Question

Describe your solutions in detail, because partial credit will be given based on your work. If additional information is necessary in solving the problems, DO use your engineering sense and provide reasonable assumptions and explanations. You may use your calculator if necessary. Use a language of your choice. Note: The following information may or may not be used in solving the problems. Gas constant, R-8.314 kPa L/(mol K). 150(1-9)" + 1,75G|, dP The Ergun equation: G (1-4Y where is porosity, p is gas density, dz Dp P9cDp is gas viscosity, G is superficial velocity, and D, is particle diameter. mass 3. (10 pts.) Consider an elementary liquid-phase reaction (A+BC) in a semibatch reactor. The feed stream containing B with a constant concentration (CBo) and a constant flow rate (v0) is slowly fed to a reactor containing pure A with an initial concentration (CAo). Derive three differential equations for the mole balances of A, B, and C. Please provide the steps in detail, because the credits will be given based on the detailed procedure.

Answer 1

Ergvo's eqvati'on (1- )a 1501-dJ4 2 1-5 2 ) ge Dp 3 (ozenay Visco usforce ificant Kosmann vatisn) whan Re<' - Gr 1-2150M dz Re 7iDBla ke - flwmme y l4vadiou} when tmiand Kinadic S 21- S ge dp 3 dP A4 Tntut of fiosadiou di (-)q Ll-tm) beal ylanstof Em minimum porogdy

(1) li4iagea ttion (o exfuo grau fae tos (E) Vo)-Vey0) Reaetini clomtntary Titially Bfeo A Cmd CAD Tmitil CBo Tnitial ContYation of A Vo umihoJ de diffase ial e vedi on of mals balane Suly inpot Input fee T Caeof St mbatch out put Suly ovt fut fox at at(A) Tnfut -output -lonsntó Accumuladion d (Va) at CAD V Volume Dt Yeactor Yt of ea eti'on of A (SA) at CA n t adion cat ingfaut my

2 fox Xeataut B) ol (V=o - D * for b0eloet 4 Ye)v v C)=o - dt YeV 3 - fox EadienD Islo -CCA V- Vd (A (d dt K(A OVEYall Tnaybalan foy mi'bdc d v),- &deugity fyls dv dt Put in tvudion (5)

Simi icyd hy for Yataut B UdBDo- DoCAD t KACBV V= Dot+C SimiLiax y fos c V d Ce - VdCe - k CA CB dt