Kinetics of Catalytic Reactions M. Albert Vannice Kinetics of Catalytic Reactions M. Albert Vannice Kinetics of Catalytic Reactions With 48 Illustrations M.AlbertVannice WilliamH.JoyceChairedProfessor DepartmentofChemicalEngineering ThePennsylvaniaStateUniversity UniversityPark,PA16802 [email protected] LibraryofCongressControlNumber:2005923777 ISBN-10:0-387-24649-5 e-ISBN:0-387-25972-4 Printedonacid-freepaper. ISBN-13:978-0387-24649-9 (cid:2)2005SpringerScienceþBusinessMedia,Inc. Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthe writtenpermissionofthepublisher(SpringerScienceþBusinessMedia,Inc.,233SpringStreet, NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhere- afterdevelopedisforbidden. Theuseinthispublicationoftradenames,trademarks,servicemarksandsimilarterms,evenif theyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornot theyaresubjecttoproprietaryrights. PrintedintheUnitedStatesofAmerica. (SPI/SBA) 9 8 7 6 5 4 3 2 1 springeronline.com Foreword Heterogeneous catalysis has shaped our past and will shape our future. Already involved in a trillion dollar’s worth of gross domestic product, catalysisholdsthekeytoneartermimpactareassuchasimprovedchemical process efficiency, environmental remediation, development of new energy sources,andnewmaterials.Furthermore,recentadvancesinunderstanding and computing chemical reactivity at the quantum level are opening new pathways that will accelerate the design of catalysts for specific functions. This enormous potential will ultimately be turned into reality in laboratory reactors and have its impact on society and the economy in the industrial reactorsthatlieattheheartofallchemicalprocesses.Becausethequantita- tivemeasureofcatalystperformanceisthereactionrate,itsmeasurementis central toprogress in catalysis. The pages that follow are a comprehensive guide to success for reaction rate measurements and analysis in catalytic systems. The topics chosen, the clarityofpresentation,andtheliberaluseofspecificexamplesilluminatethe full slate of issues that must be mastered to produce reliable kinetic results. The unique combination of characterization techniques, thorough discus- sion of how to test for and eliminate heat and mass transfer artifacts, evaluation of and validity tests for rate parameters, and justification of the uniformsurfaceapproximation,alongwiththemorestandardidealreactor analysesanddevelopmentofrateexpressionsfromsequencesofelementary steps, will enrich readers from both science and engineering backgrounds. Well-explained real examples and problems that use experimental data will help students and working professionals from diverse disciplines gain oper- ational knowledge. Thisbookcapturesthecareerlearningofanoutstandingcatalytickineti- cist. Drawing on experience that began with a paper showing the power of physical chemical and thermodynamic constraints for eliminating incorrect rateformulationsandincludesacitationclassicpaperontheCOhydrogen- ation reaction over group VIII metals plus the development of rate expres- sions for a wide variety of catalyst systems, Vannice captures not only the theory of the Boudart school of chemical kinetics, but also its practical v vi Foreword application. He has created a resource that will help the next generation of catalytic scientists and engineers provide the validated kinetic analyses that will be critical to thedevelopment of nano,micro,andmacroscale catalytic systems ofthe future. W. NicholasDelgass Purdue University January2005 Preface The field of catalysis, especially heterogeneous catalysis, involves the util- ization of knowledge from various disciplines, including chemical engineer- ing,chemistry,physics,andmaterialsscience.After more thantwodecades ofteachingagraduatecourseincatalysis,whosemembershipwascomprised primarilyofstudentsfromtheaboveprograms,andconsultingwithnumer- ous industrial researchers, it became apparent to me that a book would be useful that focused on the proper acquisition, evaluation and reporting of rate data in addition to the derivation and verification of rate equations based on reaction models associated with both uniform and nonuniform surfaces.Suchabookshouldfamiliarizeandprovideitsreaderwithenough background information to feel comfortable in measuring and modeling heterogeneous catalytic reactions. For a single individual to attempt such anundertakingisalmostaguaranteethatsomeissueswillbeaddressedless adequately than others; regardless, I hope that these latter topics will meet minimum standards! My goal is a text that will be self-contained and will provide a convenience forthe practitioner incatalysis. I would first like to acknowledge here the people who have been most influential in my life and have inspired me to this point in my career, whereupon I have been willing to undertake the effort to write this book (which is bound to reveal some of my deficiencies, I am sure!). Clearly, I mustthankmyparentswho,duringthetimeIattendedasmallhighschool of 19 students in Nebraska, always had me oriented towards a college education. Second, I gratefully acknowledge my graduate school mentor, ProfessorMichel Boudart,whocreatedmyinterestinkineticsandcatalysis andinstilledinmethenecessityofaccurate,reproducibledata.Third,Inote my friends from graduate school, especially Professor Nicholas Delgass, who have continued to educate me during the past three decades. (They have upheld the old adage that one should never stop