3.15. At room temperature sucrose is hydrolyzed by the catalytic action of the enzyme sucrase as follows: sucrase →products sucrose Starting with a sucrose concentration CA0 = 1.0 millimol/liter and an en- zyme concentration Ceo = 0.01 millimol/liter, the following kinetic data are obtained in a batch reactor (concentrations calculated from optical rotation measurements): CA, millimol/liter t, hr 0.84 0.68 0.53 0.38 0.27 0.16 0.09 0.04 0.018 0.006 0.0025 1 2 3 4 5 6 7 8 9 10 11 Determine whether these data can be reasonably fitted by a kinetic equation of the Michaelis–Menten type, or k;C,CEO CA + CM where CM = Michaelis constant If the fit is reasonable, evaluate the constants kz and CM. Solve by the integral method.

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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3.15. At room temperature sucrose is hydrolyzed by the catalytic action of the
enzyme sucrase as follows:
sucrase
sucrose
products
Starting with a sucrose concentration CA0 = 1.0 millimol/liter and an en-
zyme concentration CEo = 0.01 millimol/liter, the following kinetic data
are obtained in a batch reactor (concentrations calculated from optical
rotation measurements):
CA, millimol/liter
t, hr
0.84 0.68 0.53 0.38 0.27 0.16 0.09 0.04 0.018 0.006 0.0025
4 5 6 7
9 10
2
3
8
11
Determine whether these data can be reasonably fitted by a kinetic equation
of the Michaelis-Menten type, or
k¿CĄCE0
CA + CM
-TA =
where CM = Michaelis constant
If the fit is reasonable, evaluate the constants k, and Cm. Solve by the
integral method.
3.16. Repeat the above problem, except this time solve by the differential
method.
Transcribed Image Text:3.15. At room temperature sucrose is hydrolyzed by the catalytic action of the enzyme sucrase as follows: sucrase sucrose products Starting with a sucrose concentration CA0 = 1.0 millimol/liter and an en- zyme concentration CEo = 0.01 millimol/liter, the following kinetic data are obtained in a batch reactor (concentrations calculated from optical rotation measurements): CA, millimol/liter t, hr 0.84 0.68 0.53 0.38 0.27 0.16 0.09 0.04 0.018 0.006 0.0025 4 5 6 7 9 10 2 3 8 11 Determine whether these data can be reasonably fitted by a kinetic equation of the Michaelis-Menten type, or k¿CĄCE0 CA + CM -TA = where CM = Michaelis constant If the fit is reasonable, evaluate the constants k, and Cm. Solve by the integral method. 3.16. Repeat the above problem, except this time solve by the differential method.
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