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Question

It is desired to cultivate 150 mg (dry weight) microbial cells with an empirical formula of C ₅ H ₇ O ₂ N. If the phosphorus requirement for the cells is 20% of the nitrogen requirement (on a weight/weight basis), the minimum amount of phosphorous required to be added to the cultivation medium is ________ mg. (rounded off to one decimal place)

Explanation

Calculation based on standard cell principles yields 3.7 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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