7. Consider the liquid enzymatic reaction: E +SSE S E+ P The reaction has a rate law following the Michaelis-Menten kinetics: -rs = - dt dCs Vmax Cs Cs+ KM (a) In a set of experiments, the following Lineweaver-Burk plot (1/-rs) as a function of (1/Cs) was obtained. Please determine the KM and Vmax. If the total enzyme concentration is 0.5 g/L, please also determine the enzyme's specific maximum reaction rate Kcat- (h L.mol-1) 1 T's y = 0.5 + 2.0x 1 (L mol-1) Cs (b) What is the substrate consumption rate (-rs ) when the substrate concentration is Cs =1.0 mol/L? Also, what is the substrate concentrations Cs when the consumption rate -rs decreases by half. (c) If the enzymatic reaction is carried out in a CSTR with a volume of 50 L, the volume flow rate is 2.0 L/h, the substrate concentration in the entrance is 5.0 mol/L, please determine the concentration of the substrate Cs in exit of the CSTR. vo vo Cso -> Cs Et CP

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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7.
Consider the liquid enzymatic reaction:
E +SSE S E + P
The reaction has a rate law following the Michaelis-Menten kinetics:
Vmax · Cs
Cs + KM
dCs
%3D
-rs
%3D
dt
(a) In a set of experiments, the following Lineweaver-Burk plot (1/-rs) as a function of (1/Cs)
was obtained. Please determine the KM and Vmax: If the total enzyme concentration is 0.5
g/L, please also determine the enzyme's specific maximum reaction rate Kcat-
(h. L mol-1)
rs
y = 0.5 + 2.0x
1
(L- mol-1)
Cs
(b) What is the substrate consumption rate (-rs ) when the substrate concentration is Cs =1.0
mol/L? Also, what is the substrate concentrations Cs when the consumption rate -rs
decreases by half.
%3D
(c) If the enzymatic reaction is carried out in a CSTR with a volume of 50 L, the volume flow
rate is 2.0 L/h, the substrate concentration in the entrance is 5.0 mol/L, please determine
the concentration of the substrate Cs in exit of the CSTR.
vo
Cso
vo
Cs
Et
CP
V
3
Transcribed Image Text:7. Consider the liquid enzymatic reaction: E +SSE S E + P The reaction has a rate law following the Michaelis-Menten kinetics: Vmax · Cs Cs + KM dCs %3D -rs %3D dt (a) In a set of experiments, the following Lineweaver-Burk plot (1/-rs) as a function of (1/Cs) was obtained. Please determine the KM and Vmax: If the total enzyme concentration is 0.5 g/L, please also determine the enzyme's specific maximum reaction rate Kcat- (h. L mol-1) rs y = 0.5 + 2.0x 1 (L- mol-1) Cs (b) What is the substrate consumption rate (-rs ) when the substrate concentration is Cs =1.0 mol/L? Also, what is the substrate concentrations Cs when the consumption rate -rs decreases by half. %3D (c) If the enzymatic reaction is carried out in a CSTR with a volume of 50 L, the volume flow rate is 2.0 L/h, the substrate concentration in the entrance is 5.0 mol/L, please determine the concentration of the substrate Cs in exit of the CSTR. vo Cso vo Cs Et CP V 3
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