Bioprocess Engineering 2nd Edition by Fikret Kargi,Michael Shuler

تمرين 9

The enzyme, urease, is immobilized in Ca-alginate beads 2 mm in diameter. When the urea
concentration in the bulk liquid is 0.5 mM the rate of urea hydrolysis is v = 10 mmoles-l-h.
Diffusivity of urea in Ca-alginate beads is and the Michaelis constant
for the enzyme is By neglecting the liquid film resistance on the beads (i.e., determine the following:
a. Maximum rate of hydrolysis
Thiele modulus
and effectiveness factor

b. What would be the
values for a particle size of Dp = 4 mm?
Hint: Assume
for large values of