Chapter 2, Problem 2.3P

You have two CSTRs and two PFRs, each with a volume of $1.6{\text{m}}^3$. Use Figure $2-2\text{B}$ on page 43 to calculate the conversion for each of the reactors in the following arrangements.

(a) Two CSTRs in series. (Ans.: $X_l=0.435,{\text{X}}_2=0.66$)

(b) Two PFRs in series.

(c) Two CSTRs in parallel with the feed, $F_{\text{A}0}$, divided equally between the two reactors.

(d) Two PFRs in parallel with the feed divided equally between the two reactors.

(e) Caution: Part (e) is a C level problem. A CSTR and a PFR in parallel with the flow equally divided. Calculate the overall conversion, $X_{\text{OV}}$

$X_{\text{ov}}=\frac{{\text{F}}_{\text{A}0}-{\text{F}}_{\text{ACSTR}}-{\text{F}}_{\text{APFR}}}{{\text{F}}_{\text{A}0}},$ with ${\text{F}}_{\text{ACSTR}}=\frac{{\text{F}}_{\text{A}0}}{2}-\frac{{\text{F}}_{\text{A}0}}{2}{X}_{\text{CSTR}}^{,\text{and }}{\text{F}}_{\text{APFR}}=\frac{{\text{F}}_{\text{A}0}}{2}\left(1-X_{\text{PFR}}\right)$

(f) A PFR followed by a CSTR.

(g) A CSTR followed by a PFR. (Ans.: ${\text{X}}_{\text{CSTR}}=0.435,{\text{X}}_{\text{PFR}}=0.71$)

(h) A PFR followed by two CSTRs. Is this arrangement a good arrangement or is there a better one?