Question

275°F.] [Modified from California Professional Engineers' Exam.] P5-23 The reversible isomerization meta-Xylene para-Xylene follows an elementary rate law. If X, is the equilibrium conversion, X х, (a) Show for a batch and a PFR: tRtpFR In k X-X X (b) Show for a CSTR: TCSTR k x-X) (c) Show that the volume efficiency is х, (X-X) In X-X V PFR VCSTR X and then plot the volume efficiency from 0 to 1 (d) What would be the volume efficiency for two CSTRS in series with the as a function of the ratio (X/X sum of the two CSTR volumes being the same as the PFR volume? (urt nartial

Answer 1

K1 P-Yylane Meta- xylane (A) Kr. tro CAOXA (Bfollows elemintny Yate au) k, CA YA = At Equilli'briom К. САо С1- Ха) kea KI K2 XA K -XA) - Li L Ke Кон XA Con tant Volum Ayetem th ^pfR dXA TPFR XA — Ха kea XA |-XA Kea XA Xe CofR Xa KI

TPFR KI (ADXA STR XA UXa)K2A 1- XA 1+ XAe TESTR Xp X PFR the time y4Y to brocs O ne atoy voume in PFR PFR VPFR VPFR VPFR TeSTR VesTR Xe VpfR Xen-X n Volume Xe-x ticiney VcsTR

fox two CSTR in ge2 Pexfoyco eqyion los UPFR) Xe n e K(arL)- Xe --X PF Xe CXe-y) Xe n K X VPFR), PFR) Xen e Xe-x Xe -Y PFR) (Xe-Y) Xe K Xe-x G1 aph Y (on y-axis) VAFR VCSTR (Xe-xn/Xe Xe-X (Dnx-axiz) (X)= XCon x-axi) O 8 (X) 0.7662 0.60

Data Design Page Layout Formulas Review View Layout Format Calbri (Body) 10 AA General EWrap Text Normal Bad Good EMerge & Center. Calculation Check Cell Insert Detete format $ asNeutral er Formatting Font Alignment Cells Number Styles C D G H K M N P S Y 0.2 0,892 1 0.4 0,766 0.9 0,6 0,604 0,8 0,8 0.4023 0.7 0.6 0.5 Y 0.4 0.3 0.2 0.1 0.8 0.6 0.4 0.2 Sheet3 heet2 re to search