The first-order, reversible reaction A B + 2C is taking place in a membrane reactor. Pure A enters the reactor, and B diffuses through the membrane. Unfortunately, some of the reactant A also diffuses through the membrane. You willassume that the reaction follows elementary rate law and that it takes place isothermally and isobarically.

a) Set up all the equations needed to solve this problem (included the values of the parameters), that is all the information you would put in Polymath. You will solve for the species flow rates (not for the conversion).

b) Plot the flow rates of A, B, and C down the reactor, as well as the molar flow rates per unit volume of A and B through the membrane (i.e. RA and RB).

c) Redo part a) as if it were for a conventional PFR

d) Compare the conversion profiles of a conventional PFR with those of the membrane reactor.e) Would the conversion of A be greater or smaller if C were diffusing out instead of B?

kA = 10 min-1 (Rate constant of forward reaction)

FA0 = 100 mol/min

KC = 0.01 mol2/dm6 (Equilibrium constant)

v0 = 100 dm3/mink

CA = 1 min-1 (Diffusive mass transfer coefficient of species A)

Vreactor = 20 dm3

kCB = 40 min-1 (Diffusive mass transfer coefficient of species B)