Enzymes - Bioprocess Engineering: Kinetics, Biosystems, Sustainability and Reactor Design - page 387

is 100%, i.e. no impact of immobilization on the enzyme on catalytic activity. Determine
the conversion of substrate if the reactor has a working volume of 1000 L.
8.9. In an enzymatic reaction, substrate S is converted irreversibly to produce P. It is
suspected that the product inhibits the reaction, and consequently the rate of the
reaction is determined for four values of S at each of four levels of the product
concentration P. The 16 rate measurements are collected in Table P8.9 . Determine the
rate constants and type of product inhibition.

TABLE P8.9 Enzymatic Rate Data r P at Four Levels of S and P

P, mg/L

S, g/L 3 9 27 81

0.1 0.073 0.058 0.036 0.017

0.4 0.128 0.102 0.064 0.030

1.6 0.158 0.126 0.079 0.037

6.4 0.168 0.134 0.084 0.039

8.10. Decarboxylation of glyoxalate (S) by mitochondria is inhibited by malonate (I). Using
data in Table P8.10 obtained in batch experiments, determine the following:

TABLE P8.10

Rate of CO 2 evolution, r CO2 , mmol/(L h)

Glyox
S, mmol/L I 0 I 1.26 mmol/L I 1.95 mmol/L

[ [ [

0.25 1.02 0.73 0.56

0.33 1.39 0.87 0.75

0.40 1.67 1.09 0.85

0.50 1.89 1.30 1.00

0.60 2.08 1.41 1.28

0.75 2.44 1.82 1.39

1.00 2.50 2.17 1.82

(a) What type of inhibition is this?
(b) Determine the constants r max , K m , and K I
8.11. We wish to treat 50 L/min of liquid feed containing 1 mol-A/L to 98% conversion with
a batch reactor system. The overall reaction stoichiometry is given by

k 1 C A
K m

2 A / R þ U ; r ¼

þC A

0.8 moles $ liter 1 $ min 1 and K m ¼

where k 1 ¼ 0.025 mol/L. For each batch of opera-

tion, 6 h of total preparation time is needed. Determine the reactor size needed to
complete the task.