The elementary, gas$-$phase reversible reaction A $$ B $+2$C occurs in an isothermal,

isobaric, steady$-$state membrane PFR with a forward rate constant of k$1$ and an overall

equilibrium constant of KC$.$ The reactor is tubular with a constant cross$-$sectional area.

Pure A enters the reactor, and B diffuses out through the membrane. Unfortunately, a

small amount of reactant A also diffuses through the membrane. The rate of diffusion

of species i through the membrane at any given point along the reactor is equal to the

constant, $\backslash$beta i$,$ multiplied by the local concentration of species i$.$

Plot the flow rate of A$,$ B$,$ and C along the length of the reactor, from z $=0$ to z $=$ Lreactor.

Additional information:

k$1=10$ min$-1$

KC $=0\mathrm{.}01$ M$2$

$\backslash$beta A $=1$ min$-1$

$\backslash$beta B $=40$ min$-1$

FA$0=100$ mol$/$min

v$0=100$ L$/$min

Cross sectional area: $2$ dm$2$

Lreactor $=10$ dm