2. The exit substrate concentration c'(t) (mol/L) as a deviation variable is expressed as a function of the feed substrate concentration CF(t) (mol/L) by using the transfer function C'(s) 4 %3D C'F(s) 2s + 1 Derive the expression for c'(t) if CF(t) is a pulse function such that a. t <0 Cf(t) = { 4 0

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
icon
Related questions
Question
2. The exit substrate concentration c'(t) (mol/L) as a deviation variable is expressed as a
function of the feed substrate concentration CF(t) (mol/L) by using the transfer function
C'(s)
4
C'F(s)
2s + 1
a. Derive the expression for c'(t)if CF(t) is a pulse function such that
t < 0
0<t< 2
2 2<t< 0
2
Cf(t) =
4
b. Determine the maximum value of c'(t) and the time at which it occurs.
c. Determine the final value of c'(t)
d. How long does it take for c(t) to return to a value of 1.1 after reaching its maximum value
when the initial value of c(0)=1.
Transcribed Image Text:2. The exit substrate concentration c'(t) (mol/L) as a deviation variable is expressed as a function of the feed substrate concentration CF(t) (mol/L) by using the transfer function C'(s) 4 C'F(s) 2s + 1 a. Derive the expression for c'(t)if CF(t) is a pulse function such that t < 0 0<t< 2 2 2<t< 0 2 Cf(t) = 4 b. Determine the maximum value of c'(t) and the time at which it occurs. c. Determine the final value of c'(t) d. How long does it take for c(t) to return to a value of 1.1 after reaching its maximum value when the initial value of c(0)=1.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Enzymatic and non Enzymatic reactions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
Chemical Engineering
ISBN:
9781119285915
Author:
Seborg
Publisher:
WILEY
Industrial Plastics: Theory and Applications
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The