In wastewater treatment, Monod kinetics are used to describe the growth and decay of organisms The system can be noted as:

roblem # In wastewater treatment, Monod kinetics are used to describe the growth and decay of organisms The system can be noted as: steipe The substrate s and enzyme e are connected with an intermediate species i by an equilibrium reaction. The intermediate species i is broken down into the final reaction product p with the enzyme e as a by-product. According to the law of mass action, the set of differential equations for the reaction system is: as ae ai at ap KI, K and Ks are rate coefficients. a) Using the built-in MATLAB Runge-Kutta system solver command (ode45), solve the above system of equations and plot the results on the same figure for rates Ki-1 day, K 0.15 day K 0.4 dayThe initial conditions are S(0) 1 g; e(0) 0.2 g/l; i(0)-0.1 gl: p(0)-0.3 g/l. Note: The call to use the function would look like: [xout,Y]ode45 (rhs func name, xspan, YO) where rhs func name is the name (a text string) of the function you create that defines the right-hand-side of the above system of differential equations, xspan is a two-element vector containing the starting and ending points in space, and Yo is the initial condition vector. Your rhs func name function must have inputs for a particular value of x and y and output a vector corresponding to the value of the right-hand- side of the system. Type help ode45 at the command prompt for more information on the solver function.] b) Comment on solutions for substrate, enzyme, intermediate species and final product. c) At what time 95% of the substrate is removed