Q7/ An exothermic reaction, A 2B, takes place adiabatically in a stirred-tank reactor. This liquid reaction occurs at constant volume in a 1000-gal reactor. The reaction can be considered to be second-order and irreversible with the rate constant given by k 2.4 x 1015e0.00 (min ) where T is in R. (a) Using the information below, derive a transfer function relating the exit temperature T to the inlet concentration CA. State all assumptions that you make. (b) How sensitive is the transfer function gain K to the operating conditions? Find an expression for the gain in terms of, , and, and evaluate the sensitivities (aKa, (aKa, and (@Ka). Available Information (1) Nominal steady-state conditions are = 150 F,= 0.8 mol/ft', = 20 gal/min = flow in and out of the reactor (i) Physical property data for the mixture at the nominal steady state: C=0.8 Btu/(1b F), p 52 lb/ft',-AH, 500 Kj/mol
Q7/ An exothermic reaction, A 2B, takes place adiabatically in a stirred-tank reactor. This liquid reaction occurs at constant volume in a 1000-gal reactor. The reaction can be considered to be second-order and irreversible with the rate constant given by k 2.4 x 1015e0.00 (min ) where T is in R. (a) Using the information below, derive a transfer function relating the exit temperature T to the inlet concentration CA. State all assumptions that you make. (b) How sensitive is the transfer function gain K to the operating conditions? Find an expression for the gain in terms of, , and, and evaluate the sensitivities (aKa, (aKa, and (@Ka). Available Information (1) Nominal steady-state conditions are = 150 F,= 0.8 mol/ft', = 20 gal/min = flow in and out of the reactor (i) Physical property data for the mixture at the nominal steady state: C=0.8 Btu/(1b F), p 52 lb/ft',-AH, 500 Kj/mol
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
Related questions
Question
Transcribed Image Text:Q7/ An exothermic reaction, A 2B, takes place adiabatically
in a stirred-tank reactor. This liquid reaction occurs at constant volume in a
1000-gal reactor. The reaction can be considered to be second-order and
irreversible with the rate constant given by
k = 2.4 x 1015e20.000(min-) where Tis in R.
(a) Using the information below, derive a transfer function relating the exit
temperature T to the inlet concentration CA. State all assumptions that you
make.
(b) How sensitive is the transfer function gain K to the
operating conditions? Find an expression for the gain in terms
of, , and, and evaluate the sensitivities (aKa, (aKa, and (aK/a).
Available Information
(1) Nominal steady-state conditions are
= 150 F,= 0.8 mol/ft', 20 gal/min = flow in and out of the reactor
(ii) Physical property data for the mixture at the nominal steady state:
C= 0.8 Btu/(1b F), p= 52 lb/ft', -AH, = 500 Kj/mol
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 6 images
Knowledge Booster
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…
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…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
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…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The