Elements of
Chemical Reaction Engineering
6th Edition



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Essentials of
Chemical Reaction Engineering
Second Edition

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Chapter 6: Isothermal Reactor Design: Molar Flow Rates

Additional Homework Problems

CDP6-TB

 

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

IMAGE 04eq29.gif

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

IMAGE 04eq30.gif

Where CB 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 , IMAGE 04eq31.gif= 0.5 h< -1 , C Bmax = 5 x 10 -3 g/ dm 3 .

[2nd Ed. P4-35]