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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
[email protected] acid
[email protected] 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$