Fresh halibut livers containing 25.7% oil are to be extracted with pure ethyl et

Question

Fresh halibut livers containing 25.7% oil are to be extracted with pure ethyl ether to remove 95% of the oil in a counter current multistage leaching process. The feed rate is 1000 kg of fresh livers per hour. The final exit overflow solution is to contain 70wt% oil. The retention of solution by inert solids (oil-free liver) of the liver varies as follows, where N is kg inert (solid/kg) solution retained and yA is kg oil/kg solution.

N            y

4.88      0

3.50      0.2

2.47      0.4

1.67      0.6

1.39      0.81

calculate the amounts and compositions of the exit streams and the total number of theoretical stages.

Explanation / Answer

ANSWER:

Weight % of Oil = 25.7 Feed Rate = 1000kg / hour To be extracted = 95% of oil Overflow solution = 70% of oil The fraction extracted, p, can be defined as: p = amount of solution

Y2 = 0; V2 = ? X2 = ? ; L2 = ? Remaining oil = 12.85kg/hr Only solid = 743kg/hr Y1 = 0.7 ; V1 = ? X1 = 0.257; L1 = 257kg/hr Feed rate = 1000kg/hr Only solid = 743 kg/hr From solute balance

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