Chapter 2 Chemical Kinetics 1
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Chapter 2
Chemical
Kinetics1
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• Reaction Rate Expression
• Factors affecting Reaction Rate
•Rate Law and Its Component
• Integrated Rate Laws:
- Zeroth, First and Second Order
Reactions
• Effect of Temperatre on Reaction Rate
SCOPE
!
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• "#$e to determine simp$e reaction orders%
• "#$e to app$& the "rrhenis e'ation and rate
$aw in ca$c$ations%
• "#$e to identif& reaction mechanism and rate
determine step for a gi(en reaction%
LEARNING
OUTCOME
)
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• *etermine reaction orders
• Ca$c$ate rate constants
• +rite expression for integrated rate $aws
• *etermine ha$f $ife
LEARNING
OUTCOMES
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• "pp$& "rrhenis e'ation to ca$c$ate rate
constant or acti(ation energ&%
• Express rate $aw #ased on e$ementar&
reactions
• *eri(e rate $aw sing rate-determining step
LEARNING
OUTCOME
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2.1 Reactin RateE!pressin• Chemica$ .inetics is the std& of the rate
of a reaction
• The reaction rate is the speed with which
reactants disappear and prodcts form
• Reaction rates are a$wa&s reported as
positi(e (a$es
• The nit is mo$ L /0 s /0
1
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A"era#e$ Instantane%s an& InitialRates• Instantane%s rate'
slope of a line tangentto the curve at aparticular point (e)
• Initial rate'the instantaneous rateat the momentreactants are mixed (a)
• A"era#e rate'
slope of line joiningany two points (b, c, d)
2
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2.1 Reactin RateE!pressin
•Rate of reaction: the change in concentrationsof reactants or products per unit time
• Consider this reaction → !
verage rate "
" delta " (#nal $ initial) concentration of
reactant%product
use & ' to express concentration in moles%liter
• verage rate " − "
•
3
[ ]t
Δ
Δ [ ]t
!
Δ
Δ
[ ]tΔ
Δ
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2.1 Reactin RateE!pressin
Consider the reaction " 4
5
2 1 R ti R t
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2.1 Reactin RateE!pressin
Consider the reaction " 4
06
2 1 R ti R t
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• The concentration of the reactant, ", decreases with
time
• The concentration of the prodct, 4, increases with
time
−
7conc of " at time t! / conc of " at time t08rate 9" ;t! / t0
;−
<7"8 <t
conc of 4 at time t! / conc of 4 at time t0rate 94 ;t!
/ t0
; <748
<t
2.1 Reactin RateE!pressin
Consider the reaction " 4
00
2 1 R ti R t
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• Ca$c$ate the a(erage rate at which 7"8
changes in the first 6 seconds
!% = 06- mo$ L-0 s-0
rate 9" <t
− <7"8
−97"8t;6 / 7"8t;6
6 s / 6 s
−96%61!5 mo$ L-0 / 6%626 mo$ L-0
6 s
-9-!% = 06- mo$ L-0 s-0
;
;
;
;
;
2.1 Reactin RateE!pressin
Consider the reaction " 4
0!
2 1 R ti R t
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• The rate at a partic$ar time is ca$$ed the
instantaneos rate
• This can #e determined from the s$ope of atangent to the cr(e
• For examp$e, from p$otting of 7"8 against time,
at t ; 6 s
rate ; -9s$ope of tangent $inedt
;-d7"8
; !%) = 06- mo$ L-0 s-0
2.1 Reactin RateE!pressin
Consider the reaction " 4
0)
2 1 R ti R t
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Reactin' A→
(upposed the reaction begins with 1*-- mol
*
t t "- there is 1*-- mol , no ! present*
t t "1- min, there is -*./ mol and -*0mol !
