2. A composition analyzer is used to measure the concentration of a pollutant in a wastewater stream. The model relating the measured composition and the actual composition is given by the following transfer function C, (s) C'(s) 1 %3D TS +1 where t= 5 min. At steady state, ē= C = 3 ppm. A warning light on the analyzer turns on when the measured concentration exceeds 10 ppm. Suppose the actual concentration begins to increase at a rate of c(t) = 3 + 0.5t where c(t) is in ppm and t is in minutes. When will the warning light turn on? What is the actual concentration when the warning light turns on?

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
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Please use the Book:Process Dynamics and Control, Third Edition or Fourth Edition, by D. E. Seborg, T. F. Edgar, D. A. Mellichamp, F. J. Doyle III, John Wiley & Sons, Inc, 2011

2. A composition analyzer is used to measure the concentration of a pollutant in a wastewater
stream. The model relating the measured composition and the actual composition is given by
the following transfer function
C (s)
C'(s)
1
TS +1
where t= 5 min. At steady state, č = C. = 3 ppm. A warning light on the analyzer turns on
when the measured concentration exceeds 10 ppm. Suppose the actual concentration begins
to increase at a rate of c(t) = 3 + 0.5t where c(t) is in ppm and t is in minutes. When will the
warning light turn on? What is the actual concentration when the warning light turns on?
%3D
%3D
Transcribed Image Text:2. A composition analyzer is used to measure the concentration of a pollutant in a wastewater stream. The model relating the measured composition and the actual composition is given by the following transfer function C (s) C'(s) 1 TS +1 where t= 5 min. At steady state, č = C. = 3 ppm. A warning light on the analyzer turns on when the measured concentration exceeds 10 ppm. Suppose the actual concentration begins to increase at a rate of c(t) = 3 + 0.5t where c(t) is in ppm and t is in minutes. When will the warning light turn on? What is the actual concentration when the warning light turns on? %3D %3D
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