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Catalysis for Chemical
Engineers
A Brief History and Fundamental
Catalytic Principles
What is Catalysis?
ļ‚§ The science of catalysts and catalytic
processes.
ļ‚§ A developing science which plays a
critically important role in the gas,
petroleum, chemical, and emerging
energy industries.
ļ‚§ Combines principles from somewhat
diverse disciplines of kinetics,
chemistry, materials science, surface
science, and chemical engineering.
What is Catalyst?
A catalyst is a material that enhances the rate and selectivity of a chemical
reactions and in the process is cyclically regenerated.
Fe2+ + Ce4+ ļƒ  Fe3+ + Ce3+ (Slow Reaction)
2Fe2+ + Mn4+ ļƒ  2Fe3+ + Mn2+
Mn2+ + 2Ce4+ ļƒ  Mn4+ + 2Ce3+
Fe2+ + Ce4+ ļƒ  Fe3+ + Ce3+
(Fast Reaction)
Homogeneous Catalysis
CO + H2O ļƒ  CO2 + H2 @ low temperature (Slow Reaction)
S* + H2O ļƒ  H2 + O-S*
O-S* + CO ļƒ  CO2 + S*
CO + H2O ļƒ  CO2 + H2
(Faster Reaction)
Heterogeneous Catalysis
What is Catalyst?
From http://www.automotivecatalysts.umicore.com
NO
N2
NH3
(Desired Reaction)
(Undesired Reaction)
SD/U =
rD
rU
rD
rU
Rate of formation of D
Rate of formation of U
=
Rh SD/U
Pt SD/U
How Important Is Catalysis?
Raw Materials
Chemicals
Fuels
Fibers, Plastics, Food,
Home Products,
Pharmaceuticals
Heating,
Transportation, Power
Four of the largest sectors of our world economy (i.e. the petroleum, power,
chemicals, and food industries), which account for more than 10 trillion dollars of
gross world product, are largely dependent on catalytic processes.
Development of Important
Industrial Catalytic Processes
Mittasch investigated over 2500
catalysts compositions!!!
Development of Important
Industrial Catalytic Processes
It played a vital role as a
feedstock for chemicals: 30
million tons per year in 2000
Development of Important
Industrial Catalytic Processes
Production of Liquid Fuels!!!
Development of Important
Industrial Catalytic Processes
NO
CO
CxHy
N2
CO2
H2O
O2
How to Define Reaction Rate??
Reaction Rate (r) =
1
ļ®i * Q
dni
dt
Q = V, W or S.A. of catalyst
ļ®i = Stoichiometric Coefficient ļ“i ļ®iMi = 0 involving species Mi
(ļ®i is negative for reactants and
positive for products)
e.g. 2NH3 = N2 + 3H2 2 x (NH3) -1 x (N2) -3 x (H2) =
2N + 6H ā€“ 2N ā€“ 6H = 0
ni = # of moles of species Mi
Chemical Reactions
Four Basic Variables to Control Chemical Reactions:
(1)Temperature
(2)Pressure
(3)Conc
(4)Contact time
Rate of Reaction = K(T) x F(Ci)
K(T) = A exp(-E/RT)
C
H
H
H
I
Cl
C
H
H
H
Cl
I
C
H
H
H
I
Cl
Energy Intensive &
damaging to equipment and
materials & non-selective
ļ i (Ci)ļ”i
A. Active phase - metal that provides active sites where the
chemical reaction takes place
B. Support or Carrier - high surface area oxide which
disperses and stabilizes the active phase
(adds efficiency, physicalstrength, sometimes selectivity)
C. Promoter(s) - additive which improves catalyst properties,
e.g. activity, selectivity, catalyst life
Components of a Typical
Heterogeneous Catalyst
Pt Nanoparticles on Al2O3
Supports
(a)
Heterogeneous Catalysis
A (g) ļƒ  B (g)
ā€¢Minimize ļ„P
ā€¢Minimize Mass Transport
Resistances
ā€¢Maximize Activity
ā€¢Minimize Poisoning and
Fouling
Support
(Al2O3)
Active Metals
(Pt, Co, MoO2)
support
Components of a
Typical Heterogeneous Catalyst
Component Material Types Examples
Active Phase: metals noble metals: Pt, Pd; base metals: Ni, Fea
metal oxides transition metal oxides: MoO2, CuO
metal sulfides transition metal sulfides: MoS2, Ni3S2
Promoter:
textural metal oxides Al2O3, SiO2, MgO, BaO, TiO2, ZrO2
