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Chemical Reaction Engineering (CRE) is the field that studies the rates and mechanisms of chemical reactions and the design of the reactors in which they take place. Lecture 16

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Today’s lecture Enzyme Kinetics Noncompetitive Inhibition Bioreactors Monod Equation Yield Coefficients Washout 2

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Last lecture A given enzyme can only catalyze only one reaction. Urea is decomposed by the enzyme urease, as shown below. Michaelis Menten Equation The corresponding mechanism is: 3

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Lecture 16 - Bioreactors Nutrient ++ Products Nutrient ++ Products cells more cells 4

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Bioreactors 5

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inoculum t=0 time 8 Cells + Substrate More Cells + Product

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Bioreactors 9 Exponential Growth Phase Death Phase Stationar y Phase Lag Phase 0 time lnC c a)Phases of Bacteria growth: I. Lag II. Exponential III. StationaryIV. Death b) Monod growth rate law:

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10 Mass Balances: Accumulation = In - Out + Growth - Death Bioreactors

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Rate Laws: C p *= Product Concentration at which all metabolism ceases 11 Bioreactors

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Stoichiometry: A.) Yield Coefficients B.) Maintenance 12 Bioreactors

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v 0 C S0 V=V 0 vCCCSvCCCSC Volume=V 13 1) Mass balance:

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Bioreactors 14

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2) Rates: 3) Parameters: 15 Bioreactors

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Polymath Setup 1.) d(C C )/d(t)=-D*C C +(r g -r d ) 2.) d(C S )/d(t)=-D*(C S0 -C S )-Y sg *r g -m*C C 3.) d(C P )/d(t)=-D*C P +Y PC *r g 4.) rg=(((1-(C P /C pstar ))**0.52)*mumax*(C S /(K S +C S ))*C C 5.) D=0.2 6.) k d =0.01 7.) r d =k d *C C 8.) C S0 =250 9.) Y PC =5.6 10.) m=0.3 11.) mumax=0.33 12.) Y SC =12.5 13.) K S =1.7 16

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Bioreactors – Chemostats - CSTRs 1. Steady State - Neglect Death Rate and Cell Maintenance 2. Cell 17

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Bioreactors – Chemostats - CSTRs 3. Substrate 18

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Bioreactors CSTR Washout C DWDW DC 19 Washout dilution rate

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How does this figure relate to drinking a lot of fluids when you have an infection or cold? DC C DWDW D D maxprod 20 Maximum Product Flow Rate

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End of Lecture 16 21

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Chemical Reaction Engineering (CRE) is the field that studies the rates and mechanisms of chemical reactions and the design of the reactors in which they.

Chemical Reaction Engineering (CRE) is the field that studies the rates and mechanisms of chemical reactions and the design of the reactors in which they.

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