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Chemistry 1011 Slot 5 1 Chemistry 1011 TOPIC Rate of Reaction TEXT REFERENCE Masterton and Hurley Chapter 11

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Page 1: Chemistry 1011 Slot 51 Chemistry 1011 TOPIC Rate of Reaction TEXT REFERENCE Masterton and Hurley Chapter 11

Chemistry 1011 Slot 5 1

Chemistry 1011

TOPICRate of Reaction

TEXT REFERENCEMasterton and Hurley Chapter 11

Page 2: Chemistry 1011 Slot 51 Chemistry 1011 TOPIC Rate of Reaction TEXT REFERENCE Masterton and Hurley Chapter 11

Chemistry 1011 Slot 5 2

11.7 Reaction Mechanisms

YOU ARE EXPECTED TO BE ABLE TO:

• Define reaction mechanism and show how the reaction order is dependent upon the mechanism by which a reaction takes place.

• For a reaction taking place in more than one step, identify the rate determining step and identify reaction intermediates.

• Determine if a proposed reaction mechanism is consistent with experimental rate data.

Page 3: Chemistry 1011 Slot 51 Chemistry 1011 TOPIC Rate of Reaction TEXT REFERENCE Masterton and Hurley Chapter 11

Chemistry 1011 Slot 5 3

Reaction Mechanism

• Description of path or sequence of steps by which a reaction occurs

• Simplest case: single collision• Frequently more than one step• Rate expression and order of reaction

depend on mechanism• This is why rate law and order must be

determined experimentally

Page 4: Chemistry 1011 Slot 51 Chemistry 1011 TOPIC Rate of Reaction TEXT REFERENCE Masterton and Hurley Chapter 11

Chemistry 1011 Slot 5 4

Reaction of CO(g) with NO2(g)

CO(g) + NO2(g) NO(g) + CO2(g)

• At high temperatures, reaction is single step

• Rate = k[CO] x [NO2]

• At low temperatures, reaction is two step process

NO2(g) + NO2(g) NO3(g) + NO(g)

CO(g) + NO3(g) CO2(g) + NO2(g)

CO(g) + NO2(g) NO(g) + CO2(g)

• Rate = k [NO2]2

Page 5: Chemistry 1011 Slot 51 Chemistry 1011 TOPIC Rate of Reaction TEXT REFERENCE Masterton and Hurley Chapter 11

Chemistry 1011 Slot 5 5

Elementary Steps

• The individual steps that make up a reaction pathway are called elementary steps

• Steps may be unimolecular, bimolecular, etc

• The molecularity is the number of molecules that are involved in an elementary process

Page 6: Chemistry 1011 Slot 51 Chemistry 1011 TOPIC Rate of Reaction TEXT REFERENCE Masterton and Hurley Chapter 11

Chemistry 1011 Slot 5 6

Rate Law for Elementary Steps

• For a complete reaction, the rate law and the order must be determined experimentally.

• This is because the mechanism may be simple or complex, and this determines the rate law and order

• For elementary reactions, however, the rate law can be determined from the equation

Page 7: Chemistry 1011 Slot 51 Chemistry 1011 TOPIC Rate of Reaction TEXT REFERENCE Masterton and Hurley Chapter 11

Chemistry 1011 Slot 5 7

Rate Law for Elementary StepsElementary Step Molecularity Rate Law

A product unimolecular Rate = k[A]A + B product bimolecular Rate = k[A][B]A + A product bimolecular Rate = k[A]2

2A + B product termolecular Rate = k[A]2[B]

• For the elementary step:NO2(g) + NO2(g) NO3(g) + NO(g)

• The rate law is:

Rate = k[NO2]2

Page 8: Chemistry 1011 Slot 51 Chemistry 1011 TOPIC Rate of Reaction TEXT REFERENCE Masterton and Hurley Chapter 11

