)
0.5 s+1
(

Problem 3.4
Derive Laplace transforms of the input signals shown
component functions found in Table 3.1.
in Figs. E3.4a and E3.4b, by
summing
Solution:
Part 1: Figure E3.4a
f ( t )=5 S ( t ) 4 S ( t2 )S (t6)
Taking the Laplace Transform:
5 4
e6 s
F ( s )=

1. Consider the following process output function in the Laplace transform:
Y ( s )=G ( s ) U ( s )=
K
s( s+1)
Since the Laplace transform of the output is the product of the process transfer function and the Laplace
transform of the input, give all possi

ChE 345
Process Control, Modeling and Simulation
. STEVENS
l! 1
W INSTITUTE of TECHNOLOGV
THE INNOVATION UNIVERSITY
Please do not write more than the space provided for answers.
“th
Test-2 {
1. Pharmaceutical company “Allcures4u” based in New Jersey has