Question

Using optimum temperature progression in a mixed flow reactor for the reaction between 0 °C and 100 °C A------>R, ∆H₂₉₈ = −75300 J/mol, ∆G₂₉₈ = −14130 J/mol, C_PA=C_PB= constant= 250 cal/mol K, (a) Calculate the size of reactor is needed for 80% conversion when C_AO = 4 mol/lit, F_AO = 1000 mol/min. (b) What is the heat duty if feed enters at 25 °C and product is to be withdrawn at this temperature? C_PA is 250 cal/mol K

Answer 1

Solution optimum dembekature phe&on which minimizes V 4H phoprersion that FoR given t allous Conveasion a eactant eliemnageestimate to Fak any eal bow Sys dem ideat depasts from this tr optimum dembesatse phogresion The any At ony follous tybe af Combosition, as reactor the temp- be at aLways maximum satere the Aate Wheae folsnd hy Lols aff maximum Jrades The exa mining Termberatke, CanvexSfon CuAves the which Cpere Shown

1.0 -TA= 0.001 0.002 Time in minutes 0.9 mol 0.003 CAO 1 liter For other CAO Change -FA accordingly 0.005 0.8 0.01 0.7 0.02 0.03 0.6 0.05 Equilibrium 0.5 mol TA= 0.1 liter min, 0.2 0.4 0.3 0.5 0.3 mo A=1 liter min 2 0.2 3 0.1 5 10 30 40 50 60 70 90 100 110 -10 0 20 80 Temperature, °C Conversion C

given, are we 753 J/moL AH 298 A248 - 14 130 J/mol CPA Consdant 250 cal CAo mol/it Fe CA moL/fiter use we can the in XA VeRs Figuae 8holu T chart PAeviously gRabh is That then muLtibl to use hare we by alf chart values this ate Op Cbecaise CAD mol/ie operding point Should FLow mixed the oftima the of be where Located Conveeg jon Ljne go. intes sect the

CiRLte atea Shoun by red which foR -Je=0./mol A geaph 4t i3 in that titemin of in case Ca=mol butin Ou& Case CAo mol Piter o.y moL LiHeRmin FAOM peformance eqvathon fomixed Aeactors FLow Va C4-2 /min her O,4 mol 2000 fitess V CS

A B CP= Cs heats afe Speci fic AS a Cp-bl2 11 Know we AHe AHez Vp dT heat absatbed diing Aeactian demberatere deAing eaction at dembslthe heal absohbed heal afueaction will As VCp independert be tembela tuAe 3a-7530 Aloplying eneigy balance, Cp AT know Lue head needad haige feed s+heam to XA heat ealeaged 0t eaion -

equation Can we this om Tempelatae cURve. XA VeRsus Cep NHg2 moL A K /maLA 250 caL CPA Alobe 18000 CaL (Using Unides in Calskie) K 72 gaabh Shoun below whege Locs af aptima indeasects the Po Conveasion Lire ine in thi8 Drawing thiough C C paint BCD Line feed must be Cooled that See Car we A (Fed point - 25 Preact odiabaally 37'c. CBam Crraph belou paint 200 B be faRe entes and to product must be paint E)See Cooled Also Paint to C

1.0 D Equilibrium Cooling 0.8 Desired product TA 0.4 'Operating point, 62°C 0.6 Locus of maxima ХА 0.4 Energy balane, slope 1/72 0.2 Feed, 25°C C 20 40 60 80 100 4.4 Temperature, °C