a.)b.) Derive a transfer function model relating the output concentration of A, C₂ to the inlet concentration of A, C₀.

c.) Create a new Excel spreadsheet (so that your name shows as the author) simulating the start up of the reactors in the figure. Insert on the spreadsheet a plot of the first 60 minutes of the startup showing C₁ and C₂ versus time. Initially the concentrations are C₁ = C₂ = 0 moles/liter.

Use these values for the constants:

C₀ = 5 moles/liter

V = 50 liters

F₀ = 10 liters/min

R = 3 liters/min

k = 0.1 min^-1

d.) Linearize the model from the figure to obtain a transfer function model relating the outlet concentration of A from the second reactor, C₂, to the recycle flow variable, R.

Use the constants given and the steady state values obtained in part c to evaluate the coefficients in the transfer function.

Write a mathematical model for this process: Fo, Co R, C2 1 V V |F1C1 |F2, C A first-order reaction A ---> B occurs in both reactors, with reaction rate constant k. The volumes of liquid in the reactors, V, are constant and equal; the flow rates Fo, F1, F2 and Rare constant. Assume constant physical properties and a negligible time delay for the recycle line