Chemical Engineering Department
University of Florida
ECH 4323
Process Control Theory
HOMEWORK No. 9
Special instructions for exercise 5.21 of the textbook
Using the problem statement 5.21 of the textbook, address the following issues:
a.
Write a total mass balance (assume that the density is constant, and that the
density of the mixture is equal to that of the individual species) and a species
(component A) mass balance.
b.
Write an energy balance for the system.
c.
Linearize the equations obtained in (a)(b) and take the Laplace transform to
obtain two equations in the Laplace variable s.
Note that there are two outputs,
namely C’
A
(s) and T’(s), and two inputs, namely T’
i
(s) and C’
A
i
(s).
Make
sure that you work using deviation variables.
DO NOT SUBSTITUTE OPERATING POINT VARIABLES FOR THEIR
NUMERICAL VALUES.
For example, keep the inlet concentration at the
operating point indicated by the symbol
C
Ai
, instead of its numerical value
0.8 lbmol/ft
3
.
Include expressions for each of the partial derivatives needed for the
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 Spring '10
 Crissale
 Laplace

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