chemical metal oxides alkali or alkaline earth: K2O, PbO
Carrier or
Supportb
stable, high surface area
metal oxides, carbons
Group IIIA, alkaline earth and transition
metal oxides, e.g. Al2O3, SiO2, TiO2,
MgO, zeolites, and Carbon
Active Catalytic Phases and Reactions
They Typically Catalyze
Active Phase Elements/Compounds Reactions Catalyzed
metals Fe, Co, Ni, Cu,
Ru, Pt,
Pd, Ir,Rh, Au
hydrogenation, steam reforming, HC
reforming, dehydrogenation, ammonia
synthesis, Fischer-
Tropsch synthesis
oxides oxides of V,Mn, Fe,
Cu, Mo, W, Al,
Si,
Sn, Pb, B
complete and partial oxidation of
hydrocarbons and CO, acid-catalyzed
reactions (e.g. cracking,
isomerization,
alkylation), methanol synthesis
sulfides sulfides of Co, Mo,
W, Ni
hydrotreating (
hydrodesulfurization,
hydrodenitrogenation,hydrodemetallation),
hydrogenation
carbides carbides of Fe, Mo, W hydrogenation, FT synthesis
Support/Catalyst BET area (m2
/g) Pore Vol. Pore Diam. (nm)
Activated Carbon 500-1500 0.6-0.8 0.6-2
Zeolites (Molecular Sieves) 500-1000 0.5-0.8 0.4-1.8
Silica Gels 200-600 0.40 3-20
Activated Clays 150-225 0.4-0.52 20
Activated Al2O3 100-300 0.4-0.5 6-40
Kieselguhr ("Celite 296") 4.2 1.14 2,200
Typical Physical Properties of
Common Carrier (Supports)
Heterogeneous Catalysis
A (g) ļƒ  B (g)
ā€¢Minimize ļ„P
ā€¢Minimize Mass Transport
Resistances
ā€¢Maximize Activity
ā€¢Minimize Poisoning and
Fouling
Support
(Al2O3)
Active Metals
(Pt, Co, MoO2)
support
Heterogeneous Catalysis
Steps 1, 2, 6, & 7 are diffusional processes => Small dependences on temp
Steps 3, 4, & 5 are chemical processes => Large dependences on temp
T2
T1
1.75
Phase
Order of Magnitude
cm2/s m2/s Temp and Pressure Dependences
From Elements of Chemical Reaction Engineering, S. Fogler
d
d
For Knudsen Diffusion
For Bulk, Molecular or
Fickā€™s Diffusion
ļ¬
d < ļ¬
ļ¬
d > ļ¬
Heterogeneous Catalysis
Steps 1, 2, 6, & 7 are diffusional processes => Small dependences on temp
Steps 3, 4, & 5 are chemical processes => Large dependences on temp
ā€¢Given that the rates of the chemical steps are
exponentially dependent on temperature and
have relatively large activation energies
compared to the diffusional process (20~200
kJ/mol Vs. 4-8 kJ/mol), they are generally the
slow or rate-limiting processes at low reaction
temperatures.
ā€¢As the temperature increases, the rates of
chemical steps with higher activation energies
increase enormously relative to diffusional
processes, and hence the rate limiting
process shifts from chemical to diffusional. Kapp(T) = Aapp exp(-Eapp/RT)
Film Mass Transfer Effect on
Reaction Rate
If Boundary Layer is Too Thick,
Reaction Rate = Mass Transfer Rate
A ļƒ  B
-rA = kc (CAb ā€“ CAs)
where Kc = DAB / ļ¤
As the fluid velocity (U) increases and/or the
particle size (Dp) decreases, the boundary
layer thickness (ļ¤) decreases and the mass
transfer coefficient (Kc) increases
k
Internal Diffusion Effect on
Reaction Rate
-rA = k Ī· CAS
Where Ī· = Effectiveness Factor
Ī· = (CA)avg / CAS
CA
CAS
=
cosh
cosh Ī¦pore (1 - x/L)
( Ī¦pore)
cosh
Ī· = (CA)avg / CAS = (tanh (Ī¦pore) ) / Ī¦pore
Ī¦pore (Thiele Modulus) = L (k ļ²P / Deff)1/2
A ļƒ  B
k
L
x
Internal Diffusion Effect on
Reaction Rate
While the equations above were derived for the simplified case of first-order
reaction and a single pore, they are in general approximately valid for other
reaction orders and geometry if L is defined as Vp/Sp (the volume to surface
ratio of the catalyst particle). Hence, L = z/2, rc/2 and rs/3, respectively, for a
flat plate of thickness z, a cylinder of radius rc, and a sphere of radius rs.
