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    KINETIKA KIMIA

    BAMBANG WIDIONO

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    KINETIKA KIMIA ? "how fast do reactionsgo?"

    Untu a!a ? #anfaat $ Mata u%iah ter ait ? #ate#ati a&

    stoi io#etri& ' $

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    Understanding how chemical reactors work lies at the heart ofalmost every chemical processing operation.

    Design of the reactor is no routine matter, and many alternatives can be proposed for a process. Reactor design uses information,

    knowledge and experience from a variety of areas -thermodynamics, chemical kinetics, fluid mechanics, heat and masstransfer, and economics .

    CR is the synthesis of all these factors with the aim of properlydesigning and understanding the chemical reactor.

    What is Chemical Reaction Engineering(CRE) ?

    (he#ica%

    !rocess

    )aw

    #ateria%

    *e!aration

    +rocess

    *e!aration

    +rocess

    +roducts

    B, !roducts

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    T,!ica% (he#ica% +rocess

    +h,sica%treat#entste!s

    (he#ica%treat#entste!s

    +h,sica%treat#entste!s

    )aw#ateria%s

    - !re.treat#ent - se!arations

    - !urifications

    +roducts

    )EA(TION ENGINEE)ING

    Unit O!erations

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    Boo

    - O.Levenspiel: / (he#ica% )eactionEngineering 0

    - S.Fogler: /E%e#ents of (he#ica%)eaction Engineering0

    - 1 M *#ith 2 / (he#ica% Engineering

    Kinetics /- *tan%e, M Wa%as 2 / (he#ica% )eaction

    Engineering 3and4oo 0

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    !ersa#aan rea si tida da!at#en5awa4 6 isu !enting

    78 *e4era!a ce!at rea si 4er%angsung98 Bagai#ana onsentrasi rea tan dan !rodu

    saat rea si se%esai68 A!a ah rea si 4er5a%an dengan sendirin,a

    dan #e%e!as an energi& atau ah ia

    #e#er%u an energi untu 4erea si?

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    Kineti a i#ia

    - *tudi tentang ece!atan rea si i#ia danfa tor.fa tor ,ang #e#!engaruhin,a serta#e anis#e rea si

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    (%assification of )eactions

    Man, wa,s of c%assificationMost usefu% . according to nu#4er : t,!es of !hases

    3o#ogeneous2 reaction ta es !%ace in 7 !hase3eterogeneous2 reaction )E;UI)E* at %east 9 !hases

    +hase < unifor# +&T& (o#!osition

    According to the use = not use of cata%,stNoncata%,tic(ata%,tic

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    (%assification of )eactions

    3o#ogeneous

    3eterogeneous

    Noncata%,tic (ata%,tic

    Most gas.!hase reactions Most %i>uid.!hase r s

    @ast reactions such as4urning of a f%a#e

    ) s in co%%oida% s,ste#s

    En ,#e and #icro4ia% r s

    Burning of coa%

    Attac of so%ids 4, acids

    Gas.%i>uid a4sor!tionwith reaction

    A##onia s,nthesisO idation of a##onia!roduce to nitric acid

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    Menge s!resi an a5u )ea si

    t x

    t t x x

    ∆∆=−

    −==!"

    !"

    waktu#erubahan posisi#erubahan

    $erak%a&u

    t t t ∆∆−=−

    −−=

    ='()onst*')onst')onst

    waktu#erubahan'ikonsentras#erubahanreaksi%a&u

    !"

    !"

    [ ] [ ]t

    Bt

    A Laju

    ∆∆=∆

    ∆−=

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    3ow can reaction rate 4ee !ressed ?

