Solution Manual For An Introduction To Combustion: Concepts And Applications, 3rd Edition

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SOLUTIONSMANUALtoaccompanyANINTRODUCTIONTOCOMBUSTION:ConceptsandApplicationsThirdEditionStephenR.TurnsPropulsionEngineeringResearchCenterandDepartmentofMechanicalandNuclearEngineeringThePennsylvaniaStateUniversity

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DownloadedfromStudyXY.com®+StudyXYSdYe.o>\|iF’prE\3SStudyAnythingThisContentHasbeenPostedOnStudyXY.comassupplementarylearningmaterial.StudyXYdoesnotendroseanyuniversity,collegeorpublisher.Allmaterialspostedareundertheliabilityofthecontributors.wv8)www.studyxy.com

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PREFACEThissolutionsmanualhasbeendevelopedtosupplementthethirdeditionofANINTRODUCTIONTOCOMBUSTION:ConceptsandApplicationsbyS.R.Turns.Thesolutiontoeachproblemispresentedinthesameformattoencouragestudentstodevelopanorganizedapproachtoproblemsolving.Althoughamoredetailedformatcouldbeadopted,theapproachusedhereis,first,topresentalistofgivenorreadilyobtainedinformation;second,tolistwhatistobedetermined;third,tolistthemajorassumptions;fourthtopresentthesolution,beingcarefultoindicateequationnumbersandotherreferences;and,lastly,tocommentonthesolution.Thislaststep,frequentlyneglectedbystudents,isquiteimportantinthatitcanresultinstudentsreflectingonwhattheyhavelearnedfromtheproblem,questioningtheirassumptions,and,ingeneral,providingawidercontextfortheproblem.Thesolutiontoeachproblemstartsonanewpagetofacilitatecopyingandposting.Solutionstothefollowingproblemshavebeencorrectedfrompreviouseditions:4.7,13.3,13.4,13.5,13.9,and15.4.

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PeoBLEM2-1oven:Awwithamolarcompositionof79%0,andUT0,FIND:ThemassGacionof0,andNyomtheourAPPROACHThis«SivapleConversionproblemUsingMw,xEGMW;andY=7KfoGontlamilacomposibionKp:079adX,7029mixtureMolecularweightmw,==X;Mwy=Xo,MW,+Xo,MWe,=0.71(28.013)+(0.2)(32)=23.35%.MassFeackionofo,and.N+Mido32[Ax(55)=0%(7%)=0.233Mp,23.03\_ToXan(5):012385)=0.77CommendssMolethotYor>,SheeMW,>Mu,andFhatzYi=1aswould[3expect.

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PROBLEM2-2Gen:TheFolloramgrareSpecies.*MowesxX;YMW,co0.0950.0020.Coz28.010C0260.1270.495gy.0nHyo70.470.0%LoiNo34077220.79723.013mo@oos|wwewxigt30.00Tw:HlIeIoFrodea)Themolefochon|mde7,andppmofNomFheminebDefermmetleMwofhamixchye9DekrmmethemassCachoofeachconsbhuentNeNo6.00SAKTTENGTR+Wy,thy+Ny00S+C+73440.008Ws=1061GENVmmox#10NocAper=orm(100)-Treg(i)=Wo{1516°)=[106ppm|WheeA2Avogadro'sMuamsberB)Mp.=ZGMw;=XpMW,+Xoo,Mo,FKyoUG4X,MU),+XpM,whereXe,Ke,|KoyandKy,afodmthesameMameasXK,wasfoundMyc=(0.062)(28.01)+(0,17)ddan)+(0.149)().00¢)+om(18.0%)4(1oY33000)Mo=23:650MR;aYiX%mo,Tc:Y=(o-0oR)aw0152.)=0.002opaixCo,Y=(0.1727)(44.01/2.6)=0.198(V/AHootY=(od(rag/angy=0.0MNyiY=(722)(zon/zve)20797NotY=(Josie)(30.006¢/2%.€)=11x16COMMENTS=MoleFhatPpMmEx);(1x16)analthat2%:andZY:Camolenbeused+checkyour“

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FRoBLem2-3cwEL2MixturewithSTmeleHyandZBEmelOpFINDYop5Yo,5MWNi,7SOLUTIONNeBsA,=—A=>Zo.62a)¢Noe4tH,+3[o.¢e5]Uy=/=Ty=ImoeT=|237°5)Myr,=ZFeMG=ToyMy,+Ao,Mil=0.615(2.006)+,375(31.999):CMe2.0060.095]<——Ee.=zi=—=)Y;5Maxbfe0,62513,2600.09Y,,=/-Yu=J—0.095"=0,705ommerTEenThoaghTepote“rachonpAHoligrelsmitbeeedonweght"resultsinitstory“smallpasesrach,

