The 'Brusselator' reaction mechanism proposed in 1968 is schematically represented as A k, X, B+X ,...

 

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The 'Brusselator' reaction mechanism proposed in 1968 is schematically represented as A k, X, B+X , Y + D, (1) ki, 3X, 2X + Y X , 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). (10 Marks) (b) Non-dimensionalise the equations from part (a) so that they become du — (ь + 1)и + au?v, = 1- dt (2) dv bu – au’v, dr where u and v correspond to a = [X] and y = [Y], T = kat and determine the constants a and b. (30 Marks) The 'Brusselator' reaction mechanism proposed in 1968 is schematically represented as A k, X, B+X , Y + D, (1) ki, 3X, 2X + Y X , 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). (10 Marks) (b) Non-dimensionalise the equations from part (a) so that they become du — (ь + 1)и + au?v, = 1- dt (2) dv bu – au’v, dr where u and v correspond to a = [X] and y = [Y], T = kat and determine the constants a and b. (30 Marks)

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Solutiby A a 3 X 3 E A B P E ... View the full answer