    - *e%ect one reaction co#!onent forconsideration and define the rate in ter#sof this co#!onent& i 8

    - If the rate of change in nu#4er of #o%es ofthis co#!onent due to reaction is dN i /dt &then the rate of reaction in its Cariousfor#s is defined as fo%%ows2

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    )eaction )ate Definition

    - the rate at which a s!ecies %ooses its che#ica% identit, !er unit Co%u#e

    @or f%uid s,ste#s . 4ased on unit Co%u#e of f%uid = unit Co%u#e of reactor

    (time) fluid)of (volume formed imoles

    dt dN

    V r ii ==

    !(time)reactor)of (volume

    formed imolesdt

    dN V

    r ir

    i==′ !

    @or gas.so%id s,ste#s . 4ased on unit Co%u#e of so%id

    (time) solid)of (volume formed imoles

    dt dN

    V r i

    S i

    == !++

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    )eaction )ate Definition

    @or 9 f%uid s,ste#s = gas.so%id s,ste# . 4ased on unit interfacia% surface

    (time)(surface)

    formed imoles

    dt

    dN

    S r iS i ==

    !

    @or f%uid.so%id s,ste#s . 4ased on unit #ass of so%id

    (time) solid)of (mass

    formed imoles

    dt

    dN

    W

    r iwi ==!

    +++ir iS

    S i

    wii r V r V Sr Wr V r ====

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    *!eed of (he#ica% )eactions

    ce%%u%ar r s8

    watertreat#ent !%ants

    hu#anat rest

    wor inghard

    gases in !orouscata%,st !artic%es

    7 . 7 .6 7 .9 87 7 7 7

    roc etengines

    r i''

    = moles of i disappearing(m 3 of thing) (s)

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    )eaction )ate F e a#!%e 7

    The roc et engine2

    - 4urning a stoichio#etric #i ture of fue% %>8 h,drogen : o ,gen$

    - (,%indrica% co#4ustion cha#4er2 < Hc#& D< c#- +roduces 7 J g=s e haust gases

    )eaction rate ofh,drogen and o ,gen?

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    )eaction rate F e a#!%e 7

    dt

    dN

    V r H H

    "

    "

    !=−

    dt dN

    V r OO

    "

    "!=−

    3m L D

    V "!"!.(.*/

    (0.*/

    ""

    === π π

    O H O H """ "! →+

    smol mol !

    s! O H

    s

    ! 10

    (1*!2

    (1*! 2! 2 " ==

    ?

    smol

    used H 03"

    smol

    used O 43"

    smmoles

    smol

    r H ⋅

    ×==−4

    /!2."0

    "!"!.!

    " smmoles

    smol

    r O⋅

    ×==− 4/!/!.!

    4"!"!.!

    "

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    )e%ationshi! 4etween rates of

    reaction F e a#!%e 9The reaction carried out in a reactor2

    If at a !articu%ar !oint& the rate of disa!!earance of A is 7 #o%=d# 6=s& what

    are the rates of B and (?

    " B A 4" →+

    4"

    " B A r r r =−=− sdm

    mol sdm

    mol r r A B

    ⋅=

    ⋅=−=− 44 !"

    !4

    "4

    sdmmol

    sdmmol r

    r A" ⋅

    =⋅

    =−=− 44 ""!

    "

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    Kece!atan rea si- Kece!atan rea si die s!resi an 2

    To increase the rate 2- increasing the surface area of so%ids$.this a%%ows for #ore co%%isions and giCes

    #ore #o%ecu%es the right geo#etr,

    - increasing the te#!erature .this giCes #ore #o%ecu%es the right energ, a%soca%%ed the actiCation energ,& Ea$

    - increasing the concentration of gases and so%utions$.this a%%ows for #oreco%%isions and #ore correct geo#etr,

    - using a cata%,st .he%!s #o%ecu%es achieCe the correct geo#etr, 4, !roCiding adifferent wa, to react

    - The !h,sica% state so%id& %i>uid or gas$ of a reactant

    - Nature of reactants . Na is #ore reactiCe than (a it #ore easi%, %oses its outere%ectron$

    rate

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    Luas Permukaan Sentuhan- *uatu rea si #ung in 4an,a #e%i4at an

