The 'Brusselator' reaction mechanism proposed in 1968 is schematically represented as A kl, X, B+ X 2, Y + D, (1) 2X +Y , 3X, X , E, where ki, i = 1,2, 3, 4 are the constant parameters for the rates of reaction, and the reactants A and B are kept constant.
The 'Brusselator' reaction mechanism proposed in 1968 is schematically represented as A kl, X, B+ X 2, Y + D, (1) 2X +Y , 3X, X , E, where ki, i = 1,2, 3, 4 are the constant parameters for the rates of reaction, and the reactants A and B are kept constant.
Electrical Transformers and Rotating Machines
4th Edition
ISBN:9781305494817
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter3: Inductance In Alternating-current Circuits
Section: Chapter Questions
Problem 3RQ: To what is inductive reactance proportional?
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Transcribed Image Text:Question 1.
The 'Brusselator' reaction mechanism proposed in 1968 is schematically represented as
A 1, X,
k1.
B+ X 2, Y + D,
(1)
2X +Y 3X,
x k, E,
where k;, i = 1,2, 3,4 are the constant parameters for the rates of reaction, and the
reactants A and B are kept constant.
![(a) Using the Law of Mass Action to write a system of differential equations for the
concentrations of X and Y in (1).
(b) Non-dimensionalise the equations from part (a) so that they become
du
= 1-
dt
(b + 1)и + au?v,
(2)
dv
= bu – au'v,
dt
where u and v correspond to a =
[X] and y = [Y], t = k4t and determine the
constants a and b.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2731f2f8-549b-4c95-b876-fd63e857b145%2F04939843-9673-4abc-b58d-58f2c69d6ced%2F4on8ny_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) Using the Law of Mass Action to write a system of differential equations for the
concentrations of X and Y in (1).
(b) Non-dimensionalise the equations from part (a) so that they become
du
= 1-
dt
(b + 1)и + au?v,
(2)
dv
= bu – au'v,
dt
where u and v correspond to a =
[X] and y = [Y], t = k4t and determine the
constants a and b.
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