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...

Extracted 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.


Extracted 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.