    !erea si da%a# 4entu !adatan- Menga!a e!ingan ,ang %e4ih ha%us 4erea si

    %e4ih ce!at? +ada ca#!uran !erea si ,angheterogen& rea si han,a ter5adi !ada 4idang

    4atas ca#!uran ,ang se%an5utn,a ita se4ut4idang sentuh8 O%eh arena itu& #a in %uas4idang sentuh #a in ce!at 4erea si8 1adi #a inha%us u uran e!ingan at !adat #a in %uas!er#u aann,a8

    - Artin,a #a in eci% u uran& #a in %uas!er#u aann,a& #a in 4an,a tu#4u an& #a ince!at ter5adin,a rea si

    h ff f

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    The effect of increasing te#!erature

    - When the te#!erature is raised the added heat energ,shows itse%f in the for# of increased !artic%e inetic energ,8In the gra!h a4oCe& two distri4ution curCes are shown for a%ower=higher te#!eratures& T7=T9& and it is assu#ed that thearea under the who%e curCe is the sa#e for 4othte#!eratures i8e8 the sa#e nu#4er=!o!u%ation of #o%ecu%es8

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    - (o#!aring lower temperature T1 with higher temperature T2 & ,ou can see that asthe te#!erature increases & the !ea for the #ost !ro4a4%e KE is reduced& and #oresignificant%, with the rest of the KE distri4ution& #oCes to the right to higher Ca%ues so#ore !artic%es haCe the highest KE Ca%ues 8

    - Now& if we consider an acti ation energ! Ea & the #ini#u# KE the !artic%es #ust haCeto react Cia e8g8 4ond 4rea ing& the fraction of the !o!u%ation a4%e to react at T1 isgiCen 4, the "lue area 8

    - 3oweCer& at the higher te#!erature T2 & the fraction with enough KE to react is giCen 4,the co#4ined "lue area plus the re# area 8

    - Therefore& 4ecause of the shift in the distri4ution at the higher te#!erature T9& agreater fraction of !artic%es has the #ini#u# KE to react and hence a greater chanceof a fruitfu% co%%ision ha!!ening i8e8 reactant #o%ecu%e 4onds 4rea ing en route to!roduct for#ation8

    - In the diagra#& for the sa e of argu#ent& a te#!erature rise fro# T7 to T9 resu%ts inthe fraction of !artic%es with a KE of L

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    The e%%ect o% a catal!st

    -

    - A cata%,st s!eeds u! a reaction& 4ut it #ust 4e

    inCo%Ced che#ica%%,&howeCer te#!orari%, & inso#e wa,& and is continua%%, changed andrefor#ed as the reaction !roceeds8

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    - (ata%,sts wor 4, !roCiding an a%ternatiCe reaction !athwa, of %oweractiCation energ,& e8g8 it can assist in endother#ic 4ond 4rea ing!rocesses

    - If ,ou consider the KE distri4ution curCe a4oCe& at a fi edte#!erature& the green area shows the #o%ecu%es which haCesufficient KE to react and oCerco#e the actiCation energ, Ea1 forthe un.cata%,sed reaction8

    - 3oweCer& in the !resence of a cata%,st & the lower actiCation energ,Ea2 & a%%ows a #uch greater !ro!ortion of the #o%ecu%es to haCeenough energ, to react at the sa#e te#!erature8

    - This is shown 4, the co#4ined green area plus the purple area

    and this increased fraction of #o%ecu%es increased area$considera4%, increases the chance of a fruitfu% co%%ision %eading to!roduct for#ation& so s!eeding u! of the reaction8

    C t l! i

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    Catal!sis Catal!st 2 a su4stance that increases the

    rate of a reaction and can 4e recoCeredche#ica%%, unchanged at the end of thereaction8

    - Kata%is da!at 4e er5a dengan #e#4entusen,awa antara atau #enga4sor!si at,ang direa si an8

    ' catalyst

    %ower the activation energy

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    &cti ation energies o% catal!se#reactions

    Reaction

    """ # H H# +→

    Catalyst E a / kJ mol -1

    ""4 4" H N NH +→

    5one

    'u

    #t

    5one

    6

    !2/

    !

