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Principles of Chemistry II © Vanden Bout
Today
Kinetic MechanismsWhy does a reaciton follow a particular rate law?
What is actually happening in the reaction?
Transition State TheoryArrhenius Theory
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What is the rate law for the following reaction?
NO2 + CO NO + CO2
A. rate = k[NO2][CO]
B. rate = k[NO][CO2]
C. rate = k[NO2]2[CO]
D. rate = k[NO2]2
E. there is no way to know with our more information
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What are the actual steps of the reaction?
NO2(g) + CO(g) NO(g) + CO2(g)
One possibility
Step 1
NO2 collides with CO and an oxygen atoms switches molecules to form NO and CO2
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Principles of Chemistry II © Vanden Bout
What are the actual steps of the reaction?
NO2(g) + CO(g) NO(g) + CO2(g)
One possibility
Step 1
NO2 collides with CO and an oxygen atoms switches molecules to form NO and CO2
NO2(g) + CO(g) NO(g) + CO2(g)Step 1
Overall NO2(g) + CO(g) NO(g) + CO2(g)
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Principles of Chemistry II © Vanden Bout
What are the actual steps of the reaction?
NO2(g) + CO(g) NO(g) + CO2(g)
Another possibility
Step 1 Two NO2 collide to form NO and NO3
Step 1
Overall NO2(g) + CO(g) NO(g) + CO2(g)
Step 2 NO3 collides with CO to form NO2 and CO2
Step 2
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Principles of Chemistry II © Vanden Bout
What are the actual steps of the reaction?
NO2(g) + CO(g) NO(g) + CO2(g)
Another possibility
Step 1 Two NO2 collide to form NO and NO3
NO2(g) + NO2(g) NO(g) + NO3(g)Step 1
Overall NO2(g) + CO(g) NO(g) + CO2(g)
Step 2 NO3 collides with CO to form NO2 and CO2
NO3(g) + CO(g) NO2(g) + CO2(g)Step 2
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Principles of Chemistry II © Vanden Bout
Two mechanisms
NO2(g) + NO2(g) NO(g) + NO3(g)Step 1
NO3(g) + CO(g) NO2(g) + CO2(g)Step 2
NO2(g) + CO(g) NO(g) + CO2(g)Step 1
OR
What do these two predict?
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How do we predict the rate law from a mechanism?
First we need the rate laws for the elementary reactions (the steps in the reaction)
Second we need to know relative to each other which steps are fast and which steps are slow
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We need to look at the individual steps(elementary reactions)
Unimolecular Reaction
One reactant in the step
A B
For this step, the rate will be first order in A
rate = k[A]
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Principles of Chemistry II © Vanden Bout
We need to look at the individual steps(elementary reactions)
Bimolecular Reaction
Two reactants in the step
A + B C
For this step, the rate will be first order in Aand first order in B
rate = k[A][B]
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Principles of Chemistry II © Vanden Bout
What is the rate for the following individual step?
NO2 + NO2 NO + NO3
A. rate = k[NO2]
B. rate = k[NO2]2
C. rate = k[NO2]2[NO]
D. rate = k[NO2]2/[NO][NO3]
E. there is no way to know with our more information
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Principles of Chemistry II © Vanden Bout
What is the rate for the following individual step?
NO2 + CO NO + CO2
A. rate = k[NO2]
B. rate = k[NO2]2
C. rate = k[NO2][CO]
D. rate = k[CO]
E. rate = k[CO2][NO]
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What steps determine the overall rate or a reaction?
What determines the rate of people exiting a plane?
A. the rate at which people stand up
B. the rate at which people go through the door of the plane
C. the rate at which people walk up the jetway
D. they all matter
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Nonsense "real world" example
student + quiz + TA happy student with quiz turned in
student + TA + quiz student with quiz + TA
student with quiz student with completed quiz
student with completed quiz + TA happy student with quiz turned in
What controls the rate of this reaction?