Elementary Reaction
It is one that proceeds on a molecular level exactly as written in the balanced
stoichiometric equation
A + B ļƒ  C
If it is an elementary reaction,
A B C
-rA = k [A]1 [B]1
Elementary Reaction
It is one that proceeds on a molecular level exactly as written in the balanced
stoichiometric equation
O3 ļƒ  O2 + O
Is this an elementary reaction?
If it is an elementary reaction,
-rO3 = k [O3]1
Elementary Reaction
It is one that proceeds on a molecular level exactly as written in the balanced
stoichiometric equation
O3 ļƒ  O2 + O
On molecular level, what really is really happening is:
O2 + O3 ļƒ  O2 +O2 + O
-rO3 = k [O3]1 [O2]1
We never really know for sure if we have an elementary reaction based on
the balanced stoichiometric equation!!!
Heterogeneous Catalysis
A (g) ļƒ  B (g)
Active Metals
(Pt, Co, MoO2)
support
A + S A-S
A-S B-S
B-S B + S
k1
k-1
k2
k-2
k3
k-3
Proposed Reaction Mechanism
What If Adsorption Is Rate
Limiting Step?
Adsorption
of A
Surface RXN
of A to B
Desorption
of B
Length of Vector Is Proportional to RXN Rate
Director of Vector Indicates Direction of RXN
Net RXN of Adsorption
Net RXN of Adsorption
Net RXN of Surface RXN
Net RXN of Surface RXN
Net RXN of Desorption
Following Approximations Can Be Made:
1. Adsorption of A is almost irreversible
2. Both surface rxn and desoprtion steps are almost at equilibrium
Net RXN of Adsorption = Net RXN of Surface RXN = Net RXN of Desorption
What If Adsorption Is Rate
Limiting Step?
Since it is an elementary reaction,
A + S A-S
k1
Where S is a free surface site and A-S is a chemisorbed complex
-rA = k1 CA CS
ļ±v = CS / Ctotal
ļ±v = the fractional coverage of vacant site
How can we experimentally measure Cs ???
Cs = functions of parameters that one can experimentally
measure or easily obtain
What If Adsorption Is Rate
Limiting Step?
Since both surface rxn and desorption steps are in near equilibrium,
A-S B-S
B-S B + S
k2
k-2
k3
k-3
rnet = k2 CA-S ā€“k-2 CB-S ļ€ 0 k2 / k-2 = K2 = CB-S / CA-S
rnet = k3 CB-S ā€“k-3 CB CS ļ€ 0 k3 / k-3 = K3 = CB CS / CB-S
Both K2 and K3 are equilibrium constants which one can obtain:
Let us do the site balance,
Ctotal = CS + CA-S + CB-S =
Const.
K2 = CB-S / CA-S
K3 = CB CS / CB-S
CS =
Ctotal
1 + [ (1 + K2) CB / (K2 K3) ]
RT ln K = - ļ„G
What If Adsorption Is Rate
Limiting Step?
CS =
Ctotal
1 + [ (1 + K2) CB / (K2 K3) ]
From the site balance and quasi-equilibrium approximation,
-rA = k1 CA CS
From the rate limiting step,
Ctotal
1 + [ (1 + K2) CB / (K2 K3) ]
=
k1 Ctotal
1 + Kā€™ CB
k1
=
Where Kā€™ = (1 + K2) / (K2 K3)
CA = PA / RT
If A and B behave according to the ideal gas law,
CB = PB / RT
CA CA
What If Surface Reaction Is
Rate Limiting Step?
K1
1 + K1 PA
k2 PA
-rA =
A + S A-S
A-S B-S
B-S B + S
k1
k-1
k2
k-2
k3
k-3
Rate Limiting Step
Figure 1.16 from Fundamentals of Industrial
Catalytic Processes
What If Desoprtion Is Rate
Limiting Step?
