The growth of a bacterium, B, is to be carried out in excess nutrient:

The growth rate for this bacteria is best described by a logistic growth model:

Where C_B is the cell concentration (g/dm ³ ) and and C _MAX are constant rate law parameters.

(1) Plot the cell concentration as a function of time in a 10-dm ³ batch reactor.
(2) If the reaction is to be carried out in a 10-dm3 CSTR, what is the exit cell concentration for a volumetric flow rate of 0.5 dm ³ /h. Vary the volumetric flow rate to arrive at a plot of exit cell concentration as a function of space time. On the same figure, plot the total number of cells exiting the reactor (i.e. C _B ) as a function of space time.

Additional information:
Initial cell concentration in feed 10 ^-6 g/dm ³ , = 0.5 h< ^-1 , C _Bmax = 5 x 10 ^-3 g/ dm ³ .

[2nd Ed. P4-35]