t t "/- min, there is -*2- mol and -*.-mol !*
Calculate average rate from t " - to t " 1-min*
average rate
2.1 Reactin RateE!pressin
0 mol/min0.026min0-min10
mol0-mol0.26
min0min10
)B(mol-)B(molΔt
B)Δ(moles
0at tmin10at t
==
−=
=
==
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Consider :
C>
5C$
9a'?>
!O
9$ → C
>
5O>
9a'?>C$
9a'
4t&$ ch$oride 4t&$ a$coho$
+e can ca$c$ate the a(erage rate in termsof the disappearance of C>5C$%
2.1 Reactin RateE!pressin
0
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C4H9Cl(aq)+ H2O(l) →
C4H9OH(aq)+HCl (aq)
Time (s) [ C4H9Cl ] (M)
6%6 6%0666
6%6 6%656066%6 6%63!606%6 6%620!66%6 6%6120)66%6 6%6566%6 6%6366%6 6%6)16366%6 6%6!66
Plot [ C4H9Cl ] versus time
2.1 Reactin RateE!pressin
01
2 1 R ti R t
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2.1 Reactin RateE!pressin
C4H9Cl(aq)+ H2O(l) → C4H9OH(aq)+HCl (aq)
02
2 1 R ti R t
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"(erage rate of disappearance of C>5C$
2.1 Reactin RateE!pressin
C4H9Cl(aq)+ H2O(l) → C4H9OH(aq)+HCl (aq)
03
[ ] [ ]( ) ( )
−−−=
−=
timeinitialtime#nalCl3CCl3C
t
Cl)3(C
timeinitial4/time#nal4/
4/
Δ
Δ
2 1 R ti R t
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Time (s) [ C4H9Cl ](M) Ave.rate (M/s)
6%6 6%06666%6 6%656
066%6 6%63!606%6 6%620!66%6 6%6120)66%6 6%65
66%6 6%6366%6 6%6)16366%6 6%6!66
1*4 x 1-$/
1*. x 1-$/
1* x1-$/
1*/x1-$/
1*00x1-$/
1*-1 x1-$/
-*5-x1-$/
-*6x1-$/
2.1 Reactin RateE!pressinC4H9Cl(aq)+ H2O(l) → C4H9OH(aq)+HCl (aq)
05
Reactin Rates an&
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Reactin ' relatinship ne)t)ne
C/34Cl (a7) 8 309 (l) C/3493 (a7) 8 3Cl
(a7)
1 mole of C/3493 is produced for each mole of
C/34Cl consumed* 309 is consumed and 3Cl is
produced*
Rate "
Reactin Rates an&Stichimetr*
!6
[ ] [ ]
[ ] [ ]
t
933C
t
Cl3C
t
3Cl
t
93
4/4/
0
Δ
Δ
Δ
Δ
Δ
Δ
Δ
Δ
=−
=−
Reactin Rates an&
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Reatio! " relatio!s#i$ is !ot o!e%to o!e
!>I 9g >! 9g ? I!9g
The rate of disappearance of >I is twice the rate of
appearance of >! and I! %
rate ;
&! 'e!eral or" aA + *→
C + ,
rate ;
Reactin Rates an&Stichimetr*
!0
[ ] [ ] [ ] [ ]
Δt
DΔ
d
1
Δt
CΔ
c
1
Δt
BΔ
b
1
Δt
AΔ
a
1==−=−
[ ] [ ] [ ]t
:
t
3
t
3:
0
1 00
Δ
Δ
Δ
Δ
Δ
Δ==−
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!!
E!ample:
+rite the rate expressions for the fo$$owing
reactions in terms of the disappearance ofthe reactants and the appearance of the
prodcts%
@>) 9g ? O! 9g @O 9g ? 1>!O 9g
Reactin Rates an&Stichimetr*
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!)