    ! 7

    6 HD

    7 I9

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    ON*ENT)A*I

    - Bi%a onsentrasi !erea si di!er4esarda%a# suatu rea si& 4erarti era!atann,a4erta#4ah dan a an #e#!er4an,a

    e#ung inan ta4ra an sehingga a an#e#!erce!at %a5u rea si8

    - Bi%a !arti e% #a in 4an,a & a i4atn,a %e4ih4an,a e#ung inan !arti e% sa%ing4ertu#4u an ,ang ter5adi da%a# suatu%arutan& sehingga rea si 4erta#4ah ce!at8

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    MEKANI*ME )EAK*I

    - serang aian rea si taha! de#i taha! ,angter5adi 4erturut.turut se%a#a !roses!eru4ahan rea tan #en5adi !rodu 8

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    - *etia! taha! #e anis#e rea si diatas&#e#!un,ai %a5u tertentu8 Taha! ,ang!a%ing lam"at dise4ut tahap penentu la'ureaksi & aren taha! ini #eru!a an!engha%ang untu %a5u rea si secara

    ese%uruhan8

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    The )ate E>uation = *toichio#etr,

    aA + bB → cC + dD

    dt dN

    V r A

    A!

    =− rate of disa!!earance of A

    dt dN

    V r " "

    != rate of a!!earance of (

    d r

    cr

    $r

    ar D" B A ==−=−

    )e%ationshi!4etween rates ofreaction

    ) ) d )

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    )eaction )ates and )eaction*toichio#etr,

    - oo at the reaction

    O 6 g$ NO g$ → NO 9 g$ O9 g$

    [ ]

    dt

    ]Od[ +=

    dt

    ]NOd[ +=

    dt

    d[NO]-=

    dt

    Od-=rate 223

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    Another E a#!%e

    9 NO(% g$ → 9 NO 7 (% 9 g$

    [ ] dt d[Cl+=dt d[NO]21 =dt NOCld21-=rate2 ]+

    WHY? 2 moles of NOCldisappear for every 1 mole Cl 2 formed.

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    (onc8 = Te#!8 de!endenc, ter#s

    .(.,* tem%co&c f r =

    ,...(8,*(89*9 B A A " " f ' r =−)eaction rate

    constant$(oncentrationde!endent ter#s

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    +ersa#aan u#u#2aA 4B 888 ....L gG h3 88888

    - the reaction rate can 4e ca%cu%ated 4,2)eaction rate < A # Bn 8888

    Dengan2- A & B & etc8 are the concentrations of the reactants is the rate constant or rate coefficient& a Ca%ue

    de!endent on te#!erature8 units of < units of rate= units of concentration$ reaction order

    - #&n& etc8 are e !onents which corres!ond to a& 4& etc8The concentration is raised to the !ower of its coefficientin the 4a%anced e>uation8

    http://www.shodor.org/UNChem/glossary.htmlhttp://www.shodor.org/UNChem/glossary.html

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    )ate constant $

    ,...(8,*9 B A A " " f r =−

    Di#ensions Car, with order of reaction n$2&io&co&ce&trat time −− !! (*(*

    )eaction order

    #o%=#6$

    ( A

    #o%=#6$

    #o%=#6$

    #o%=#68s$

    #o%=#68s$

    #o%=#68s$

    .r A )ate %aw

    #o%=#6$=s r A =− A A " r =−"

    A A " r =−

    7=s

    # 6=#o%$=s

    ero

    7 st

    9nd

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    &rrhenius E uation

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    Temperature* Rates + the&rrhenius E uation

    - ,ne can calculate the rate constant %or a reaction using the&rrhenius e uation-

