Catalysis for Chemical Engineers A Brief History and Fundamental Catalytic Principles What is Catalysis? The science of catalysts and catalytic processes. A developing science which plays a critically important role in the gas, petroleum, chemical, and emerging energy industries. 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+ Fe3+ + Ce3+ (Slow Reaction) Homogeneous Catalysis 2Fe2+ + Mn4+ 2Fe3+ + Mn2+ (Fast Reaction) Mn2+ + 2Ce4+ Mn4+ + 2Ce3+ Fe2+ + Ce4+ Fe3+ + Ce3+ CO + H2O CO2 + H2 S* + H2O H2 + O-S* O-S* + CO CO2 + S* CO + H2O CO2 + H2 @ low temperature (Slow Reaction) (Faster Reaction) Heterogeneous Catalysis What is Catalyst? rD N2 (Desired Reaction) rU NH3 (Undesired Reaction) NO SD/U = From http://www.automotivecatalysts.umicore.com rD rU Rate of formation of D = Rate of formation of U Rh SD/U Pt SD/U How Important Is Catalysis? Chemicals Fibers, Plastics, Food, Home Products, Pharmaceuticals Fuels Heating, Transportation, Power Raw Materials 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 O2 N2 CO2 H2O How to Define Reaction Rate?? Reaction Rate (r) = 1 dni i * Q dt Q = V, W or S.A. of catalyst i = Stoichiometric Coefficient i iMi = 0 involving species Mi (i is negative for reactants and positive for products) e.g. 2NH3 = N2 + 3H2 ni = # of moles of species Mi 2 x (NH3) -1 x (N2) -3 x (H2) = 2N + 6H – 2N – 6H = 0 Chemical Reactions Four Basic Variables to Control Chemical Reactions: Rate of Reaction = K(T) x F(Ci) i (Ci)i K(T) = A exp(-E/RT) H H C (1) Temperature (2) Pressure (3) Conc (4) Contact time I H Cl H H C I H Cl Energy Intensive & damaging to equipment and materials & non-selective H H C H Cl I Components of a Typical Heterogeneous Catalyst A. Active phase - metal that provides active sites where the chemical reaction takes place B. Support or Carrier - high surface area oxidewhich disperses and stabilizes the active phase (adds efficiency, physical strength, sometimes selectivity) C. Promoter(s) - additive which improves catalyst properties, e.g. activity, selectivity, catalyst life Pt Nanoparticles on Al2O3 Supports (a) Heterogeneous Catalysis A (g) B (g) Support (Al2O3) Active Metals (Pt, Co, MoO2) support • Minimize P • Minimize Mass Transport Resistances • Maximize Activity • Minimize Poisoning and Fouling Components of a Typical Heterogeneous Catalyst Component Active Phase: Material T ypes metals Examples noble metals: Pt, Pd; base metals: Ni, Fea metal oxides metal sulfides t ransition met al oxides: MoO2, CuO t ransition met al sulfides: MoS2, Ni3S2 Promote r: textural metal oxides Al2O3, SiO2, MgO, BaO, T iO2, ZrO2 chemical metal oxides alkali or alkaline earth: K2O, PbO st able, high surface area metal oxides, carbons Group IIIA, alkaline earth and t ransition metal oxides, e.g. Al2O3, SiO2, TiO2, MgO, zeolites, and Carbon C arri er or S upportb Active Catalytic Phases and Reactions They Typically Catalyze Active P haseElements/Compounds Reactions Cat alyzed metals Fe, Co, Ni, Cu,Ru, P t , P d, Ir, Rh, Au hydrogenat ion, st eam reforming, HC reforming, dehydrogenation, ammonia synt hesis, FischerT ropsch synthesis oxides oxides of V,Mn, Fe, Cu, M o, W , Al, Si, Sn, P b, B com plete and partial oxidation of hydrocarbons and CO, acid-cat alyzed reactions (e.g. cracking, isomerization, alkylation), methanol synt hesis sulfides sulfides of Co, Mo, W, Ni hydrotreat inghydrodesulfurizat ( ion, hydrodenit rogenation, hydrodemetallation), hydrogenat ion carbides carbides of Fe, Mo, W hydrogenat ion, FT synthesis Typical Physical Properties of Common Carrier (Supports) Support/Catalyst BET area (m2/g) Pore Vol. 