Sl%tin'
Reactin Rates an&Stichimetr*
[ ] [ ] [ ]
[ ]Δt
OHΔ
6
1
Δt NOΔ
41
ΔtOΔ
1
Δt NHΔ
41!ate
2
2"
=
=−=−=
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!C>069g ? 0)O!9g 3CO!9g ? 06>!O9g
If the #tane concentration is decreasing at a
rate of 6%!6 mo$ L /0 s /0, at what rate is theox&gen concentration decreasingA
So$tion:
0%) mo$ O!rate 9O! ;6%!6 mo$ C>06
L s ! mo$ C>06
0) mo$ O!xL s
;
–
Ox&gen reacts at a rate of 0%) mo$ L /0 s /0
Reactin Rates an&Stichimetr*
E!ample :
!
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2.2 +actrs A,ectin# ReactinRate
Pri!i$al ators i!lue!e reatio! rates"0% Chemica$ natre of the reactants
!% "#i$it& of the reactants to come in contact with
each others
)% Concentrations of the reactants% Temperatre
% "(ai$a#i$it& of rate-acce$erating agents ca$$ed
cata$&sts
!
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•C#emial !ature o t#e reata!ts – *ring reactions, #onds #rea. and new
#onds form
– Some reactions are fast #& natre and
others are s$ow
2.2 +actrs A,ectin# ReactinRate
!1
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• Ailit- o t#e reata!ts to meet
– Bost reactions in(o$(e two or more reactants
whose partic$es 9atoms, ions or mo$ec$es
mst co$$ide for the reaction to occr
– In a homogeneos reaction, a$$ of the reactants
are in the same phase
– In a heterogeneos reaction, the reactants are
present in different phases
urae area Rate
2.2 +actrs A,ectin# ReactinRate
!2
2 2 +actrs A,ectin# Reactin
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– The area of contact #etween the phases
determines the reaction rate
2.2 +actrs A,ectin# ReactinRate urae area
!3
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": nai$ 9$ow srface area 4: Stee$ woo$ 9high srface area!5
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• Co!e!tratio! o t#e reata!ts – The rates of #oth homogeneos and
heterogeneos reactions are affected #& the
concentrations of the reactantsFor examp$e, red-hot stee$ woo$ #rsts into f$ame
when thrst into pre ox&gen
Rate ∝ co$$ision fre'enc& ∝ concentration
Co!! Rate
2.2 +actrs A,ectin# ReactinRate
)6
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• Tem$erature o t#e s-stem – "$most a$$ chemica$ reactions occr
faster at higher temperatres
Rate ∝ co$$ision energ& ∝ temperatre
Tem$erature rate
a: energetic collision $ lead toproduct
b,c,d: molecules just bounce o;<<
2.2 +actrs A,ectin# ReactinRate
)0
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• Prese!e o atal-sts
– Cata$&sts are s#stances that increase
the rate of chemica$ reactions withot
#eing sed p
– For examp$e, enD&mes that direct or
#od& chemistr& are a$$ cata$&sts
2.2 +actrs A,ectin# ReactinRate
)!