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PROBLEM2-4GENLtOy—Clymixture@F00kFFJooBT;Np,|=0.2FIND¢Tei,5Mo,|ASSOMPTIONS©dead.asmixture.SoLoTI0M)Mlsa=Mere)Tet,Hat,MWyary,=det,-MWcsbyYuk,MW,+(1—-etyyMR,=o,1e2%36,2(16.043)0.2(16.043)+0,8(5/.999)28.508»-,5)Ry7=My,TTZu,=Ken,PJwfp=Te2RoT°.2=(62)Pot”|ia5bet83/5(30a)m3Comme:GretelTreatmentofvatsisreguired,mn.part+,

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PROBLEM2-5GWEN:Ny=Arpyxclure.witnMoo=3MgrsT=Stok,P=zSlRAFoe1No,MU,BveB)Mow17AssomeTiinicdendgasmixture’20¢uT0ad2Vy,=JSMe32p75]ApxBN,+Np4_Bp=1-077=|0.255)Min,=27Mu=5,75(28.004)+0.25(39.94%)Mpg=30.998Mop,2g.0dDhGn=077FmTo.Yoo=~Yo=0.322d)RY=n,RT5Fo=FuBoeNy,[Y=TonFe=(0.75)2s0-10°=0,045]®.T23s”(500)|kroJm®LommaisT¢CoredFreatmentofunits«pretinpertod.

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PROGLEN.2-6Give)+C950,mixctuwewideAy,=o)Thy=0.9T=okFINDStandardzedenthalpyo£puxctureASSOMPATIO4Tdeal-garbehaviorsocuT7ont+Thisisa5TrarghtforeadappliotroofZa2.454combinedwith,TAafinfrre4ctoadoadpedenthalpy(Za.2.34).heo.=bo,+bh,=~393sar+2003(Table2)=-389,5¢3£T/omethy,=k+sl,=6+533)=3030KTlbpets>ves(TubeAlt)Prone=2%k=oo,A,+“FoA,(5p2.150)=0.1(-3%9,5¥3)+0.9(3631)hoiy=-36226 £TonlyCOMMENT:TheuseofFreAppeadssASablesmaleTrieproblemSimple.Nyte_Toat—"Thestminformation.baoadableascarvefitopwotronsinTableA-13

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PRO®RLEM2-7Glen:AstoichiometricmidueofmethaneondairFivd=Themixhae malecularweightAssupTions:ArieconsistsofNyandOyandhastheFollowwngComposition©U7Opand79%KybyvolumeAPPROACH:DelerminetheStoichiometricohoofarandFelondAhernfindtheconshifuentmoleFachansandMpaShichiomehrerelationCoby+a02+3Uakdy=>XC0,+VoHO+3%aN,ethane©xlBakE—a=xtVA=Zsatheair-fuelstoichiomedicMixture1c|CHy+20;+72.820,nNog+iLechy=<HyNorNagtNothy052~BENo,=2Ko,®Mor=0.52oO.Oy,7.52MNy,®7:52Koy*TNTTres=O71Mw,=TXMW;=Key,MW,+Xo,MIs,+X,MW,=(0.098)(16.043)1(0.198)(32)+(0.715)(29.013)Mp=22.6ViemalCOMMENTS*I§thsasafuel-richor{uel-leonmctarexX+Yia=®WhereP=equivalencesroe

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PROBLEM~~2-®&GIVER:Astoichiometricair-prapace(CaM)riteFD:The shichiomebricAFmtio(mass)ASSUMPNONS®Airjscomprisedof79%N;and2176,byvolumeAPPROACH*DelermmethemolarArioandcovertbmassAFradioShoichiomebricrelation:Glg+aOy*37%aNy—>3c0,tYH0+3,xtYHi.-a="5x=3y=$=a=5A+3«Ka4.ToaMalarAfratioAJ=[:/AMairfar)MassAFrtio=(Ene(fees)=4%(Fs27.854)-5](?MASS4t(9)4.0%A=(OF)=15.6

