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Review Chapters (1 – 6) CHPE550: Catalysis and Catalytic Processes Lecturer: Dr Hazim Fadhil Abbas Office : 5D-40, College of Engineering
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Introduction to reaction engineering Reaction Rate
The reaction rate is the rate at which a species looses its chemical identity per unit volume. The rate of a reaction can be expressed as the rate of disappearance of a reactant or as the rate of appearance of a product. Consider species A: A B -rA = the rate of a disappearance of species A per unit volume rB = the rate of formation of species B per unit volume
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Reactor Mole Balance Summary
Differential Algebraic Integral Batch CSTR PFR (Plug flow reactor) PBR (Packed bed reactor)
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Reactor Sizing CSTR Given – rA as a function of conversion, – rA=f(X), one can size any type of reactor. We do this by constructing a Levenspiel plot. 0.2 0.4 0.6 0.8 10 20 30 40 50 Here we plot either as a function of X. X XEXIT For vs. X, the volume of a CSTR is:
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Space Time & Space Velocity
Space time, τ, is obtained by dividing reactor volume (V) by the volumetric flow rate entering the reactor (vo): The space time is the time necessary to process one reactor volume of fluid based on entrance conditions. Space velocity, SV, is obtained by dividing the volumetric flow rate entering the reactor by the reactor volume : The SV is the reciprocal of the space time.
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Rate Law Basics k is given by the Arrhenius Equation: Where:
E = activation energy (cal/mol) R = gas constant (cal/mol*K) T = temperature (K) A = frequency factor (units of A, and k, depend on overall reaction order)
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Batch Stoichiometric Table
Species Symbols Initial Change Remaining A NA0 -NA0X NA=NA0(1–X) B NB0=NA0ΘB -(b/a)NA0X NB=NA0(ΘB –(b/a)X) C NC0=NA0ΘC (c/a)NA0X NC=NA0(ΘC+(c/a)X) D ND0=NA0ΘD (d/a)NA0X ND=NA0(ΘD+(d/a)X) Inert I NI=NA0ΘI NI = NA0ΘI NT0 NT=NT0+δNA0X
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Algorithm : Pressure Drop in a Packed Bed Reactor
Analyze the following second order gas phase reaction that occurs isothermally in a PBR: A B Mole Balance: Must use the differential form of the mole balance to separate variables (remember that FA = FAO * X): Rate Law: Second order in A and irreversible:
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Multiple Reactions and Pressure Drop
In terms of conversion: ε
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MEMBRANE REACTORS (MR’s)
Fogler page and Membrane Reactors are used to : (1) increase conversion when reaction thermodynamically limited (2) increase selectivity when multiple reactions are occurring
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(1) Thermodynamically limited reactions
These are reactions where equilibrium lies far to the left and therefore there is little conversion If reaction is exothermic, increasing the temperature will drive reaction further to the left ; decreasing the temp. results in very slow reaction rate . - therefore very little conversion If reaction endothermic, increasing the temp moves reaction to right therefore favouring higher conversion. However for many reactions increasing the temp can destroy the catalyst.
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STRUCTURE OF MEMBRANE REACTOR
Membrane can either be barrier to certain components while permeable to others, or contain active reactive sites and may be a catalyst in itself. Therefore membrane can either be inert or catalytic Achieve very high conversions by allowing one of reaction products diffuse out (eg. Hydrogen is small enough to diffuse through pores) , therefore high conversion, and reaction proceeds to completion
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the mole balance on hydrogen must be modified because
For the reaction: the mole balance on hydrogen must be modified because hydrogen leaves through both sides of the reactor and at the end of the reactor.Therefore the mole balance on hydrogen becomes: where Rb is the molar rate of B leaving the reactor kc is the mass transfer coefficient
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(2) Enhancing Selectivity
Selectivity can be achieved by controlling the feed of species through the reactor and through the membrane. Can enhance selectivity by keeping one reactant low. Can keep concentration low by feeding through sides of membrane
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Selectivity and Yield Instantaneous Overall Selectivity: Yield:
Example: desired product , undesired product,
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Finding the Rate Law Deferential Method Integral Method
Initial Rate Method Half Life Method Least Square Method
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