chemistry 1011 slot 51 chemistry 1011 topic rate of reaction text reference masterton and hurley...
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Chemistry 1011 Slot 5 1
Chemistry 1011
TOPICRate of Reaction
TEXT REFERENCEMasterton 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.
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
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
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
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
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
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
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
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
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
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
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
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]
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
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