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Crude oil is fractioned by two separating columns. The incoming crude oil is com

ID: 532080 • Letter: C

Question

Crude oil is fractioned by two separating columns. The incoming crude oil is composed of the following weight fractions: 0.0400 gas, 0.210 gasoline, 0.120 kerosene, 0.110 diesel, 0.100 lubricating oil, 0.110 heating oil, and the rest solids. The crude oil is fed into the first column at 1.250 x 103 kg/hr producing a stream of gas, a 5:1 gasoline to kerosene stream, a stream containing kerosene and diesel, and 683 kg/hr stream of the bottoms. The bottoms, containing diesel, lubricating oil, heating oil, and solids, is fed into a second distillation column that separates the components into three streams. The top stream contains diesel and heating oil. The middle stream contains heating oil and lubricating o and the bottom stream contains the solids. If you want to produce 169 kg/hr of the stream containing heating and lubricating oil, find: 1 The flow rate, m3, of the gasoline and kerosene stream 2 The composition of the heating oil and lubricating oil stream 3 The composition of the diesel and heating oil stream.

Explanation / Answer

Mass fraction of solids in feed= 1-0.04-0.210-0.120-0.110-0.100-0.110 =0.31

Flow rate of curde oil= 1250 kg/hr. All the solid are removed from stream-8, mass flow rate of solids entering = mass flow rate of solids in stream-8

Hence m8= 1.250*1000*0.31= m8, m8= 387.5 kg/hr.

Writing balance of lubricating oil from 2nd distillation column, 683*x14= 169*0.814

Hence x14= 0.20

Writing overall balance across the 2nd distillation column

683= 387.5(solids)+169(m7)+m6, m6= 683- 387.5-169= 126.5 kg/hr

Writing overall heating oil balance of the entire plant

1.250*1000*0.1= 169*0.186+x17*126.5, x17=0.74, x16=1-0.74=0.26

Writing heating oil balance across the 2nd distillation column

683*x13= 125 , x13= 125/683= 0.183, x15= m8/m5= 387.5/683= 0.567

Hence x12= 1-x14-x13-x15= 1-0.2-0.183-0.567= 0.05

Writing overall gas balance, gas entering = 1.250*1000*0.04= 50 kg/hr

This is leaving as m2. Hence flow rate, m2= 50 kg/hr

Wiring overall plant balance, 1250= m2+m5+m3+m4

Hence m3+m4= 1250-50-683= 517

Writing gasoline balance across the 1st distillation column( Gasoline is leaving from 1st distillation column)

1250*0.120= m3*x8 =150

Given m3*x8/m3*x9= 5/1 hence x8/x9= 5, x8= 5x9

But x8+x9= 1, 5x9+x9=1, x9=0.167, x8=1-0.167=0.833

Hence m3=150/x8= 150/0.833= 180 kg/hr

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