Definition of variables: CSTR Model Q(1) = the amount of the quantity of salt dissolved in the well-mixed solution at time t (in minutes). V = the initial volume a = the amount of dissolved substance at time t b = the concentration of the solution being poured in e = inflow f = outflow Model: dQ der + (v₁ + (²-1); )e= dt e-f)t Q = be where Q (0) = a

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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How to solve this problem when this is the given model? 

Definition of variables: CSTR Model
Q(t) = the amount of the quantity of salt dissolved in the well-mixed solution at time t (in minutes).
V= the initial volume
a = the amount of dissolved substance at time t
b= the concentration of the solution being poured in
e = inflow
f = outflow
Model:
dQ
dt
f
V₂+ (e-f)t
+ (
Q = be where Q (0) = a
Transcribed Image Text:Definition of variables: CSTR Model Q(t) = the amount of the quantity of salt dissolved in the well-mixed solution at time t (in minutes). V= the initial volume a = the amount of dissolved substance at time t b= the concentration of the solution being poured in e = inflow f = outflow Model: dQ dt f V₂+ (e-f)t + ( Q = be where Q (0) = a
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