2005 Fall HW3 - CHE 339 BIO 335/BME 339 Fall 2005...

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CHE 339/ BIO 335/BME 339 Fall 2005 Homework #3 Assigned: Sep 25, 2005 Due: Tuesday, October 4, 2005 1. From Shuler and Kargi 2. An aerobic batch fermentation is conducted at 37 ˚ C. Previous experiments have shown that the parameter k L a is constant throughout the fermentation and equal to 2000 h -1 . The doubling time of the cells in exponential growth is 50 min, the oxygen yield coefficient is Y x/o = 1.0 g cells/ g O 2 and C*=2x10 -5 moles O 2 /l. a) Assume for a moment that although the cells consume O 2 their growth rate is not affected by the dissolved oxygen concentration. Plot the cell concentration and dissolved oxygen concentration in the fermenter as a function of time, using X initial =10 -3 g cells/l. b) In reality the dissolved oxygen concentration, C O2 affects the growth rate. The effect of dissolved oxygen on the growth rate is described by a Monod-type relation, where K O2 = 5x10 -7 moles O 2 /l. Derive the equations that will allow you to calculate C
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