K1
1 + (K1 + K1 K2) PA
k3 PA
-rA =
A + S A-S
A-S B-S
B-S B + S
k1
k-1
k2
k-2
k3
k-3
Rate Limiting Step
K2
Fundamental Catalytic Phenomena
and Principles
Catalyst
Design
Catalytic Properties
(Activity and Selectivity)
Chemical Properties
(Oxidation State, Acidity,
Surface Composition)
Physical Properties
(Surface Area, Pore
Structure, Pore Density)
Structure Sensitive Reactions
CO Oxidation over Au/TiO2:
Particle Size Effect
6 nm
2.5 nm
2 nm
Au
TiO2
Particle Size Vs. Electronic
Structure Change of Au

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Catalysis

  • 1. Catalysis for Chemical Engineers A Brief History and Fundamental Catalytic Principles
  • 2. What is Catalysis? ļ‚§ The science of catalysts and catalytic processes. ļ‚§ A developing science which plays a critically important role in the gas, petroleum, chemical, and emerging energy industries. ļ‚§ Combines principles from somewhat diverse disciplines of kinetics, chemistry, materials science, surface science, and chemical engineering.
  • 3. What is Catalyst? A catalyst is a material that enhances the rate and selectivity of a chemical reactions and in the process is cyclically regenerated. Fe2+ + Ce4+ ļƒ  Fe3+ + Ce3+ (Slow Reaction) 2Fe2+ + Mn4+ ļƒ  2Fe3+ + Mn2+ Mn2+ + 2Ce4+ ļƒ  Mn4+ + 2Ce3+ Fe2+ + Ce4+ ļƒ  Fe3+ + Ce3+ (Fast Reaction) Homogeneous Catalysis CO + H2O ļƒ  CO2 + H2 @ low temperature (Slow Reaction) S* + H2O ļƒ  H2 + O-S* O-S* + CO ļƒ  CO2 + S* CO + H2O ļƒ  CO2 + H2 (Faster Reaction) Heterogeneous Catalysis
  • 4. What is Catalyst? From http://www.automotivecatalysts.umicore.com NO N2 NH3 (Desired Reaction) (Undesired Reaction) SD/U = rD rU rD rU Rate of formation of D Rate of formation of U = Rh SD/U Pt SD/U
  • 5. How Important Is Catalysis? Raw Materials Chemicals Fuels Fibers, Plastics, Food, Home Products, Pharmaceuticals Heating, Transportation, Power Four of the largest sectors of our world economy (i.e. the petroleum, power, chemicals, and food industries), which account for more than 10 trillion dollars of gross world product, are largely dependent on catalytic processes.
  • 6. Development of Important Industrial Catalytic Processes Mittasch investigated over 2500 catalysts compositions!!!
  • 7. Development of Important Industrial Catalytic Processes It played a vital role as a feedstock for chemicals: 30 million tons per year in 2000
  • 8. Development of Important Industrial Catalytic Processes Production of Liquid Fuels!!!
  • 9. Development of Important Industrial Catalytic Processes NO CO CxHy N2 CO2 H2O O2
  • 10. How to Define Reaction Rate?? Reaction Rate (r) = 1 ļ®i * Q dni dt Q = V, W or S.A. of catalyst ļ®i = Stoichiometric Coefficient ļ“i ļ®iMi = 0 involving species Mi (ļ®i is negative for reactants and positive for products) e.g. 2NH3 = N2 + 3H2 2 x (NH3) -1 x (N2) -3 x (H2) = 2N + 6H ā€“ 2N ā€“ 6H = 0 ni = # of moles of species Mi
  • 11. Chemical Reactions Four Basic Variables to Control Chemical Reactions: (1)Temperature (2)Pressure (3)Conc (4)Contact time Rate of Reaction = K(T) x F(Ci) K(T) = A exp(-E/RT) C H H H I Cl C H H H Cl I C H H H I Cl Energy Intensive & damaging to equipment and materials & non-selective ļ i (Ci)ļ”i
  • 12. A. Active phase - metal that provides active sites where the chemical reaction takes place B. Support or Carrier - high surface area oxide which disperses and stabilizes the active phase (adds efficiency, physicalstrength, sometimes selectivity) C. Promoter(s) - additive which improves catalyst properties, e.g. activity, selectivity, catalyst life Components of a Typical Heterogeneous Catalyst
  • 13. Pt Nanoparticles on Al2O3 Supports (a)
  • 14. Heterogeneous Catalysis A (g) ļƒ  B (g) ā€¢Minimize ļ„P ā€¢Minimize Mass Transport Resistances ā€¢Maximize Activity ā€¢Minimize Poisoning and Fouling Support (Al2O3) Active Metals (Pt, Co, MoO2) support
  • 15. Components of a Typical Heterogeneous Catalyst Component Material Types Examples Active Phase: metals noble metals: Pt, Pd; base metals: Ni, Fea metal oxides transition metal oxides: MoO2, CuO metal sulfides transition metal sulfides: MoS2, Ni3S2 Promoter: textural metal oxides Al2O3, SiO2, MgO, BaO, TiO2, ZrO2 chemical metal oxides alkali or alkaline earth: K2O, PbO Carrier or Supportb stable, high surface area metal oxides, carbons Group IIIA, alkaline earth and transition metal oxides, e.g. Al2O3, SiO2, TiO2, MgO, zeolites, and Carbon
  • 16.