Chemistry 1011 Slot 5 8

Slow and Fast Steps• Frequently, one step in a mechanism will be

slower than the others

• This is the rate determining step

• Imagine a two step process:Step 1: A + B X + I SLOW

Step 2: A + I Y FAST

Total: 2A + B X + Y

• The first step is the rate determining step

Page 9: Chemistry 1011 Slot 51 Chemistry 1011 TOPIC Rate of Reaction TEXT REFERENCE Masterton and Hurley Chapter 11

Chemistry 1011 Slot 5 9

Overall Rate Law and Order

• Rate(First Step) = k1[A][B]

• This slow first step determines the overall rate

• This is the rate law for the overall reaction:

2A + B X + Y

which is therefore second order

Page 10: Chemistry 1011 Slot 51 Chemistry 1011 TOPIC Rate of Reaction TEXT REFERENCE Masterton and Hurley Chapter 11

Chemistry 1011 Slot 5 10

Mechanisms and Rate Laws

• The rate law expression is determined by experiment

• The mechanism is a hypothesis about the way the reaction occurs

• The proposed mechanism must yield a rate law expression that is consistent with experiment

Page 11: Chemistry 1011 Slot 51 Chemistry 1011 TOPIC Rate of Reaction TEXT REFERENCE Masterton and Hurley Chapter 11

Chemistry 1011 Slot 5 11

Mechanism with a Fast Initial Step

• Sometimes the first step in a reaction mechanism, which results in the creation of a reaction intermediate, will be FAST

• The second step, where the reaction intermediate is a reactant, may be SLOW

• When this happens, the rate determining step will be the second step

• The rate law expression should then include the concentration of the reaction intermediate

Page 12: Chemistry 1011 Slot 51 Chemistry 1011 TOPIC Rate of Reaction TEXT REFERENCE Masterton and Hurley Chapter 11

Chemistry 1011 Slot 5 12

Reaction Intermediates and Rate Law

• The concentration of an intermediate cannot be measured

• The concentration of an intermediate cannot be included in a rate law expression if this is to be compared to experiment

• The final rate law expression can only include species occurring in the balanced equation

Page 13: Chemistry 1011 Slot 51 Chemistry 1011 TOPIC Rate of Reaction TEXT REFERENCE Masterton and Hurley Chapter 11

Chemistry 1011 Slot 5 13

Reaction Intermediates and Rate Law - an Example

Step 1: NO(g) + Cl2(g) NOCl2(g) FAST

Step 2: NOCl2(g) + NO(g) 2NOCl(g) SLOW

Overall: 2 NO(g) + Cl2(g) 2NOCl(g)

• Rate of overall reaction = rate of step 2

• Rate = k2[NOCl2][NO]

• This is unsatisfactory;

[NOCl2] cannot be measured

Page 14: Chemistry 1011 Slot 51 Chemistry 1011 TOPIC Rate of Reaction TEXT REFERENCE Masterton and Hurley Chapter 11

Chemistry 1011 Slot 5 14

Eliminating Intermediates from the Rate Law Expression

• The first (fast) step in the reactionNO(g) + Cl2(g) NOCl2(g) FAST

is reversible• The reactants and products are in equilibrium

rate forward = rate reverse

k1[NO][Cl2] =k[NOCl2]

Page 15: Chemistry 1011 Slot 51 Chemistry 1011 TOPIC Rate of Reaction TEXT REFERENCE Masterton and Hurley Chapter 11

Chemistry 1011 Slot 5 15

Eliminating Intermediates from the Rate Law Expression

[NOCl2] = k1[NO][Cl2]

k

Substitute in overall rate law expression

Rate of reaction = rate of step 2

Rate = k2k1 [NO]2[Cl2]

k

Page 16: Chemistry 1011 Slot 51 Chemistry 1011 TOPIC Rate of Reaction TEXT REFERENCE Masterton and Hurley Chapter 11

Chemistry 1011 Slot 5 16

Limitations of Mechanism Studies

• Mechanisms are suggested in order to explain observed rate laws and orders of reaction

• Often more than one mechanism can explain experimental results