Lecture 12 Tuesday 2/12/08 Multiple Reactions Selectivety and Yield Series Reactions Complex Reactions

Department of Chemical Engineering, University of Michigan, Ann Arbor 2HSF, 6/13/2015 Many metabolic reactions involve a large number of sequential reactions, such as those that occur in the coagulation of blood. Cut → Blood → Clotting Blood Coagulation Figure A. Normal Clot Coagulation of blood (picture courtesy of: Mebs, Venomous and Poisonous Animals, Medpharm, Stugart 2002, Page 305)

Department of Chemical Engineering, University of Michigan, Ann Arbor 3HSF, 6/13/2015 Schematic of Blood Coagulation

Department of Chemical Engineering, University of Michigan, Ann Arbor 4HSF, 6/13/2015 Cut A + B C D E F Clot

Department of Chemical Engineering, University of Michigan, Ann Arbor 5HSF, 6/13/2015 MODEL EQUATIONS:

Department of Chemical Engineering, University of Michigan, Ann Arbor 6HSF, 6/13/2015 MODEL EQUATIONS:

Department of Chemical Engineering, University of Michigan, Ann Arbor 7HSF, 6/13/2015 NOTATIONS

Department of Chemical Engineering, University of Michigan, Ann Arbor 8HSF, 6/13/2015 NOTATIONS

Department of Chemical Engineering, University of Michigan, Ann Arbor 9HSF, 6/13/2015 MOLE BALANCE

Department of Chemical Engineering, University of Michigan, Ann Arbor 10HSF, 6/13/2015 MOLE BALANCE

Department of Chemical Engineering, University of Michigan, Ann Arbor 11HSF, 6/13/2015 MOLE BALANCE

Department of Chemical Engineering, University of Michigan, Ann Arbor 12HSF, 6/13/2015 RESULTS

Multiple Reactions example: A → B → C (1) A → B (2) B → C 1) Mole balances: 2) Rates:rate laws: relative rates: 3) Combine:

When is C B the highest? Example: CSTR multiple reactionsA → B → C what is the optimal ? 1) Mole Balance:

2) Rates: laws:net: relative: 3) Combine:

Example: Liquid phase PFR A + 2B → C (1) 2A + 3C → D (2) 1) Mole balances: 2) Rates:laws: net: relative: 3) Stoich: overall selectivity: parameters: