3. A model for a CSTR is developed that contains two differential equations (shown below). In this model, the following variables are used: CA concentration of A leaving reactor CAI = concentration of A entering reaction Q = heat rate F₁ = flow rate V = volume UA heat transfer coefficient x heat transfer area p = density Cp heat capacity EA activation energy ko pre-exponential factor TT inlet temperature and exit temperature R ideal gas constant dC CAF (CC)-K exp(-) C = dt V dT dt -=UA(T − T;)+ · VPCP RT A For a state-space model: a) List the state variables: b) List the input variables: c) List the parameters: d) Determine the values of the A-matrix:

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
Question
3. A model for a CSTR is developed that contains two differential equations (shown below). In this
model, the following variables are used:
CA concentration of A leaving reactor
CAI = concentration of A entering reaction
Q = heat rate
F₁ = flow rate
V = volume
UA heat transfer coefficient x heat transfer area
p = density
Cp heat capacity
EA activation energy
ko pre-exponential factor
TT inlet temperature and exit temperature
R ideal gas constant
dC
CAF (CC)-K exp(-) C
=
dt V
dT
dt
-=UA(T − T;)+ ·
VPCP
RT
A
For a state-space model:
a) List the state variables:
b) List the input variables:
c) List the parameters:
d) Determine the values of the A-matrix:
Transcribed Image Text:3. A model for a CSTR is developed that contains two differential equations (shown below). In this model, the following variables are used: CA concentration of A leaving reactor CAI = concentration of A entering reaction Q = heat rate F₁ = flow rate V = volume UA heat transfer coefficient x heat transfer area p = density Cp heat capacity EA activation energy ko pre-exponential factor TT inlet temperature and exit temperature R ideal gas constant dC CAF (CC)-K exp(-) C = dt V dT dt -=UA(T − T;)+ · VPCP RT A For a state-space model: a) List the state variables: b) List the input variables: c) List the parameters: d) Determine the values of the A-matrix:
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