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  Chapter 2  Chemical Kinetics 1
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Chapter 2 Chemical Kinetics

Feb 05, 2018

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Page 1: Chapter 2 Chemical Kinetics

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 Chapter 2

 Chemical

Kinetics1

Page 2: Chapter 2 Chemical Kinetics

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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

d

1

Δt

c

1

Δt

 b

1

Δt

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 

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 

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

2lno!

#$

#$ln

n'sbstitti &#$21#$&at

#$

#$ln la*!ateo!de!-+i!st

2/12/1

02

1

0

02/1

0

==

==

=

0 l li

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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

2/12/1

0

2/1

002

1

02/1

0t

#$

lo!

#$

1

#$

1

#$

1

n's(bstit(ti &#$2

1#$&at

#$

1-

#$

1 )la*!ateinte'!atedo!de!-,econd

 Bk t kt 

 B

kt  B B

 B Bt t 

kt 

 B B

==

=

==

=

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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

/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

21

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

E l

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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

23

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!

36

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!