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PROBLEM2-9GIVER:Propane(Hs)Bueningatanawfodpho(mass)of19%]ZIShETheequivalenceoko)¢ASSumpPnons:AwJscomprised,of797%Nyand27%0,byvolumeAPPROACH+DedermmethesStoichiomedrrcHEradioandthentheequivalencemioSthichiomebricrelation:4GHg+a0,+3%aly,=>3¢0,7HHa+3260,Lakxe..asrax3,v8,¢«|a=§A,Mac\2)=sYE)=Ya[55)4%)(Gio)6Equivalencerobo:(4)56.¢-BHCgo©0.87(GY.’¢-0%|Comments:SmeeP|thisCombustionprocessisfuel-lean.Alsonolethat@ oloesnotdepend”onwhethertheAFratiosareexpressedinbermsofmofesormassSee1]isalsoaho

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PROBLEM2-10GIVEN:Anequivalencerdsof0.4FIND:ThecorrespondmeAlcrakes(mass)formethane(CHy),propane(CaHg)ond~decane(¢,Haz)ASsumPnons:ficiscomprisedof797%Kyord2%0,byvolumeAPPROACH+Usetherelationships:Yu_MWpirax=andArs®4.7%MWgelmethane(cH)x=,y=,Mw=6.043“rele283¢acLogmHB)(Gn)Oo.Amass28.505Yg-felpropane(CHe)x=3,y=®,Mw=44.0%5mole3+%28.95a=SgcamHh)can(im)22)Af)=26745VeFeldecone(Coll)23.95z2335asotHh©2ST>Af),HH(257)(m=299)~Ks-aiviMh).=HThg-oelCOMMENTS©PelehaotheAFrobo(mass)Changesarlyshaktly[SSAyetrocarbonfelhbansther.WhileFheAFradi(molas)Vamesfrom/S9(methane)+123(lecane),ThisdifferencebehaviorisJuebtheMp,McreasivgasthemalasAFratiaMCveages.

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ProRLEM2-1]owen:37(byvolume)Ormeasuredintheexhaustofapropane(Hd-FueledruckFob:Theair-fuelroo(mass)suppliedfotheengineASSUMPTIONS©CompletecombustionwithnodissociationAppRoAcd+Useconservahonof0atomsfodetermmetheAFbefontheexhaustOxygenmoleFractionassumed,CombusHonreaction©GH+a0,+37%al,=>3C0,+9H,0+hOy+3%alyconservationofOatoms:Ra=3(z)+4+5(2)a=$rhb=a-$exhaust0,moleGractvon*SSXo,TN+Rye+R,+R,TOR+Y+b+37%usingb=a-6:a-£$+2K,Koy*Ya+2ATTux,Tzohact0;3%(byvile)—>X=0.032.$+2005ATxm=1=4.7%6(0.03)S90—MU,23.%5)Ase=47a(Fs)=4%(5:70)(FimAFoss=137CommenTs+Thisengine[5runningatafuel-leanconditionLhIAENSEEE)—$=oqTOE

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PROBLEM2-12GIVEN:|moleofaleahol(cyHyCz)UndergoingcomplelecombustionFon:Shichiameteiebalanceequationandnumberofmolesofairtobuen|moeofalcahdASSUMPTIONS©nodissociationandairthatis77M.and212.0,(vol)APPROACH+UseconsecvationofelementsorThecombughonofonemaleofaleohs!Stoichiomehrichelamce:CiHyOp+a0,+3%aly,=hCO,+CHO+37allyconservationofcarbonx=b—b=xconservahionofMH:y=2c—|C=%Conservationof©:2+2a=2b+C=2x+Yaa=X+W-%numberofmolesofairPBbuenmoleofaleshol¢Nae-a+3Xa-4.2%Neel/Maeoogae[xsY=Zh]NeelCOMMENTS©oethatstorchsometriccombustionofanalcohol(cetyay)requireslessOxygenHhanthecombushonofacomparblehydcathonLuelCexty)dueTBthepresenceofeyqomnthefuel|

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PROBLEM2/3Given:Metharol(cHoH)andtheresultsofproblem2-3Fmd:TheshichiomedricAFratio(Mass)awdcomparewithThatofmethane.APPROACH:(Use+herelabonshipdevelopednproblem2%ForAthmethan!andmethanemethanol(CH,OH)©CyHyOgX=yy2Mw=32Ymole2MWg,Ys*48[xheA)(i)sa[14%-4](£F)=CHA=7)6methane(cy):CxHyOyx=,y=,2:0MW=16HkmoleMai=_Z“Dons=4[x+2](Fos)_uw223¢w3c[14%-0)(5)A-%),.-17.2Comments:ThelameAfforencemntheAFrabiesformethandandmethaneisprimarilyduetothedifferencesinfuelmw,OnamolarbasistheAEcaboformethanejsT4and9.52formethane.

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