An aqueous dilute fermentation

An aqueous dilute fermentation broth contains 0.5 wt% of penicillin F. It is to be extracted with amyl acetate. At room temperature and pH = 3.2 water and amyl acetate are esentially insoluble, and the distribution coefficient for the penicillin is m’ = 80.
(a) If 100 kg of the fermentation broth is extracted with 6 kg of the pure solvent in a single ideal stage, calculate the fractional recovery of penicillin and the penicillin concentration in the final raffinate and extract.
(b) What would be the recovery with two-stage crosscurrent extraction if 6 kg of fresh solvent is used in each stage?
(c) How many ideal stages would be needed to give the same recovery as in part (b) if a countercurrent cascade were used with 6 kg of solvent/100 kg feed?

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