2 2 +actrs A,ectin# Reactin
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2.2 +actrs A,ectin# ReactinRate
• Prese!e o atal-sts
))
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2.- Rate Las
• " rate $aw is an e'ation in which the rate is
gi(en as a fnction of reactant concentrations – for examp$e, rate ; k [H&]n
k is the rate constant of the reaction
n is the order of the reactant
4oth rate constant and order mst #eexperimenta$$& determined
)
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2.- Rate Las
• The (a$e of the rate constant, . depends
on the partic$ar reaction #eing stdied
and the temperatre at which the
reaction occrs
• The order, n can #e positi(e or negati(e,
an integer or a fraction
• The order cannot #e dedced from the
#a$anced e'ation
)
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2.- Rate Las
•T-$es o rate la0s"
– " differentia$ rate $aw expresses the rate as a
fnction of concentration
– "n integrated rate $aw expresses the
concentration as a fnction of time
)1
rate ; d7"8dt
; k 7"8
kt
t
e A Akt A
A −== 0t0 #$#$o!#$
#$ln
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2.- Rate Las• Consider the h&pothetica$ reaction:
" ? 4 prodcts
The rate $aw for the reaction is:
rate ; k 7"8m748n
The (a$es of m and n can #e disco(ered #&
$oo.ing for patterns in the rate data 9experimenta$
data
Order cannot #e dedced from the #a$anced
e'ation)2
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• Consider the fo$$owing reaction:
From experiment, the rate la0
9determined from initia$ rates is
Rate la0 a!!ot e otai!e rom t#e ala!e
equatio! 11111111
2.- Rate Las
)3
O H I Se H I SeO H 2""2
"246 ++→++ −+−
2"1
"2 #$#$#$!ate +−
= H I SeO H k
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2.- Rate Las
Sppose that the data in the ta#$e #e$ow has
#een o#tained in a series of fi(e experiments:
" ? 4 prodct 9C
)5
2 - R t L
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2.- Rate Las
– For experiments 0, ! and ) 748 is he$d constant% "n&
changes in the rate mst #e de to the change in 7"8
– The rate $aw sa&s that at constant 748 the rate mst
#e proportiona$ to 7"8m
rateexp 0
rateexp !;
7"8exp 0
7"8exp !m
rateexp 0
rateexp !;
6%6 mo$ L-0 s-0
6%!6 mo$ L-0 s-0; !
and
7"8exp 0
7"8exp !;
6%!6 mo$ L-0
6%06 mo$ L-0; !
" ? 4 prodct 9C
6
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2.- Rate Las
– So do#$ing 7"8 from experiment 0 to experiment !
do#$es the rate
– The re$ationship redces to:
!%6 ; !%6m
– The on$& (a$e of n that ma.es this e'ation tre is
m ; 0
– The reaction mst #e first order with respect to "
" ? 4 prodct 9C
0
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2.- Rate las
– In the fina$ three experiments, the concentration
of 4 changes whi$e the concentration of " is he$d
constant
–
This time it is 748 that affects the rate
– For experiments ) and , we ha(e:
%6 ; !%6n
–
Therefore,n
mst e'a$ !
rateexp )
rateexp ;
748exp )
748exp
n
" ? 4 prodct 9C
!
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2.- Rate Las
– +e now .now that the rate $aw for the
reaction mst #e:
rate ; k 7"80748!
– The o(era$$ order is the sm of the orders for
each reactant in the rate $aw ; )
– +hat is the (a$e of k A
" ? 4 prodct 9C
)
2 / Inte#rate& Rate
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2./ Inte#rate& RateLas• T#e i!te'rate rate la0s
– Integrated rate $aws express concentration as a
fnction of time
– Consider the h&pothetica$ reaction:
" prodcts
– The 9differentia$ rate $aw has the form:
rate 3[A]
t k [A]!
2 / Inte#rate& Rate
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2./ Inte#rate& Ratelas
• ero%orer rate la0s !5
– The differentia$ rate $aw is:
rate ; k 7C86 ; k 90 ; k
– The integrated rate $aw is:
7C8t ; /kt
? 7C86
– " p$ot of 7C8 (erss time gi(es a straight
$ine of s$ope /k
2 / Inte#rate& Rate
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1
2./ Inte#rate& Ratelas
ero%orer rate la0s
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2./ Inte#rate& Rate Las
6irst%orer reatio!sAssume A $routs is irst orer !7
The differentia$ rate $aw has the form:
rate ; − d7"8dt
; k 7"8
The integrated rate $aw wo$d #e:
7 A86 is 7 A8 at t 9time ; 6
7 A8t is 7 A8 at t ; t
e = #ase of natra$ $ogarithms = 2.71828…2
kt
t
e A Akt A
A −
== 0t0
#$#$o!#$
#$ln
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7"8t
7"86; kt $n 7"86e
-.t7"8t ;or
rate ; /d7"8
dt
; k 7"8
6irst%orer reatio!s
2./ Inte#rate& Rate Las
3
[ ][ ][ ]
[ ]
[ ] [ ] t% AlnAln
dt% A
Ad
0t
t
0
A
A
t
0
−=−
−= ∫ ∫
[ ] [ ] 0t Alnt% Aln +−=
2 / Inte#rate& Rate
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5
2./ Inte#rate& RateLas – 6or irst orer reatio!s a p$ot of the natra$
$ogarithm of concentration (erss reaction timea$wa&s gi(es a straight $ine
2 / Inte#rate& Rate
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6
The specific rate constant for the first-orderdecomposition of @!O in CC$ at oC is 1%)! ×06- s-0
!@!O @O! ? O!
