A packed-bed, immobilized-cell bioreactor containing yeast cells entrapped in Ca

Question

A packed-bed, immobilized-cell bioreactor containing yeast cells entrapped in Ca-alginate beads is used for the bioconversion of glucose to ethanol. The rate-limiting substrate is glucose, and its concentration in the feed bulk liquid phase is 5 g/1. The nutrient flow rate is 2 1/min. The particle size of Ca-alginate beads is 0.5 cm. The constants for this conversion are r_m = 100 mg S/cm3.h and K_s = 10 mg S/cm^3. The surface area of the alginate beads per unit volume of the reactor is 25 cm^2/c m^3 and the cross-sectional area of the bed is 100 c m^2. Assuming a first-order reaction-kinetics, determine the required bed height for 80% conversion of glucose to ethanol at the exit stream.

Explanation / Answer

Reaction is first order.

Initial concentration CA(0) is 5 g/L.

% conversion = reactant reacted/reactant fed

0.8=reactant reacted/5

Reactant reacted=4 g/L

Reactant leaving CA=(5-4) g/L= 1g/L

(CA(0)-CA)/-r = V/v

v is the volumetric flow rate is 2L/min.

(5-1)*60 /100*10-3=V/2

Volume of the reactor is 4800 m3.

Volume of the reactor=area *height

4800 m3=100*10-6 m2*height=48000000*25*10-6 =1200 m

height of the bed=1200 m

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