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Practice question

Question

Liquid-phase mass transfer coefficient (kL) is measured in a stirred tank vessel using steady-state method by sparging air. Oxygen uptake by the microorganism is measured. The bulk concentration of O2 is 10-^4 mol L^-1. Solubility of O2 in water at 25 ˚C is 10^-3 mol L^-1. If the oxygen consumption rate is 9×10-4 mol L^-1 s^-1, and interfacial area is 100 m^2/m^3, the value of kL is __________cm s^-1.

Explanation

Calculation based on standard general principles yields 1 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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