Problem

In bioreactors, the growth is autocatalytic in that the more cells you have, the greater t...

In bioreactors, the growth is autocatalytic in that the more cells you have, the greater the growth rate

The cell growth rate, rg, and the rate of nutrient consumption, rs, are directly proportional to the concentration of cells for a given set of conditions. A

Levenspiel plot of (1/–rs,)as a function of nutrient conversion Xs = (Cso Cs)/ Cso is given below in Figure P2-8B.

Figure P2-8B Levenspiel plot for bacteria growth.

For a nutrient feed rate of 1kg/h with Cso = 0.25 g/dm3, what chemostat (CSTR) size is necessary to achieve

(a) 40% conversion of the substrate.
(b) 80% conversion of the substrate.
(c) What conversion could you achieve with an 80-dm3 CSTR? An 80-dm3 PFR?
(d) How could you arrange a CSTR and PFR in series to achieve 80% conversion with the minimum total volume? Repeat for two CSTRs in series.
(e) Show that the Monod Equation for cell growth