  • 17. Active Catalytic Phases and Reactions They Typically Catalyze Active Phase Elements/Compounds Reactions Catalyzed metals Fe, Co, Ni, Cu, Ru, Pt, Pd, Ir,Rh, Au hydrogenation, steam reforming, HC reforming, dehydrogenation, ammonia synthesis, Fischer- Tropsch synthesis oxides oxides of V,Mn, Fe, Cu, Mo, W, Al, Si, Sn, Pb, B complete and partial oxidation of hydrocarbons and CO, acid-catalyzed reactions (e.g. cracking, isomerization, alkylation), methanol synthesis sulfides sulfides of Co, Mo, W, Ni hydrotreating ( hydrodesulfurization, hydrodenitrogenation,hydrodemetallation), hydrogenation carbides carbides of Fe, Mo, W hydrogenation, FT synthesis
  • 18. Support/Catalyst BET area (m2 /g) Pore Vol. Pore Diam. (nm) Activated Carbon 500-1500 0.6-0.8 0.6-2 Zeolites (Molecular Sieves) 500-1000 0.5-0.8 0.4-1.8 Silica Gels 200-600 0.40 3-20 Activated Clays 150-225 0.4-0.52 20 Activated Al2O3 100-300 0.4-0.5 6-40 Kieselguhr ("Celite 296") 4.2 1.14 2,200 Typical Physical Properties of Common Carrier (Supports)
  • 19. Heterogeneous Catalysis A (g) ļƒ  B (g) ā€¢Minimize ļ„P ā€¢Minimize Mass Transport Resistances ā€¢Maximize Activity ā€¢Minimize Poisoning and Fouling Support (Al2O3) Active Metals (Pt, Co, MoO2) support
  • 20. Heterogeneous Catalysis Steps 1, 2, 6, & 7 are diffusional processes => Small dependences on temp Steps 3, 4, & 5 are chemical processes => Large dependences on temp T2 T1 1.75 Phase Order of Magnitude cm2/s m2/s Temp and Pressure Dependences From Elements of Chemical Reaction Engineering, S. Fogler d d For Knudsen Diffusion For Bulk, Molecular or Fickā€™s Diffusion ļ¬ d < ļ¬ ļ¬ d > ļ¬
  • 21. Heterogeneous Catalysis Steps 1, 2, 6, & 7 are diffusional processes => Small dependences on temp Steps 3, 4, & 5 are chemical processes => Large dependences on temp ā€¢Given that the rates of the chemical steps are exponentially dependent on temperature and have relatively large activation energies compared to the diffusional process (20~200 kJ/mol Vs. 4-8 kJ/mol), they are generally the slow or rate-limiting processes at low reaction temperatures. ā€¢As the temperature increases, the rates of chemical steps with higher activation energies increase enormously relative to diffusional processes, and hence the rate limiting process shifts from chemical to diffusional. Kapp(T) = Aapp exp(-Eapp/RT)
  • 22. Film Mass Transfer Effect on Reaction Rate If Boundary Layer is Too Thick, Reaction Rate = Mass Transfer Rate A ļƒ  B -rA = kc (CAb ā€“ CAs) where Kc = DAB / ļ¤ As the fluid velocity (U) increases and/or the particle size (Dp) decreases, the boundary layer thickness (ļ¤) decreases and the mass transfer coefficient (Kc) increases k
  • 23. Internal Diffusion Effect on Reaction Rate -rA = k Ī· CAS Where Ī· = Effectiveness Factor Ī· = (CA)avg / CAS CA CAS = cosh cosh Ī¦pore (1 - x/L) ( Ī¦pore) cosh Ī· = (CA)avg / CAS = (tanh (Ī¦pore) ) / Ī¦pore Ī¦pore (Thiele Modulus) = L (k ļ²P / Deff)1/2 A ļƒ  B k L x
  • 24. Internal Diffusion Effect on Reaction Rate While the equations above were derived for the simplified case of first-order reaction and a single pore, they are in general approximately valid for other reaction orders and geometry if L is defined as Vp/Sp (the volume to surface ratio of the catalyst particle). Hence, L = z/2, rc/2 and rs/3, respectively, for a flat plate of thickness z, a cylinder of radius rc, and a sphere of radius rs.