learning.) Fourth, I mustmentionmygraduatestudents,whohaveprovidedmemuchpleasure, not only in their accomplishments as we worked together, but also in the successes they have subsequently achieved. In particular, I would like to express special appreciation to one of them, Dr. Paul E. Fanning, who vii viii Preface graciouslyvolunteeredhistimetoverycarefullyproofreadthistextbookand offer valuable suggestions. Also, I would like to acknowledge the review of Chapter6.3andthecommentsofferedbyDr.EvgenyShustorovich,bothof which were greatly appreciated. Next, I would like to thank my secretary, KathyPeters,forherpatienceandpersistenceduringthetimeshetypedthe drafts of these chapters as they traveled, at times uncertainly, via air mail betweenAlicante,SpainandPennState.Imustalsoexpressmygratitudeto ProfessorFranciscoRodriguez-ReinosoforhishospitalityattheUniversity ofAlicanteduringmyone-yearsabbaticalstaytheretowritethisbook.Last, butcertainlynotleast,Isincerelythankmywife,BetteAnn,forherpatience andunderstandingduringthemanydaysandnightsIwasabsentduringthe pastthree decadeswhileworkingin thelabto establish aresearch program or attendingnecessary scientific meetings (invariably on herbirthday!).She was also kindenough tooffer hersecretarialskillsandproofread this book from a grammatical perspective. Contents Foreword....................................................... v Preface ....................................................... vii List ofSymbols ............................................... xiii 1. Regular Symbols ...........................................xiii 2. Greek Symbols............................................. xv 3. Subscripts .................................................xvi 1. Introduction................................................. 1 2. Definitionsand Concepts ...................................... 5 2.1 Stoichiometric Coefficients .............................. 5 2.2 Extent of Reaction ..................................... 5 2.3 Rate ofReaction....................................... 6 2.4 TurnoverFrequency or Specific Activity................... 6 2.5 Selectivity............................................. 8 2.6 Structure-SensitiveandStructure-Insensitive Reactions ...... 8 2.7 ElementaryStep and RateDeterminingStep (RDS)......... 8 2.8 Reaction Pathway orCatalytic Cycle..................... 10 2.9 Most Abundant Reaction Intermediate (MARI)........... 11 2.10 Chain Reactions ...................................... 11 2.11 Reaction Rates in Reactors............................. 11 2.12 Metal Dispersion (Fraction Exposed) .................... 12 2.13 Metal-SupportInteractions(MSI) ....................... 12 References................................................. 13 3. Catalyst Characterization .................................... 14 3.1 Total (BET) Surface Area ............................... 15 3.2 Pore Volume and PoreSize Distribution................... 17 3.2.1 HgPorosimetry Method .......................... 17 3.2.2 N Desorption Method ........................... 18 2 3.2.3 Overall PoreSize Distribution ..................... 18 3.3 Metal Surface Area, CrystalliteSize, and Dispersion ........ 19 ix x Contents 3.3.1 Transmission ElectronMicroscopy(TEM)........... 19 3.3.2 X-Ray Techniques ............................... 20 3.3.2.1 Line Broadeningof X-Ray Diffraction (XRD) Peaks............................ 20 3.3.2.2 Extended X-RayAbsorption Fine Structure(EXAFS)....................... 22 3.3.3 Magnetic Measurements .......................... 23 3.3.4 Chemisorption Methods .......................... 23 3.3.4.1 H Chemisorption........................ 23 2 3.3.4.2 CO Chemisorption ....................... 28 3.3.4.3 O Chemisorption........................ 30 2 3.3.4.4 H(cid:2)O Titration Techniques ............... 31 2 2 3.3.5 Relationships Between Metal Dispersion, Surface Area, and CrystalliteSize .................. 32 References................................................. 33 Problems.................................................. 35 4. Acquisition and Evaluation ofReaction Rate Data................ 38 4.1 Typesof Reactors...................................... 38 4.1.1 Batch Reactor................................... 38 4.1.2 Semi-Batch Reactor.............................. 42 4.1.3 Plug-FlowReactor (PFR)......................... 42 4.1.4 Continuous Flow Stirred-Tank Reactor(CSTR)...... 49 4.2 Heat and Mass Transfer Effects.......................... 51 4.2.1 Interphase (External) Gradients (Damko¨hler Number) ............................ 52 4.2.1.1 Isothermal Conditions .................... 52 4.2.1.2 NonisothermalConditions................. 55 4.2.2 Intraphase (Internal)Gradients (Thiele Modulus)..... 56 4.2.2.1 Isothermal Conditions .................... 56 4.2.2.2 NonisothermalConditions................. 61 4.2.2.3 Determining an Intraphase(Internal) Effectiveness Factor from a Thiele Modulus.......................... 61 4.2.3 Intraphase Gradients(Weisz-Prater Criterion)........ 63 4.2.3.1 Gas-Phase orVapor-PhaseReactions ....... 63 4.2.3.2 Liquid-Phase Reactions ................... 67 4.2.4 OtherCriteriato Verify the Absence ofMassand Heat Transfer Limitations (The Madon-BoudartMethod) .................... 77 4.2.5 Summary ofTestsforMassand Heat Transfer Effects ................................. 80 References................................................. 82 Problems.................................................. 84