    - A is a constant representing the %raction o% collisions "etweenmolecules ha ing the correct orientation to react when thereactants ha e a concentration o% 1 ./ 0t is generall! not known/

    - ut A can "e %actore# out i% one ratios the e uation at twotemperatures/ ,ne t!picall! uses this mo#i%ie# &rrheniuse uation to either calculate E a alues %rom rate constants#eri e# %rom e periments at #i%%erent temperatures* or a rateconstant at a #i%%erent temperature i% one has alrea#!#etermine# E a/

    / E RT a Ak e

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    2

    1 1 2

    2

    1

    1 2

    1 1ln

    ln

    1 1

    a

    a

    k

    k R T T

    k R

    k

    T

    E

    T

    E

    ÷ ÷

    ÷

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    Problem:

    - 3ow much will the rate increase i% a r nhas a E a 4 56k7 an# the temperatureincreases %rom 8669 to :669?

    - & reaction has k 4 1/; < 16=> s =1 at;66 9/ When the temperature is

    increase# to 566 9 the new measure# k 4 ;/8; < 16=8 s =1/ Calculate the E a alue%or this reaction/

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    E%e#entar, = Non.e%e#entar,)eactions

    E%e#entar, reactions F iff stoichio#etric coefficients are the sa#e as theindiCidua% reaction order of each s!ecies

    Non.e%e#entar, reactions F stoichio#etr, does not #atch the inetics

    D" B A +→+

    B A A " " r =−

    stoichio#etric coeff2 !==== d c$a

    !== β α

    B A A " " r "=− "=α

    !=β

    C ! % l

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    Common t!pes o% rate laws-78 @irst Order )eactions - In a first order reaction the rate is !ro!ortiona% to the concentration

    of one of the reactants8 That is&v < rate < k B & 7$

    - where B is a reactant8 If we haCe a reaction which is nown to 4efirst order in B& such as

    B other reactants Q !roducts&- we wou%d write the rate %aw as&

    v < rate < k B & 9$- The constant& k & in this rate e>uation is the first order rate constant8

    98 *econd Order )eactions - In a second order reaction the rate is !ro!ortiona% to concentration

    s>uared8 @or e a#!%e& !ossi4%e second order rate %aws #ight 4ewritten as)ate < k B9 6$

    or as)ate < k A B 8 $

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    @irst Order )eaction

    A → !roduct)ate < C < . d A =d t < A

    3ow does the concentration of thereactant de!end on ti#e?

    kt A

    A

    o −=

    ln

    k has units of s -1

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    - 1adi !ersa#aan hu4ungan onsentrasi Adengan wa tu 2

    - Atau 4isa din,ata an hu4ungan antaraonCersi dengan wa tu 2

    t

    A

    A e" " −=

    t

    A A e" " −

    =

    ,

    t A A A

    e" ) " −=−,, (!*

    t

    Ae ) −−= !

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    T @&S 1

    - *uatu %arutan A dengan onsentrasi 7g#o%= da%a# reactor 4atch denganCo%u#e %arutan 9&H 4erea si #e#4entuB dengan !ersa#aan rea si A 6B&rea si #eru!a an rea si order 7 dengan

    ece!atan rea si rA< (A& dengan ni%ai

    < & 9 7=#enit 4era!a onsentrasi A&onCersi A serta onsentrasi B&( #au!un

    D sete%ah 6 #enit

    The 3a%f %ife of a @irst Order

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    The 3a%f.%ife of a @irst Order)eaction

    - @or a first order reaction& the ha%f.%ife t 7=9is ca%cu%ated as fo%%ows8

    k 6930

    t 21.