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H2(g) + Br2(g) 2HBr(g)
What actually happens?Does a H2 and a Br2 molecule collide and react?
Does something else happen?
Which Step Matters?H2(g) + Br2(g) 2HBr(g)
Br2 2Br Step 1
Br + H2 HBr + HStep 2
H + Br2 HBr + BrStep3
2Br Br2Step4
Overall
intermediates
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We can simplify things by taking an extreme view.
The only things that matters is the slowest step
This is called the rate determining step
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Two mechanisms
NO2(g) + NO2(g) NO(g) + NO3(g)Step 1
NO3(g) + CO(g) NO2(g) + CO2(g)Step 2
NO2(g) + CO(g) NO(g) + CO2(g)Step 1
OR
slow
slow
fast
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Principles of Chemistry II © Vanden Bout
Two mechanisms
NO2(g) + NO2(g) NO(g) + NO3(g)Step 1
NO3(g) + CO(g) NO2(g) + CO2(g)Step 2
NO2(g) + CO(g) NO(g) + CO2(g)Step 1
OR
slow
slow
fast
rate = k[NO2][CO]
rate = k[NO2]2
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Principles of Chemistry II © Vanden Bout
Two mechanisms
NO2(g) + NO2(g) NO(g) + NO3(g)Step 1
NO3(g) + CO(g) NO2(g) + CO2(g)Step 2
NO2(g) + CO(g) NO(g) + CO2(g)Step 1
OR
slow
slow
fast
rate = k[NO2][CO]
rate = k[NO2]2
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Principles of Chemistry II © Vanden Bout
What is the rate for the following mechanism?
A. rate = k1[NO2]
B. rate = k1[NO2]2
C. rate = k2[NO3][CO]
D. rate = k1k2[NO2]2[NO3][CO]
E. rate = k1[NO2]2 + k2[NO3][CO]
NO2(g) + NO2(g) NO(g) + NO3(g)Step 1
NO3(g) + CO(g) NO2(g) + CO2(g)Step 2
fast
slow
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Typically our rate law does not have anything chemical species that are not found in the overall reaction
NO2(g) + NO2(g) NO(g) + NO3(g)Step 1
NO3(g) + CO(g) NO2(g) + CO2(g)Step 2
fast
slow
rate = k2[NO3][CO]
K = [NO3][NO]
[NO2]2 [NO3] =
K[NO2]2
[NO]rate = k2 [CO] = k
[NO2]2[CO][NO]
K[NO2]2
[NO]
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What are the intermediates in this reaction?
A. Cl
B. H2S
C. HS
D. A and B
E. A,B, and C
Cl2 Cl + Cl
Cl + H2S HCl + HS
Cl + HS HCl + S
Cl2 + H2S 2HCl + S
slow
fast
fast
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What is the predicted rate law for this reaction?
A. rate = k[Cl2] + k[Cl][H2S] + k[Cl][HS]
B. rate = k[Cl][HS]
C. rate = k[Cl2][H2S]/[HCl]
D. rate = k[Cl2][H2S]/[HCl]2
E. rate = k[Cl2][H2S]/[HCl]2[S]
Cl2 Cl + Cl
Cl + H2S HCl + HS
Cl + HS HCl + S
Cl2 + H2S 2HCl + S
slow
fast
fast
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Connecting kinetics and equilibria
Elementary Reaction at Equilibrium
A + B Ck1
A + B Ck-1
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Principles of Chemistry II © Vanden Bout
Connecting kinetics and equilibria
Elementary Reaction at Equilibrium
A + B Ck1
rate = k1[A][B]
A + B Ck-1
rate = k-1[C]
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At Equilibriumforward rate = backward rate
A + B Ck1
rate = k1[A][B]
A + B Ck-1
rate = k-1[C]
k1[A][B] = k-1[C]
K = [C]
[A][B]K =
k1
k-1