04-Lect-Reactor Sizing1

04-Lect-Reactor Sizing1 - Outline 1 Applications of the...

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1 Chemical Reaction Engineering - Musgrave Conversion and Reactor Sizing Lecture 4 - Page 1 Outline: 1. Applications of the Design Equations (Folger 2.4) 2. Reactors in Series (Fogler 2.5) 3. Space Time and Space Velocity (Fogler 2.6) Next Time: (Fogler 2.6, 3.1-3.2) 1. Rate Law Definitions (Fogler 3.1) 2. Reaction Order and the Rate Law (Fogler 3.2) Levenspiel Plot 0 1 2 3 4 5 6 7 8 9 10 11 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 X -F_A/r_A F A 0 r A Chemical Reaction Engineering - Musgrave Conversion and Reactor Sizing Lecture 4 - Page 2 Consider the isomerization reaction A B? 1. Calculate: a. The entering concentration C A0 b. The entering molar flow rate F A0 c. Reactor size to achieve 50% and 75% conversions for both a CSTR and PFR 2. Given: a. Pure A is introduced to the reactor b. The kinetic data -r A in the table below c. T 0 is 473K (200 C) d. P 0 is 800 kPa e. The volumetric flow rate is 4 dm 3 /s f. The reactors are run isothermally g. The heat of reaction is -42 KJ/mol F A0 F A ,F B V F A0 F A ,F B V = F A 0 dX r A 0 X V = F A 0 X r A Design Equation in terms of X Design Equation in terms of X X 0.0 0.1 0.2 0.3 0.5 0.7 0.8 -r A (mol/m 3 s) 0.55 0.43 0.34 0.27 0.17 0.10 0.08 Kinetic data for the gas phase reaction A B carried out isothermally at 473K
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2 Chemical Reaction Engineering - Musgrave Conversion and Reactor Sizing Lecture 4 - Page 3 Consider the isomerization reaction A B carried out in a CSTR and PFR. Which reactor is larger? F A0 F A ,F B V F A0 F A ,F B V = F A 0 dX r A 0 X V = F A 0 X r A Design Equation in terms of X Design Equation in terms of X X 1 0 F A 0 r A V V 1 Chemical Reaction Engineering - Musgrave Conversion and Reactor Sizing Lecture 4 - Page 4 F A0 F A ,F B V = F A 0 X r A Design Equation in terms of X 3. But we don’t know C A0 , however we can figure out C A0 from: C A 0 = y A 0 P 0 RT 0 Plan: To size the CSTR, we need to : 1. Solve the design equation: V = F A 0 X r A X is specified, so we only only need to determine F A0 and -r A . 5. We’ll make a Levenspiel Plot which plots F A0 /-r A vs. X to see V(X). F A 0 = C A 0 υ 0 2. For F A0 we use: 4. For -r A we use the kinetic data to determine -r A at the specified X.
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