a% +hat is the concentration of @!O remaining after
!%66 hr if the initia$ concentration of @!O was6%66 B A
#% >ow mch time re'ired for 56 of @!O to
decompose A
2./ Inte#rate& RateLas
E!ample
2 / Inte#rate& Rate
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0
a% need a re$ationship #etween time and concentration
$n 7 " 8t ; -.t ? $n 7 " 8o , $n 7@!O8t ; -.t ? $n 7@!O8o
$n 7@!O8t ; -9 1%)! × 06- s-0 x
9!%66 hr × )166 s0 hr ? $n 96%66
$n 7@!O8t ; -% ? 9 -6%15) ; -%!
7@!O8t ; exp 9-%! ; %) × 06-)
B
2./ Inte#rate& RateLas
Sl%tin
2./ Inte#rate& Rate
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!
#% assme the fina$ concentration is 06 of the initia$concentration%
56 of @!O has decomposed, so on$& 06 remains
7@!O8 ; 96%096%66 B @!O; 6%666 B @!O
$n 7 6%666 8 ; - 91%)! × 06- s-0 t ? $n 7 6%66 8
- !%551 ; - 9 1%5) × 06-
s-0
t ? 9-6%15) t ; )%1 × 06) s
The time it ta.es for 56 of @!O to disappear is)16 s or 0%60 hrs
2./ Inte#rate& RateLas
Sl%tin
2 / Inte#rate& Rate
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)
2./ Inte#rate& RateLas
• eo!%orer reatio!s !2
– "ssme 4 prodcts is second order
– The differentia$ rate $aw is:
– The integrated rate $aw wo$d #e:
rate [*]
t k [*]2
[*]5
7 k t +
[*]t
7
2./ Inte#rate& Rate
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2./ Inte#rate& RateLas•
eo!%orer reatio!s
[ ][ ]
[ ][ ]
[ ][ ][ ]
[ ]
[ ] [ ] [ ] [ ]00
022
2
11&
11
&0
Bkt Bkt B B
dt k B
Bd t k
B
B
Bk t
B Rate
t t
A
A
t t
+==−
=−∆×−=∆
=∆
∆−=
∫ ∫
2./ Inte#rate& Rate
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2./ Inte#rate& RateLas
– +hen a reaction is seo! orer , a p$ot of 0748t
(erss t sho$d &ie$d a straight $ine with a s$ope k
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1
0al lie
The amont of time re'ired for ha$f of areactant to disappear is ca$$ed the ha$f-$ife, t
1/2
– T#e #al%lie o a irst%orer reaction is not
affected #& the initia$ concentration
k t kt
A
A
A At t
kt A
A
t
t
2lno!
#$
#$ln
n'sbstitti &#$21#$&at
#$
#$ln la*!ateo!de!-+i!st
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02
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0
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0
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=
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2
First-order radioactive decay of iodine-131. The
initial concentration is represented by [I]0.