  • 25. Elementary Reaction It is one that proceeds on a molecular level exactly as written in the balanced stoichiometric equation A + B ļƒ  C If it is an elementary reaction, A B C -rA = k [A]1 [B]1
  • 26. Elementary Reaction It is one that proceeds on a molecular level exactly as written in the balanced stoichiometric equation O3 ļƒ  O2 + O Is this an elementary reaction? If it is an elementary reaction, -rO3 = k [O3]1
  • 27. Elementary Reaction It is one that proceeds on a molecular level exactly as written in the balanced stoichiometric equation O3 ļƒ  O2 + O On molecular level, what really is really happening is: O2 + O3 ļƒ  O2 +O2 + O -rO3 = k [O3]1 [O2]1 We never really know for sure if we have an elementary reaction based on the balanced stoichiometric equation!!!
  • 28. Heterogeneous Catalysis A (g) ļƒ  B (g) Active Metals (Pt, Co, MoO2) support A + S A-S A-S B-S B-S B + S k1 k-1 k2 k-2 k3 k-3 Proposed Reaction Mechanism
  • 29. What If Adsorption Is Rate Limiting Step? Adsorption of A Surface RXN of A to B Desorption of B Length of Vector Is Proportional to RXN Rate Director of Vector Indicates Direction of RXN Net RXN of Adsorption Net RXN of Adsorption Net RXN of Surface RXN Net RXN of Surface RXN Net RXN of Desorption Following Approximations Can Be Made: 1. Adsorption of A is almost irreversible 2. Both surface rxn and desoprtion steps are almost at equilibrium Net RXN of Adsorption = Net RXN of Surface RXN = Net RXN of Desorption
  • 30. What If Adsorption Is Rate Limiting Step? Since it is an elementary reaction, A + S A-S k1 Where S is a free surface site and A-S is a chemisorbed complex -rA = k1 CA CS ļ±v = CS / Ctotal ļ±v = the fractional coverage of vacant site How can we experimentally measure Cs ??? Cs = functions of parameters that one can experimentally measure or easily obtain
  • 31. What If Adsorption Is Rate Limiting Step? Since both surface rxn and desorption steps are in near equilibrium, A-S B-S B-S B + S k2 k-2 k3 k-3 rnet = k2 CA-S ā€“k-2 CB-S ļ€ 0 k2 / k-2 = K2 = CB-S / CA-S rnet = k3 CB-S ā€“k-3 CB CS ļ€ 0 k3 / k-3 = K3 = CB CS / CB-S Both K2 and K3 are equilibrium constants which one can obtain: Let us do the site balance, Ctotal = CS + CA-S + CB-S = Const. K2 = CB-S / CA-S K3 = CB CS / CB-S CS = Ctotal 1 + [ (1 + K2) CB / (K2 K3) ] RT ln K = - ļ„G
  • 32. What If Adsorption Is Rate Limiting Step? CS = Ctotal 1 + [ (1 + K2) CB / (K2 K3) ] From the site balance and quasi-equilibrium approximation, -rA = k1 CA CS From the rate limiting step, Ctotal 1 + [ (1 + K2) CB / (K2 K3) ] = k1 Ctotal 1 + Kā€™ CB k1 = Where Kā€™ = (1 + K2) / (K2 K3) CA = PA / RT If A and B behave according to the ideal gas law, CB = PB / RT CA CA
  • 33. What If Surface Reaction Is Rate Limiting Step? K1 1 + K1 PA k2 PA -rA = A + S A-S A-S B-S B-S B + S k1 k-1 k2 k-2 k3 k-3 Rate Limiting Step Figure 1.16 from Fundamentals of Industrial Catalytic Processes
  • 34. What If Desoprtion Is Rate Limiting Step? K1 1 + (K1 + K1 K2) PA k3 PA -rA = A + S A-S A-S B-S B-S B + S k1 k-1 k2 k-2 k3 k-3 Rate Limiting Step K2
  • 35. Fundamental Catalytic Phenomena and Principles Catalyst Design Catalytic Properties (Activity and Selectivity) Chemical Properties (Oxidation State, Acidity, Surface Composition) Physical Properties (Surface Area, Pore Structure, Pore Density)
  • 37. CO Oxidation over Au/TiO2: Particle Size Effect 6 nm 2.5 nm 2 nm Au TiO2
  • 38. Particle Size Vs. Electronic Structure Change of Au

Editor's Notes

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