    =

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    - EXAMPLE: @i en the %ollowing e perimental kinetic #ata* #etermine the kineticrate e pression an# o erall or#er o% reaction/

    - 23gCl 2 $ C 2 , : 2= ====== 3g2 Cl 2 $ 2C, 2 $ 2Cl =

    - ,ur tentati e rate e pression %or this reaction is- rate 4 k A3gCl 2 B x AC2 , : 2=By

    - We nee# to #etermine what the e ponents ( orders ) x an# y are on the reactantconcentrations/ Then we can sol e %or the rate constant k /- Step 1- %in# two e periments where the concentration o% one o% the reactants

    sta!s the same/ Since the rate constant k is a constant an# the concentrationo% one o% the components is not changing (also a constant %or this comparison)*we onl! ha e to worr! a"out the one reactant that is changing/

    E p A3gCl 2B AC2, :2=

    B 0nitial Rate 7 6/16 . 6/1> . 2 16 => 9 6/16 . 6/86 . D 16 =>

    6 6/6> . 6/86 . : 16=>

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    Step 2- Repeat %or the other reactantconcentration terms in the rate e uation-

    R a t e( e p 2 )

    D 1 6= >

    : 1 6= >

    R a t e( e p 8 )4

    4

    4

    A Be x p # 2 &

    A Be x p # 3&

    x

    x

    x

    6 / 1 6

    6 / 6 >

    2 ( 2 ) x 4 1

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    ow that we ha e sol e# %or the or#ers o% thekinetic rate e pression* we can write out the

    rate e uation-

    - rate 4 k A3gCl 2BAC2, : 2=B2

    - The overall order o% the rate e pression is thesum o% the in#i i#ual or#ers ( x $ y )- 1 $ 2 4 8/So this is calle# a thir# or#er r n or rate law/

    - ote that the or#ers F, ,T correspon# to thecoe%%icients on the chemical e uation/ .an!times the! #o* "ut 'ust as man! times the!wonGt/ There is , H,R.&L C, ECT0, II

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    Step 8- Calculate the rate constant (i% aske# %or)/ Wenow 'ust plug in the e perimental #ata %rom an! one o%the e periments an# rearrange an# sol e %or k * the rate

    constant/ Hor this e ample we will use the #ata %rome periment 1/

    r a t e 2 4 A 3 g C l B A C ,=B2 2 :2k

    A 3 g C l B A C ,=B2 2 :2 2k 4

    k 4

    k 4

    r a t e

    2 1 6? = >

    2 1 6? = >

    2 / 2 > 1 6? = 8

    k 4 D / D D 1 6? = 8

    ( 6 / 1 6 . ) ( 6 / 1 > . )2

    . s e c= 1

    . s e c= 1

    . 8

    . s e c= 2 = 1

    Pro"lem- Consi#er the %ollowing reaction an#

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    Pro lem Consi#er the %ollowing reaction an#kinetic #ata/ What is the kinetic rate

    e pression? - i(C,) : $ C C3 8 i(C,) 8(C C3 8) $ C,

    E p A i(C,) : B AC C3 8B 0nitial Rate(.sec =1)

    7 6/6: 6/6; 6/2 16 =>

    9 6/6: 6/12 6/2 16 =>

    6 6/6D 6/6; 6/: 16=>

    6/6D 6/12 6/: 16 =>

    P "l C i# h % ll i i #

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    Pro"lem- Consi#er the %ollowing reaction an#

    kinetic #ata/ What is the rate constant? - C,( g ) $ 3 2 ,( g ) C, 2 (g ) $ 3 2 (g )

    E p AC,B A32,B 0nitial Rate (.sec =1)

    7 1/> 1/> &99 1/> :/> &

    6 8/6 :/> 7&9

    1/> 6/5> &7

    H 8/6 8/6 &J

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    +seudo.first Order contVd$- *ince the concentration of 3 9 O is

    essentia%%, constant

    C < (36

    I constant< (3 6 I where < 39 O

    - The reaction is !seudo first order since ita!!ears to 4e first order& 4ut it is actua%%,a second order !rocess8

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    *ing%e = Mu%ti!%e )eactions