0al lie
0 l li
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3
–T#e #al%lie o a seo!%orer reactionsdoes depend on the initia$ concentration
0al lie
0
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n's(bstit(ti &#$2
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Bk t kt
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B Bt t
kt
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t
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5
SUMMAR
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E!ampleCarbon$1/ (1/C) is a radioactive isotopewith a half$life of 6*.2 x 1-2 years* t
decays following the #rst order reaction* he amount of 1/C present in an object canbe used to determined its age* Calculatethe rate constant for decay of 1/C and
determine how long is re7uired for 4-= ofthe 1/C in a sample to decompose*
16
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2 3 Ther* chemical
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2.3 Ther* chemical4inetics
• Co$$ision theor&
– One of the simp$est mode$s to exp$ain
reaction rates is co$$ision theor&
– Co$$ision theor& sa&s that the rate of a
reaction is proportiona$ to the nm#er of
effecti(e co$$isions per second among the
reactant mo$ec$es
– "n effecti(e co$$ision is one that acta$$&
gi(es prodct mo$ec$es
2 3 Ther* chemical
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2.3 Ther* chemical4inetics
– Concentration can inf$ence the nm#er of
effecti(e co$$isions per second
– "s reactant concentrations increase, the
nm#er of effecti(e co$$isions increases – @ot e(er& co$$ision #etween reactant
mo$ec$es acta$$& res$ts in a chemica$
change
– On$& a (er& sma$$ fraction of a$$ the co$$isions
can rea$$& $ead to a net change
– +h& is this soA
2 3 Ther* chemical
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2.3 Ther* chemical4inetics
• Bo$ec$ar orientation – +hen two reactant mo$ec$es co$$ide the& mst
#e oriented correct$& for a reaction to occr
9see next s$ide
2./ Ther* chemical
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*4inetics
2 3 Ther* chemical
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2.3 Ther* chemical4inetics
• Ativatio! e!er'-
– The acti(ation energ& 9Ea is the minimm
energ& re'ired for a reaction to occr
– The acti(ation energ& determines the rate of
a reaction
–
"t a gi(en temperatre, on$& a certain fractionof the co$$isions possess enogh energ& to #e
effecti(e and form prodcts
11
2 3 Ther* chemical
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2.3 Ther* chemical4inetics
12
2 3 Ther* chemical
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2.3 Ther* chemical4inetics
– The arrangement fond on the top of the
potentia$ energ& Ghi$$H is ca$$ed the acti(ated
comp$ex or transition state
– Once the transition state is reached, thereaction proceeds to gi(e prodcts, with the
re$ease of energ&
–
" reaction intermediate corresponds to anenerg& minimm #etween two transition
states
13
Transitin State
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The acti(ated comp$ex is nsta#$e species and what exists
is neither reactant nor prodct #t a transitiona$ species
with partia$ #onds% Consider reaction #etween:
C>)4r ? O>- C>)O> ? 4r -
Transitin StateTher*
15
2./ Ther* chemical
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*4inetics
• Tem$erature eets
– The rate of a reaction increases with increasingtemperatre
26
2./ Ther* chemical
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2./ Ther* chemical4inetics
–
The acti(ation energ& is re$ated to the rateconstant #& the "rrhenis e'ation
k ; "e-EaRT
k ; rate constant
Ea ; acti(ation energ&
R ; ni(ersa$ gas constantT ; temperatre 9in e$(in
" ; pre-exponentia$ or fre'enc& factor 20
2./ Ther* chemical
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2./ Ther* chemical4inetics
– The acti(ation energ& can a$so #e o#tained
from two rate components measred at
different temperatres
–
Bost reactions o#e& the "rrhenis e'ationto a good approximation
/$n
k !
k 0; R
/Ea 0
T!
0
T0
2!
E!ample
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"n a$teration in the strctre of a certain (irs fo$$ows first-
order .inetics with Ea ; 32 .Jmo$ %The ha$f-$ife at !5%1oC is
0%1! × 06 s 9 0 &r ; )%0 × 062 s % +hat are the rate
constants at !5%1oC and the ha$f-$ife at )!oC for the a$teration
of the (irs A
olutio!
For a first order rxn: .0 ; 6%15) t0!
