Question 1.The 'Brusselator' reaction mechanism proposed in 1968 is schematically represented asA 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 thereactants A and B are kept constant. (a) Using the Law of Mass Action to write a system of differential equations for theconcentrations of X and Y in (1).(b) Non-dimensionalise the equations from part (a) so that they becomedu= 1-dt(b + 1)и + au?v,(2)dv= bu – au'v,dtwhere u and v correspond to a =[X] and y = [Y], t = k4t and determine theconstants a and b.

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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

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

(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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