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An alarm sounds if the measured value exceeds the environmental limit of 7 ppm. Suppose that the contaminant concentration C gradually increases according to the expression

An alarm sounds if the measured value exceeds the environmental limit of 7 ppm. Suppose that the contaminant concentration C gradually increases according to the expression

Introduction to Chemical Engineering Thermodynamics
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 sensor is used to continually monitor the contaminant level in a liquid stream. The dynamic behavior of the sensor can be described by a first order transfer function with a time constant of 10 sec: C(s) 1 C'(s) 10s +1 where C' is the actual contaminant concentration & T is the measured value. Both are expressed as deviation variables. The nominal concentration is C =5 ppm. Both C & C have values of 5 ppm initially. m An alarm sounds if the measured value exceeds the environmental limit of 7 ppm. Suppose that the contaminant concentration C gradually increases according to the expression C(t)=5+0.2t where t is expressed in seconds. After the actual contaminant concentration exceeds the environmental limit what is the time interval, At, until the alarm sounds?
Transcribed Image Text:A composition sensor is used to continually monitor the contaminant level in a liquid stream. The dynamic behavior of the sensor can be described by a first order transfer function with a time constant of 10 sec: C(s) 1 C'(s) 10s +1 where C' is the actual contaminant concentration & T is the measured value. Both are expressed as deviation variables. The nominal concentration is C =5 ppm. Both C & C have values of 5 ppm initially. m An alarm sounds if the measured value exceeds the environmental limit of 7 ppm. Suppose that the contaminant concentration C gradually increases according to the expression C(t)=5+0.2t where t is expressed in seconds. After the actual contaminant concentration exceeds the environmental limit what is the time interval, At, until the alarm sounds?
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