2. (15 pts) A Semi-batch reactor is carrying out the liquid phase, irreversible, elementary reaction A+B 2C. FBO CBO, VO Semi-Batch t = 0 C.(t=0) Vt=0) a. Find the set of ODE's that can be used to model the concentration change of each species over time. Hints: i. Co is the concentration of B in the tank and is a function of time. CBo is the concentration of B in the inlet stream and is a constant. ii. Use the following variables for the ODE's: ra, CA, CB, Cc, CB0, FAO, V., V.,t b. Find the numerical solutions to the ODE's in part a using Polymath using the following conditions: i i. CBo = 0.1 mo!, v. = 0.05% ii. V. = 5 L, CA(0) = 0.5 mol iii. Specific rate constant is k = 0.2__ = = S - = = s mol Attach a copy of the graph of concentrations of A, B and C vs. time, and report the concentrations of each compound at t = 200 sec. C. Explain in your own words why the concentration of each species goes up, down, stay the same, etc