please do it with matlab and write a discussion please.

Lab Session 12: Ordinary Differential Equations Problem Statement (Please read the le report Part 1) al and work on your own to complete the lab Accumulation represents the change in mass in the reactor per change in time. For a constant- volume system, it can be formulated as Accumulation V where V is the volume, c is the concentration. Thus, a mathematical formulation for accumulation is volume times the derivative of concentration with respect to time. Figure 1. A single, completely mixed reactor with an inflow and an outflow. Since Accumulation = inputs-outputs, one can write the mass balance for a single reactor as shown in Figure 1: = Q(cc) This equation can be used to determine transient or time-variable solutions for the reactor. For example, if c = c, at t=0, calculus can be employed to solve the equation as follows analytically (1-18)+(8) If 50 mg/m^3, 0-5 m3/min, V 100 m 3, and co- 10 mg/m^3, the equation is Get 50(1-0)+10- THIS IS THE ANALYTICAL SOLUTION, PLOT() and include this plot in your report Part 2) It is asked to solve for the dynamics of the model in part 1 with respect to time, using both analytical and numerical approaches, and a comparison between the two approaches be offered. Numerical Solution: A modular and flexible programming approach is adopted in this assignment, and students will be encouraged to continue using this approach throughout the course. When designing a numerical implementation of the proposed solution, first an architecture should be decided upon. We would like this architecture to be modular, ie. consisting of separate modules that performs unrelated tasks. This will prove to be useful for later assignments, when the student needs a module that just does the task |