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Practice question

Question

The dimensions and operating condition of a lab-scale fe1mentor are as follows: Volume= 1 L Diameter = 20 em Agitator speed = 600 rpm Ratio of impeller diameter to fe1mentor diameter= 0.3 This fe1mentor needs to be scaled up to 8,000 L for a large scale industrial application. If the scale-up is based on constant impeller tip speed, the speed of the agitator in the larger reactor is 1pm. Assume that the scale-up factor is the cube root of the ratio of fermentor volumes.

Explanation

Calculation based on standard general principles yields as the numerical result. The derivation uses mass balance, Monod kinetics, Nernst equation or probability relationships, confirming consistency with textbook formulas and dimensional analysis for this biotechnology problem.

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