    *ing%e reaction F 7 e>uation : 7 sing%e rate e>uation

    Mu%ti!%e reactions F #ore than 7 rate e>uation needed

    *eries reactions2 S * A →→

    +ara%%e% reactions2 * B A →+S B * →+

    A *

    S

    * A →S B →

    D" B A +→+

    co#!etitiCe side 4, side series : !ara%%e%

    Physicalh

    Reaction

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    Chemistry Homogeneous Catalysis

    has been set e=ual to !.(

    88989989

    4" −+= Br O H HOOH ,

    dt Od

    Kinetics

    PhysicalCh i Types of Homogeneous

    ReactionKi i

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    Chemistry Types of HomogeneousCatalysis

    :eterogeneous catalysis normally depends on at least one reactant being adsorbed *usually chemisorbed( and modified to a form inwhich it readily undergoes reaction.

    :omogeneous catalysis

    'cid catalysis

    ?ase catalysis

    −+ +→+ A H) HA ) reacts

    +− +→+ BH ) B )H reacts

    ?r@nsted acid

    ?r@nsted base*many organic reactions(

    Autocatalysis

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    Chemistry Autocatalysis - A →

    x A A −= 8989 x - - += 89898899 - A r =

    ( )( ) x - x A dt dx +−= 8989

    ( )( )

    ++−×+=+− x - x A - A x - x A 89!

    89!

    8989!

    8989!

    Antegration by partial fractions, using

    ( )( )

    t x A -

    A x - - A

    =

    −+

    + 89898989ln

    8989!

    at

    at

    $e

    e - x

    +

    −=!

    !89

    (898*9 - A a +=8989

    A -

    $ =

    't what time is the reactionrate a maximumB

    Homewo

    rk No. 1

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    Chemistry Unimolecular Reactions#he $indemann-%inshel&ood 'echanism

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    Chemistry Unimolecular Reactions#he $indemann-%inshel&ood 'echanism

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    Chemistry Unimolecular Reactions#he $indemann-%inshel&ood 'echanism

    89898989

    "4

    "4!C4 A

    A A dt - d +== >

    898989

    "

    4! A A

    dt - d ==

    "

    4!

    =

    4" 89 A

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    Chemistry mpro!ements of theTheory

    !!(' 'echanism

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    KATA I* 3ETE)OGEN

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    KATA I* 3ETE)OGEN-

    Ban,a %oga# ,ang da!at #engi at cu u!4an,a #o%e u%.#o%e u% gas !ada!er#u ann,a& #isa%n,a Ni& +t& +d dan X8 Ga,atari #enari antara ato# %oga# dengan#o%e u% gas da!at #e#!er%e#ah i atan oCa%en!ada #o%e u% gas& dan 4ah an da!at#e#utus an i atan itu8 A i4atn,a #o%e u% gas,ang terad4or!si !ada !er#u aan %oga# ini#en5adi %e4ih rea tif dari!ada #o%e u% gas ,angtida tera4sor4si8 +rinsi! ini ada%ah er5a dari

    ata%is heterogen& ,ang 4an,a di#anfaat anuntu #eng ata%isis rea si.rea si gas8

    )EAK*I KATA I*

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    )EAK*I KATA I*- at A dan at B ,ang direa si an #e#4entu at AB

    dengan at ( se4agai ata%is8 AB A B YYF rea si %a#4at$- Bi%a tan!a ata%is di!er%u an energi !enga tifan ,ang

    tinggi dan ter4entu n,a AB %a#4at8 Na#un& denganadan,a A( rea si ce!at$8 ata%is (& #a a ter5adi%ah

    rea si2 A (Y- Energi !enga tifan diturun an& A( ter4entu ce!at danse eti a itu 5uga A( 4erea si dengan B #e#4entusen,awa AB(8

    A( B AB( re YYa si ce!at$

    - Energi !enga tifan rea si ini rendah sehingga dengance!at ter4entu AB( ,ang e#udian #engurai #en5adi AB dan (8

    AB AB( YYF ( rea si ce!at$