(1) Calculate the effluent concentration for a substrate exhibiting Haldane kinetics from a CSTR (continuously stirred tank reactor) and (2) compare this with the value if the substrate were not inhibitory (S2/Ki = 0) for the following conditions: V = 24 m3 Q = 9 m3/d S0 = 400 mg/L Y = 0.5 mg/mg q = 7.5 g/g•d K = 7 mg/L b = 0.1 d-1 Ki = 15 mg/L

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter4: Temperature Effects On Atom Arrangements And Atom Motion
Section: Chapter Questions
Problem 4.25P
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A Haldane modification of the Monod reaction is often used to describe the kinetics of substrate utilization when the substrate itself is toxic at high concentrations (phenol is an example of this).

(1) Calculate the effluent concentration for a substrate exhibiting Haldane kinetics from a CSTR (continuously stirred tank reactor) and (2) compare this with the value if the substrate were not inhibitory (S2/Ki = 0) for the following conditions:

V = 24 m3

Q = 9 m3/d

S0 = 400 mg/L

Y = 0.5 mg/mg

q = 7.5 g/g•d

K = 7 mg/L

b = 0.1 d-1

Ki = 15 mg/L

Hint: θx = (active biomass in the system)/(production rate of active biomass) =  V/Q

And 1/θx = (YqS)/(K + S + S2/Ki) – b 

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