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ERT 208/4 REACTIONENGINEERING:Catalysis & Catalytic
Reaction MechanismPat !: The Rate
"imitin# $te%''!y( Ms )a*+a !inti $h
ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
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Rate "imitin#
$te%..
ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
hen heteo#eneo,s eactions ae caie o,t at$TEA1 $TATE'the ate o3 each o3 the eactionste% in seies 5aso%tion6 s,3ace eaction &eso%tion7 ae e,al to one anothe'
DsADA rrrr === '
only ONE %atic,la ste% in the seies is ,s,ally3o,n to 9e RATE "IMITING RATE CONTRO""ING
I3 ;e co,l ma-e this %atic,la ste% GO
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Rate "imitin# $te%..'''''cont'
ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
A$$=MPTION''
All the ste%s ae e>esi9le eaction'
Acti>ity o3 the s,3ace to;as aso%tion6
eso%tion s,3ace eaction is IN1EPEN1ENT o3co>ea#e'
The s,3ace is essentially ,ni3om as 3a as the
>aio,s ste%s in the eaction ae concene'
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Rate "imitin# $te%..''''''cont
ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
322 23 NHNH +
E?AMP"E @: A1$ORPTION "IMITE1 REACTION$ynthesis o3 Ammonia
Over an iron catal!t t"at #rocee$! % t"e &ollo'in
SHSH + 222
SNSSN
SNSN
++2
2
22
SNHSNH
SSNHSHSNH
SSNHSHSNH
SSHNSHSN
+++++ ++
33
32
2
Ra#i$
Rate"imitin#5aso%tion o3N2molec,les as
an N atom7
Ra#i$
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Rate "imitin# $te%..''''''cont
ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
22
2
1NCONOCO
Cu
++
E?AMP"E 2: $=R
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Rate "imitin# $te%..''''''cont
ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
( ) 63632356
HCHCCHCHHC +
$ynthesi+in# a Rate "a;6 Mechanism6 an Ra
E?AMP"E : 1ECOMPO$ITION O< C=MENE TO
7/23/2019 cumene adsorption
7/33ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
SCSC +
PSBSC +
SBSB +
Aso%tion
$,3ace Reaction
1eso%tion
A
Ac
kkK
=
S
S
Sk
kK
=
DB
BK
K 1=
SCAVCAAD CkCPkr =
SBPSSCSS CPkCkr =
VBDSBDD CPkPkr =
=
C
SCVCAAD
K
CCPkr
=
S
SBP
SCSSK
CPCkr
( )VBBSBDD
CPKCkr =
hich ste% is Rate "imitin# $te%...
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8/33ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
SCSC +The ate o3 aso%tion :
=
C
SC
VCAADK
CCPkr
@7 Is theA1$ORPTION o3 c,mene is Rate "im
Ass,m%tion
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The ate o3 aso%tion :
=
C
SC
VCAAD
K
CCPkr
Is theA1$ORPTION o3 c,mene is Rate "imiti
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
Is theA1$ORPTION o3 c,mene is Rate "imiti
The eso%tion ate eB%ession is :
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
Is theA1$ORPTION o3 c,mene is Rate "imiti
e -no; that 66
B
CS
PK
KKK ='[email protected]
=
C
SC
VCAADKCCPkr
P,t 57 in a9o>e
e,ation(
=
=
=
P
PB
CVAAD
CS
PBBCVAAD
CS
PVBB
VCAAD
K
PPPCkr
KK
PPKPCkr
KK
PCPKCPkr
hee
This tems is sim%ly theo>eall %atial %ess,ee,ili9i,m constant 3othis eaction'
PBC +
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
Is theA1$ORPTION o3 c,mene is Rate "imiti
To eliminate C>6 ;e ,se $ITE!A"ANCE6
P,t 587 an 57 in [email protected]
''VBB
S
PVBB
Vt CPKK
PCPKCC ++=
Total !ite! Ct5 C
v 6 CC7S7 6 C7S
acant
Site
Occ#ie$ Site(cene 3%enene
a$!or% on t"e!r&ace)
$ol>in# 3o C>6
( )BB
S
PBB
Vt PKK
PPK
CC ++= 1
BB
S
PBB
t
V
PK
K
PPK
CC
++=
1
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
Is theA1$ORPTION o3 c,mene is Rate "imiti
No;6 ;e %,t [email protected] [email protected]''
$o
++=
=
P
PB
C
BB
S
PBB
t
AAD
P
PB
CVAAD
KPPP
PKK
PPKCkr
KPPPCkr
1
BBSPBB
PPSCtA
ADcPKKPPK
KPPPCkrr
++
==/1
)/('
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
