chemical-reaction-engineering(答案)

CorrespondingSolutionsforChemicalReactionEngineeringCHAPTER1OVERVIEWOFCHEMICALREACTIONENGINEERING..................................................1CHAPTER2KINETICSOFHOMOGENEOUSREACTIONS......................................................................3CHAPTER3INTERPRETATIONOFBATCHREACTORDATA................................................................7CHAPTER4INTRODUCTIONTOREACTORDESIGN............................................................................19CHAPTER5IDEALREACTORFORASINGLEREACTOR.....................................................................22CHAPTER6DESIGNFORSINGLEREACTIONS......................................................................................26CHAPTER10CHOOSINGTHERIGHTKINDOFREACTOR..................................................................32CHAPTER11BASICSOFNON-IDEALFLOW............................................................................................34CHAPTER18SOLIDCATALYZEDREACTIONS........................................................................................431Chapter1OverviewofChemicalReactionEngineering1.1Municipalwastewatertreatmentplant.Consideramunicipalwatertreatmentplantforasmallcommunity(Fig.P1.1).Wastewater,32000m3/day,flowsthroughthetreatmentplantwithameanresidencetimeof8hr,airisbubbledthroughthetanks,andmicrobesinthetankattackandbreakdowntheorganicmaterial(organicwaste)+O2microbesCO2+H2OAtypicalenteringfeedhasaBOD(biologicaloxygendemand)of200mgO2/liter,whiletheeffluenthasamegligibleBOD.Findtherateofreaction,ordecreaseinBODinthetreatmenttanks.FigureP1.1Solution:)/(1017.2)/(75.183132/100010001)0200()(313200031320001343333smmoldaymmoldaymolgmLmggLmgdaydaymdaydaymVdtdNrAA1.2Coalburningelectricalpowerstation.Largecentralpowerstations(about1000MWelectrical)usingfluidingbedcombustorsmaybebuiltsomeday(seeFig.P1.2).Thesegiantswouldbefed240tonsofcoal/hr(90%C,10%H2),50%ofwhichwouldburnwithinthebatteryofprimaryfluidizedbeds,theother50%elsewhereinthesystem.Onesuggesteddesignwoulduseabatteryof10fluidizedbeds,each20mlong,4mwide,andcontainingsolidstoadepthof1m.Findtherateofreactionwithinthebeds,basedontheoxygenused.Wastewater32,000m3/dayWastewaterTreatmentplantCleanwater32,000m3/day200mgO2needed/literMeanresidencetimet=8hrZeroO2needed2Solution:380010)1420(mV)/(9000101089.05.01024033hrbedmolchrkgckgcoalkgchrcoaltNc)/(25.111900080011322hrmkmolOtNVrrccO)/(12000412000190002hrbedmoldtdO)/(17.4800)/(105.113422smmolhrbedmoldtdOVrO3Chapter2KineticsofHomogeneousReactions2.1AreactionhasthestoichiometricequationA+B=2R.Whatistheorderofreaction?Solution:Becausewedon’tknowwhetheritisanelementaryreactionornot,wecan’ttelltheindexofthereaction.2.2Giventhereaction2NO2+1/2O2=N2O5,whatistherelationbetweentheratesofformationanddisappearanceofthethreereactioncomponents?Solution:522224ONONOrrr2.3Areactionwithstoichiometricequation0.5A+B=R+0.5Shasthefollowingrateexpression-rA=2C0.5ACBWhatistherateexpressionforthisreactionifthestoichiometricequationiswrittenasA+2B=2R+SSolution:Nochange.Thestoichiometricequationcan’teffecttherateequation,soitdoesn’tchange.2.4Fortheenzyme-substratereactionofExample2,therateofdisappearanceofsubstrateisgivenby-rA=A06]][[1760CEA,mol/m3·sWhataretheunitsofthetwoconstants?Solution:][]6[]][][[][03AACEAksmmolr3/][]6[mmolCAsmmolmmolmmolsmmolk1)/)(/(/][33332.5ForthecomplexreactionwithstoichiometryA+3B→2R+Sandwithsecond-orderrateexpression-rA=k1[A][B]4arethereactionratesrelatedasfollows:rA=rB=rR?Iftheratesarenotsorelated,thenhowaretheyrelated?Pleaseaccountforthesings,+or-.Solution:RBArrr21312.6Acertainreactionhasarategivenby-rA=0.005C2A,mol/cm3·minIftheconcentrationistobeexpressedinmol/literandtimeinhours,whatwouldbethevalueandunitsoftherateconstant?Solution:min)()(3'cmmolrhrLmolrAA22443'300005.0106610)(minAAAAACCrrcmmolmolhrLrAAAAACCcmmolmolLCcmmolCLmolC33'3'10)()(2'42'32'103)10(300300)(AAAACCCr4'103k2.7Foragasreactionat400Ktherateisreportedas-dtdpA=3.66p2A,atm/hr(a)Whataretheunitsoftherateconstant?(b)Whatisthevalueoftherateconstantforthisreactioniftherateequationisexpressedas-rA=-dtdNVA1=kC2A,mol/m3·sSolution:(a)Theunitoftherateconstantis]/1[hratm(b)dtdNVrAA1Becauseit’sagasreactionoccuringatthefinedterperatuse,soV=constant,andT=constant,sotheequationcanbereducedto522)(66.366.3)(1RTCRTPRTdtdPRTdtdPVRTVrAAAAA22)66.3(AAkCCRTSowecangetthatthevalueof1.12040008205.066.366.3RTk2.9Thepyrolysisofethaneproceedswithanactivationenergyofabout300kJ/mol.Howmuchfasterthedecompositionat650℃thanat500℃?Solution:586.7)92311731()10/(314.8/300)11(3211212KKKmolkJmolkJTTREkkLnrrLn7.197012rr2.11Inthemid-nineteenthcenturytheentomologistHenriFabrenotedthatFrenchants(gardenvariety)busilybustledabouttheirbusinessonhotdaysbutwererathersluggishoncooldays.CheckinghisresultswithOregonants,IfindRunningspeed,m/hr150160230295370Temperature,℃1316222428Whatactivationenergyrepresentsthischangeinbustliness?Solution:RTERTE