Lage this stage is dH = Lo + V2 – (L1 +V1) dt (overall mass balance) dHx1 = Loxo + V2Y2 - (L,x1 + V1y1) (mass balance on component A) dt %3D Yı = a, + a,x1+a,x² +azx} (vapor – liquid equilibrium, a; are constants) Where x; is the liquid molar fraction and y; is the vapor molar fraction of component A. Assume that the molar holdup H in the stage is constant and that constant molal overflow occurs. Thus, L1 = Lo (liquid flow rates) and V2 = V1 (vapor flow rates). Lo Vị H L V2 y2 Figure E4.7 (a) Linearize the resulting model and introduce deviation variables. (b) For constant liquid and vapor flow rates, derive the four transfer functions relating outputs x1 and y, to inputs x, and y2. Place it in standard form (defining K and t values).
Lage this stage is dH = Lo + V2 – (L1 +V1) dt (overall mass balance) dHx1 = Loxo + V2Y2 - (L,x1 + V1y1) (mass balance on component A) dt %3D Yı = a, + a,x1+a,x² +azx} (vapor – liquid equilibrium, a; are constants) Where x; is the liquid molar fraction and y; is the vapor molar fraction of component A. Assume that the molar holdup H in the stage is constant and that constant molal overflow occurs. Thus, L1 = Lo (liquid flow rates) and V2 = V1 (vapor flow rates). Lo Vị H L V2 y2 Figure E4.7 (a) Linearize the resulting model and introduce deviation variables. (b) For constant liquid and vapor flow rates, derive the four transfer functions relating outputs x1 and y, to inputs x, and y2. Place it in standard form (defining K and t values).
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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Transcribed Image Text:Lage
this stage is
dH
= Lo + V2 – (L1 +V1)
dt
(overall mass balance)
dHx1
= Loxo + V2Y2 - (L,x1 + V1y1) (mass balance on component A)
dt
%3D
Yı = a, + a,x1+a,x² +azx}
(vapor – liquid equilibrium, a; are constants)
Where x; is the liquid molar fraction and y; is the vapor molar fraction of component A.
Assume that the molar holdup H in the stage is constant and that constant molal overflow occurs.
Thus, L1 = Lo (liquid flow rates) and V2 = V1 (vapor flow rates).
Lo
Vị
H
L
V2
y2
Figure E4.7
(a) Linearize the resulting model and introduce deviation variables.
(b) For constant liquid and vapor flow rates, derive the four transfer functions relating outputs
x1 and y, to inputs x, and y2. Place it in standard form (defining K and t values).
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