A series of first-order, liquid-phase reactions create a desirable product (B) and an undesirable byproduct (C) If
Question:
A series of first-order, liquid-phase reactions create a desirable product (B) and an undesirable byproduct (C)
If the reactions take place in an axially-dispersed plug-flow reactor (Fig. P28.14), steady-state mass balances can be used to develop the following second-order ODEs,
Use the finite-difference approach to solve for the concentration of each reactant as a function of distance given: D = 0.1 m2/min, U = 1 m/min, k1 = 3/min, k2 = 1/min, L = 0.5 m, ca,in = 10 mol/L. Employ centered finite-difference approximations with ∆x = 0.05 m to obtain your solutions and assume Danckwerts boundary conditions, as described in Prob. 28.14. Also, compute the sum of the reactants as a function of distance. Do your results make sense?
Step by Step Answer:
Centered differences can be substituted for the derivatives to give Collecting terms gives 50c ai1 8...View the full answer
Numerical Methods for Engineers
ISBN: 978-9352602131
7th edition
Authors: Steven C. Chapra, Raymond P. Canale
