Question: solve with matlab code Lab Session 12: Ordinary Differential Equations Problem Statement (Please read the lab manual and work on your own to complete the

solve with matlab code solve with matlab code Lab Session 12: Ordinary Differential Equations Problem Statement

Lab Session 12: Ordinary Differential Equations Problem Statement (Please read the lab manual and work on your own to complete the lab report) Part 1) Accumulation represents the change in mass in the reactor per change in time. For a constantvolume system, it can be formulated as Accumulation=Vdtdc 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: Vdtdc=Q(cinc) This equation can be used to determine transient or time-variable solutions for the reactor. For example, if c=c0 at t=0, calculus can be employed to solve the equation as follows analytically cexact=cin(1e(vq)t)+c0e(vq)t If cin=50mg/m3,Q=5m3/min,V=100m3, and c0=10mg/m3, the equation is cexact=50(1e0.05t)+10e0.05t THIS IS THE ANALYTICAL SOLUTION, PLOT cexact(t) and include this plot in your report

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