chemicalreactionengineering3ededition作者octaveLevenspiel课后习题标准答案Word文件下载.docx

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32,000m3/day

Treatmentplant

Cleanwater

200mgO2

needed/liter

Meanresidence

time=8hr

ZeroO2needed

FigureP1.1

Solution:

1.2Coalburningelectricalpowerstation.Largecentralpowerstations（about1000MWelectrical）usingfluidingbedcombustorsmaybebuiltsomeday（seeFig.P1.2）.Thesegiantswouldbefed240tonsofcoal/hr（90%C,10%H2）,50%ofwhichwouldburnwithinthebatteryofprimaryfluidizedbeds,theother50%elsewhereinthesystem.Onesuggesteddesignwoulduseabatteryof10fluidizedbeds,each20mlong,4mwide,andcontainingsolidstoadepthof1m.Findtherateofreactionwithinthebeds,basedontheoxygenused.

Chapter2KineticsofHomogeneousReactions

2.1AreactionhasthestoichiometricequationA+B=2R.Whatistheorderofreaction?

Becausewedon’tknowwhetheritisanelementaryreactionornot,wecan’ttelltheindexofthereaction.

2.2Giventhereaction2NO2+1/2O2=N2O5,whatistherelationbetweentheratesofformationanddisappearanceofthethreereactioncomponents?

2.3Areactionwithstoichiometricequation0.5A+B=R+0.5Shasthefollowingrateexpression

-rA=2C0.5ACB

Whatistherateexpressionforthisreactionifthestoichiometricequationiswrittenas

A+2B=2R+S

Nochange.Thestoichiometricequationcan’teffecttherateequation,soitdoesn’tchange.

2.4Fortheenzyme-substratereactionofExample2,therateofdisappearanceofsubstrateisgivenby

-rA=,mol/m3·

s

Whataretheunitsofthetwoconstants?

2.5ForthecomplexreactionwithstoichiometryA+3B→2R+Sandwithsecond-orderrateexpression

-rA=k1[A][B]

arethereactionratesrelatedasfollows:

rA=rB=rR?

Iftheratesarenotsorelated,thenhowaretheyrelated?

Pleaseaccountforthesings,+or-.

2.6Acertainreactionhasarategivenby

-rA=0.005C2A,mol/cm3·

min

Iftheconcentrationistobeexpressedinmol/literandtimeinhours,whatwouldbethevalueandunitsoftherateconstant?

2.7Foragasreactionat400Ktherateisreportedas

-=3.66p2A,atm/hr

（a）Whataretheunitsoftherateconstant?

（b）Whatisthevalueoftherateconstantforthisreactioniftherateequationisexpressedas

-rA=-=kC2A,mol/m3·

（a）Theunitoftherateconstantis

（b）

Becauseit’sagasreactionoccuringatthefinedterperatuse,soV=constant,andT=constant,sotheequationcanbereducedto

Sowecangetthatthevalueof

2.9Thepyrolysisofethaneproceedswithanactivationenergyofabout300kJ/mol.

Howmuchfasterthedecompositionat650℃thanat500℃?

2.11Inthemid-nineteenthcenturytheentomologistHenriFabrenotedthatFrenchants（gardenvariety）busilybustledabouttheirbusinessonhotdaysbutwererathersluggishoncooldays.CheckinghisresultswithOregonants,Ifind

Runningspeed,m/hr

5

370

Temperature,℃

13

16

22

24

28

Whatactivationenergyrepresentsthischangeinbustliness?

Suppose,

sointercept

-3.1780

-3.1135

-2.7506

-2.5017

-2.2752

3.4947

3.4584

3.3881

3.3653

3.3206

-y=-5147.9x+15.686

Also,intercept=15.686,

Chapter3InterpretationofBatchReactorData

3.1If-rA=-（dCA/dt）=0.2mol/liter·

secwhenCA=1mol/liter,whatistherateofreactionwhenCA=10mol/liter?

Note:

theorderofreactionisnotknown.

Informationisnotenough,sowecan’tanswerthiskindofquestion.

3.2Liquidasedomposesbyfirst-orderkinetics,andinabatchreactor50%ofAisconvertedina5-minuterun.Howmuchlongerwouldittaketoreach75%conversion?

BecausethedecompositionofAisa1st-orderreaction,sowecanexpresstherateequationas:

Weknowthatfor1st-orderreaction,,

Soequ

（1）

equ

（2）

So

3.3Repeatthepreviousproblemforsecond-orderkinetics.

Weknowthatfor2nd-orderreaction,,

Sowehavetwoequationsasfol