Answered: A composition analyzer is used to…

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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A composition analyzer is used to measure the concen-tration of a pollutant in a waste water stream. The relationshipbetween the measured composition Cₘ and the actual compo-sition C is given by the following transfer function (in deviation variable form):C′ₘ(s)/C′(s)=e−θˢ/(?s+1) where θ=2 min and ?=4 min. The nominal value of the pol-lutant is C=5 ppm. A warning light on the analyzer turns on whenever the measured concentration exceeds 25 ppm.Suppose that at time t=0, the actual concentration beginsto drift higher,C(t)=5+2t,whereChas units of ppm and t has units of minutes. At what time will the warning light turn on?

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