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MATHS@WORK
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QUESTIONS FOR PUPILS A) As you can see from the diagram two feed streams of crude oil 1 and 2 are flowing into the distillation column. By heating the mixture the distillation column will separate the streams into three components, LPG, LVN and Petrol. Crude oils vary enormously and we do not know the percentage of each of the three components in each input stream, but we can measure how much of each component comes out of the distillation column. We need to work out the input percentages A, B, C and X, Y, Z so that we can ensure that the correct mix of crude1 : crude2 is being fed in to the column. We can alter the rate at which each of the crude oils flow into the column. We then measure how much of LPG, LVN and Petrol comes out for that particular case. The information below shows two cases. The first case has crude 1 and 2 both flowing in at 100 m³/hr and the second has crude 1 at 200 m³/hr and crude 2 at 150 m³/hr. Using the information below produce three sets of simultaneous equations and hence calculates the percentages A, B, C, X, Y and Z.
CASE 1
CASE 2
B) Following the worked example now look at the financial implications for running the distillation column using case2 i.e. 130 m3/hr of crude 1 and 150 m3/hr of crude 2.
The values and costs remain the same
How much profit will you make? Which way would you run the process?
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LPG 
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