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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.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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.
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.
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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