If 35,000kg of whole milk containing 4% fat is to be separated in a 6 hour period into skim milk with 0.45% fat and cream with 45% fat, what are the flow rates of the two output streams from a continuous centrifuge which accomplishes this separation? (Basis 1 hour’s flow of whole milk.)(a) 5678 kg/hr(b) 5368 kg/hr(c) 2567 kg/hr(d) 2578 kg/hrThis question was addressed to me during an interview.This intriguing question comes from Energy Balance Numericals Without Reactions topic in portion Energy Balance of Bioprocess Engineering

If 35,000kg of whole milk containing 4% fat is to be separated in a 6

1.	If 35,000kg of whole milk containing 4% fat is to be separated in a 6 hour period into skim milk with 0.45% fat and cream with 45% fat, what are the flow rates of the two output streams from a continuous centrifuge which accomplishes this separation? (Basis 1 hour’s flow of whole milk.)(a) 5678 kg/hr(b) 5368 kg/hr(c) 2567 kg/hr(d) 2578 kg/hrThis question was addressed to me during an interview.This intriguing question comes from Energy Balance Numericals Without Reactions topic in portion Energy Balance of Bioprocess Engineering
Answer» Correct option is (B) 5368 kg/hr For EXPLANATION I would say: Mass in: Total mass = 35000/6 = 5833 kg. Fat = 5833 x 0.04 = 233 kg. And so Water plus solids-not-fat = 5600 kg. Mass out: Let the mass of cream be x kg then its total fat content is 0.45x. The mass of skim MILK is (5833 – x) and its total fat content is 0.0045 (5833 – x). Material BALANCE on fat: Fat in = Fat out 5833 x 0.04 = 0.0045(5833 – x) + 0.45x. And so x = 465 kg. So that the flow of cream is 465 kg / hr and skim milk (5833 – 465) = 5368 kg/hr.

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