ReviewLecture1a_2014

ReviewLecture1a_2014 - ECH 256 Chemical Kinetics and...

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Brian G. Higgins Department of Chemical Engineering and Materials Science University of California, Davis Overview’of’Undergraduate Chemical’Reac7on’Engineering’and’Kine7cs ECH 256: Chemical Kinetics and Reaction Engineering Lecture 1: Balance Laws for Multicomponent Reacting Systems
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Material Balance for Chemical Reactors Formulation readily extended to multiple inlets and outlets Volumetric flow rate Rate of production/volume Control volume V (fixed) Mass density of species j CSTR’ Assump7ons’?’
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Axioms’for’the’Mass’of’Mul7-component’ ’Systems’ For’a’N-component’system’the’word’statement’ Some’de±ni7ons:’ Sign’Conven7on:’ r A < 0 if species A is consumed by reac2on r A > 0 if species A is created by reac2on new’concept’ new’concept’ new’concept’
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Axioms’for’Mul7-component’Systems’ For’a’±xed’control’volume:’ Axiom’1:’ Now in the volume the total mass produced by chemical reac2on must be zero V Axiom’II:’ The mathema2cal statement of Axiom II is Axiom’II:’
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Molar’Concentra7ons’and’Molecular’Mass’ Molar’concentra7on’of’a’species:’ Molar’rate’of’produc7on’for’a’species’ Molecular’mass:’ Note o=en one works with grams of mass per mole of A taken’from’tables’
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Axioms’in’Molar’Concentra7ons’ For a fxed control volume: Axiom’I:’ Axiom’II:’ For a moving control volume: Axiom’I:’ Axiom’II:’
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Species’Mass’Density’ Defni7on:’ The mass of species A per unit volume in a mixture of several components is known a the species mass density .
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