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 4.2 1.14 2,200 Kieselguhr ("Celite 296") Pore Diam. (nm) Heterogeneous Catalysis A (g) B (g) Support (Al2O3) Active Metals (Pt, Co, MoO2) support • Minimize P • Minimize Mass Transport Resistances • Maximize Activity • Minimize Poisoning and Fouling 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 For Knudsen Diffusion Order of Magnitude Phase cm2/s m2/s d Temp and Pressure Dependences T2 T1 1.75 d< For Bulk, Molecular or Fick’s Diffusion d From Elements of Chemical Reaction Engineering, S. Fogler d> 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 • 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. • 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 k AB -rA = kc (CAb – CAs) where Kc = DAB / As the fluid velocity (U) increases and/or the particle size (Dp) decreases, the boundary layer thickness () decreases and the mass transfer coefficient (Kc) increases Internal Diffusion Effect on Reaction Rate k AB -rA = k η CAS Where η = Effectiveness Factor η = (CA)avg / CAS L x cosh Φpore (1 - x/L) CA = cosh( Φpore) CAS Φpore (Thiele Modulus) = L (k P / Deff)1/2 η = (CA)avg / CAS = (tanh (Φpore) ) / Φpore 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+BC If it is an elementary reaction, A B -rA = k [A]1 [B]1 C Elementary Reaction It is one that proceeds on a molecular level exactly as written in the balanced stoichiometric equation O3 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 O2 + O On molecular level, what really is really happening is: O2 + O3 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) B (g) Active Metals (Pt, Co, MoO2) support Proposed Reaction Mechanism A + S A-S B-S k1 k-1 k2 k-2 k3 k-3 A-S B-S B + S What If Adsorption Is Rate Limiting Step? Adsorption of A Length of Vector Is Proportional to RXN Rate Director of Vector Indicates Direction of RXN Net RXN of Adsorption Surface RXN of A to B Net RXN of Surface RXN Desorption of B Net RXN of Desorption Net RXN of Adsorption = 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 What If Adsorption Is Rate Limiting Step? A + S k1 A-S Where S is a free surface site and A-S is a chemisorbed complex Since it is an elementary reaction, -rA = k1 CA CS v = the fractional coverage of vacant site v = CS / Ctotal 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 k2 k-2 k3 k-3 B-S rnet = k2 CA-S –k-2 CB-S 0 k2 / k-2 = K2 = CB-S / CA-S B + S rnet = k3 CB-S –k-3 CB CS 0 k3 / k-3 = K3 = CB CS / CB-S Both K2 and K3 are equilibrium constants which one can obtain: RT ln K = - G 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) ] What If Adsorption Is Rate Limiting Step? From the site balance and quasi-equilibrium approximation, CS = Ctotal 1 + [ (1 + K2) CB / (K2 K3) ] From the rate limiting step, -rA = k1 CA CS = k1 Ctotal CA 1 + [ (1 + K2) CB / (K2 K3) ] = k1 Ctotal CA 1 + K’ CB Where K’ = (1 + K2) / (K2 K3) If A and B behave according to the ideal gas law, CA = PA / RT CB = PB / RT What If Surface Reaction Is Rate Limiting Step? A + S k1 k-1 A-S Rate Limiting Step A-S B-S -rA = k2 k-2 k3 k-3 B-S B + S k2 K1 PA 1 + K1 PA Figure 1.16 from Fundamentals of Industrial Catalytic Processes What If Desoprtion Is Rate Limiting Step? A + S A-S k1 k-1 k2 k-2 A-S B-S Rate Limiting Step B-S k3 k-3 B + S -rA = k3 K1 K2 PA 1 + (K1 + K1 K2) PA Fundamental Catalytic Phenomena and Principles Chemical Properties (Oxidation State, Acidity, Surface Composition) Physical Properties (Surface Area, Pore Structure, Pore Density) Catalyst Design Catalytic Properties (Activity and Selectivity) Structure Sensitive Reactions CO Oxidation over Au/TiO2: Particle Size Effect 2 nm 2.5 nm TiO2 6 nm Au Particle Size Vs. Electronic Structure Change of Au