Is theA1$ORPTION o3 c,mene is Rate "imiti
No;6 ;e ;ish to s-etch a %lot o3 the initial ate asa 3,nction o3 %atial %ess,e o3 c,mene6Pco
$othe initial ate6
I3 the c,mene
ecom%osition isA1$ORPTION"IMITE16 then theinitial ate ;ill 9e
linea ;ith theinitial atial
BBSPBB
PPSCtA
ADc
PKKPPK
KPPPCkrr
++
==
/1
)/('
0== Bp PPInitially6 no %o,ct ae %esent6 so
COCOtACO kPPCkr == '
'COrinitial ate6
initial %atial %ess,e o3 c,
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
The ate o3 $=Rey $MA""
a oBimatel 0
PSBSC +
=
S
SBP
SCSSK
CPCkr '[email protected]
$ince ;e cannot eaily meas,e the conc o3 the aso9e s%ecies6;e m,st ,tili+e the aso%tion & eso%tion ste% to eliminate CC'$an C!'$ 3om this e,ation'
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
The aso%tion ate eB%ession is :
=
C
SC
VCAAD
K
CCPkr
Is the$=R
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
Is the$=R
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
Is the$=R
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
Is the$=R
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
Is the$=R
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
Is the$=R
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
Is the$=R
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
Is the$=R
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
The ate o3 1E$ORPTION:
7 Is the1E$ORPTIONo3 c,mene is Rate"imitin# $te%...
Ass,m%tion
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
The aso%tion ate eB%ession is :
=
C
SC
VCAAD
K
CCPkr
Is the1E$ORPTIONo3 c,mene is Rate"imitin# $te%...''cont''
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
Is the1E$ORPTION o3 c,mene is Rate"imitin# $te%...''cont''The $=R
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
Is the1E$ORPTION o3 c,mene is Rate"imitin# $te%...''cont''No;6 %,t 547 an 5F7 in [email protected]'
P
B
CS KK
KK=
e -no; that66
'587
Gas%hase
e,ili9i,mconstant
( )
V
P
B
P
c
CSDD
VBB
P
VcCS
DD
VBB
P
SCS
DD
VBBSBDD
CK
P
P
P
KKkr
CPKP
CPKKkr
CPKP
CKkr
CPKCkr
=
=
=
=
Is the 1E$ORPTION o3 c,mene is Rate
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
Is the1E$ORPTION o3 c,mene is Rate"imitin# $te%...''cont''
$ite !alance'
'57SCSBVt CCCC ++=
P
CCS
CC
t
V
P
CCS
CCVt
P
SCS
VccVt
P
PKKPK
CC
P
PKKPKCC
P
CK
CPKCC
++=
++=
++=
1
)1(
Is the 1E$ORPTION o3 c,mene is Rate
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
Is the1E$ORPTION o3 c,mene is Rate"imitin# $te%...''cont''
P,t [email protected] in 587'
CSCPCCP
P
PB
CSCtD
DC
P
CSC
CC
P
B
P
C
SCtDD
P
CSC
CC
t
P
B
P
C
SCDD
PKKPPKP
K
PPPKKCk
rr
P
PKKPK
K
P
P
PKKCkr
P
PKKPK
C
K
P
P
PKKkr
++
==
++
=
++
=
'
1/
1
Is the 1E$ORPTION o3 c,mene is Rate
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
Is the1E$ORPTION o3 c,mene is Rate"imitin# $te%...''cont''
$othe initial ate6
0== Bp PPInitially6 no %o,ct ae %esent6 so
To etemine the e%enence o3 the initial ate on%atial %ess,e o3 c,mene6 ;e a#ain set:
Initial ateine%enent o3 theinitial %atial %ess,eo3 c,mene
CSCPCCP
P
PB
CSCtD
DCOPKKPPKP
K
PPPKKCk
rr++
== '
tDDCO Ckrr == 'initial ate6
initial %atial %ess,e o3 c,mene6Pco
'COr
$=MMAR O< T)E C=MENE
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
$=MMAR O< T)E C=MENE1ECOMPO$ITIONThe eB%eimental o9se>ation o3 Hcoas a 3,nction
o3 Pcoae sho;n in *#,e''3om that6 ;e clealy can
see that eithe aso%tion no eso%tion is RATE"IMITINGinitial ate6
initial %atial %ess,e o3 c,mene6Pco
'COr
The ate la; ei>e 9y ass,min# that $=R
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ERT 208/4 REACTION ENGINEERINGSEM 2 2009 2010
A"GORIT)M
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ERT 208/4 REACTION ENGINEERING
En o3 Pat !