18-Lect-SeriesRxns0

18-Lect-SeriesRxns0 - Outline: 1. Maximizing the Desired...

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1 Chemical Reaction Engineering - Musgrave Maximizing Desired Product in Sequential Rxns Lecture 18 - Page 1 Outline: 1. Maximizing the Desired Product in Series Rxns (Fogler 6.3) 2. Algorithm for Complex Reactions (Fogler 6.4) Next Time: (Fogler 6.5) 1. Multiple Reactions in a PFR/PBR (Fogler 6.5) 2. Multiple Reactions in a CSTR (Fogler 6.6) Reactant Intermediate Product E D E Δ H D P(E) Byproduct Chemical Reaction Engineering - Musgrave Maximizing Desired Product in Sequential Rxns Lecture 18 - Page 2 Series Reactions : A U D Reactions where products react A D U k D k U k D k U For sequential rxns in a CSTR: ˜ S D / U = F D F U = r D r U ( ) V r U V = S D / U 1 Reactant Intermediate Product E D E Δ H D P(E) Byproduct Equilibrium distribution of energy among molecules Usually assume intermediate product equilibrates quickly r D r U
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2 Chemical Reaction Engineering - Musgrave Maximizing Desired Product in Sequential Rxns Lecture 18 - Page 3 Consider the series reaction in a PFR with V constant where both rxns are first order: A D U k D k U 1. Using a mole balance on A , the rate law and stoichiometry: C A = C A 0 exp k D τ ( ) 2. Using a mole balance on D , the rate law and stoichiometry: C D = k D C A 0 exp k D ( ) exp k U ( ) k U k D The maximum C D occurs when: = 1 k D k U ln k D k U 3. Using an overall mole balance: C U = C A 0 C A C B C i or V C A C U C D r D = k D C A r U = k U C D V = υ 0 k D k U ln k D k U Chemical Reaction Engineering - Musgrave Maximizing Desired Product in Sequential Rxns Lecture 18 - Page 4 In complex rxns both parallel and series rxns are coupled and determining product
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18-Lect-SeriesRxns0 - Outline: 1. Maximizing the Desired...

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