Rate constant at !5%1oC ; 6%15) 90%1! × 06 s
; %!3 × 06- s-0
E!ample
2)
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Ea is gi(en, so .! can #e ca$c$ated sing the "rrhenise'ation%The t 0! at )!%6oC can #e o#tained from .!%
Sl%tin 5cnt.6
21-4-
2
2
1--
21
a
2
1
s10 2.6 %
"02.6
1
"0.0
1
/mol. ."14
/%)00%/mol)(10(
%
s104.2ln
3
1
3
1
5
%
%
ln
×=
−×
=
×
−−=
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Sl%tin 5cnt.6
2
s1-0*65
s 1-0*5
-*42
?%-*42 t
:C20atlife$half thethus
2
1$/
01%0
o
×=
×
=
=
−
2.7 Reactin
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2.7 Reactinmechanisms
• Bost reactions do not occr in a sing$e
step
• The net o(era$$ reaction is the res$t of a
series of simp$e reactions
• Each of these is ca$$ed an e$ementar&
process
• The entire set of e$ementar& processes is
the reaction mechanism
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2.7 Reactin
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2.7 Reactinmechanisms
• The rate $aw of an e$ementar& process can
#e written from its chemica$ e'ation
• This r$e on$& app$ies to e$ementar&
processes
• T#e overall rate la0 erive rom t#e
me#a!ism must a'ree 0it# t#e
oserve rate la0 or t#e overall
reatio!
22
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The fo$$owing two reactions are proposed as e$ementar& steps in the
mechanism for an o(era$$ reaction:
90 @O!C$ 9g @O! 9g ? C$ 9g
9! @O!C$9g ? C$ 9g @O!9g ? C$!9g
O(era$$ reaction: 90 ? 9!
O(era$$ rxn: !@O!C$9g!@O! 9g ? C$!
Reaction intermediate is a s#stance that is formed and sed p inthe o(era$$ reaction, does not appear in the o(era$$ reaction: C$ 9g
Rxn90 : Knimo$ec$ar, Rate ; .07@O!C$8
Rxn9!: 4imo$ec$ar, Rate ; .!7@O!C$87C$8
E!ample
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2.7 Reactin
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7 eac mechanisms
• The rate-determining step – Consider the gaseos reaction:
!@O!C$ !@O! ? C$!
– The acta$ mechanism of the reaction is the
fo$$owing two-step se'ence of e$ementar&
processes:
@O!C$ @O! ? C$ 9s$ow@O!C$ ? C$ @O! ? C$! 9fast
– The C$ radica$ formed is an intermediate25
2.7 Reactin
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mechanisms
• In an& m$tistep mechanism, one step is
sa$$& mch s$ower than the others
• The s$ow step in a mechanism is ca$$ed
the rate-determining step
• The rate la0 or t#e rate%etermi!i!'
ste$ is iretl- relate to t#e rate la0or t#e overall reatio!
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2.3 Reactin
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• The rate $imiting step wi$$ dominate the
expression of rate $aws%
Eg:
Step 0: @O 9g ? 4r ! 9g @O4r ! 9fast
Step !: @O4r ! 9g ? @O 9g !@O4r 9g 9s$ow
∴Rate $aw : Rate;.7@O4r !8 7@O8
Rate laws for elementarysteps
mechanisms
30
E l
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@9 catalyAes the decomposition of @09 possiblythrough the following mechanism:
@9(g) 8 @09(g) → @
0(g) 8 @9
0(g)
0@90(g) → 0@9(g) 8 9
0(g)
>hat is the overall reactionB
516 × 2 2NO 5#6 8 2N2O 5#6 → 2N2 5#6 8 2NO2
5#6
526 2NO25#6→
2NO5#6 8 O25#6999999999999999999999999999999999 2N
2O 5#6 → 2N2 5#6 8O
25#6
NO = catalyst;NO2=intermediate
E!ample
3!
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T#e 8!