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CHBE 470 – Process Dynamics and Control – Fall 2007
Homework Set 3
Assigned:
Wednesday, September 19
Due:
Wednesday, September 26
Note:
Please staple your papers and include your name in the first page
Use table 7.1 from textbook wherever you find appropriate
Problem 1:
A process of unknown transfer function is subjected to a unitimpulse input.
The output of the process is measured accurately and is found to be represented by the
function y(t)=te
t
. Determine the transfer function of the system.
Problem 2:
Consider a liquid storage tank with a nonlinear resistance in the outlet flow
rate (
h
8
F
=
, h=liquid level) and with crosssectional area of Area A=3 ft
2
. Calculate
the time constant for this system (after linearization) if the operating liquid level is a) 3 ft
and b) 9ft.
Problem 3:
Consider an isothermal CSTR where the following reaction is taking place:
k
AB
⎯⎯→
(3.1)
Let F
i
, and c
Ai
respectively denote the volumetric flow rate (lt/h) and the concentration of
A (mol/lt) in the inlet stream. Moreover, F and c
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 Spring '09
 Smith

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