A distillation column is a process unit in which a feed mixture is separated by

Question

A distillation column is a process unit in which a feed mixture is separated by multiple vaporizations and condensations to form two or more product streams. The overhead product stream is rich in the most volatile components of the feed mixture (the ones that vaporize most readily), and the bottom product stream is rich in the least volatile components. The following flowchart shows a distillation column with two feed streams and three product streams.

Problem 4.8 Three Component Distillation A distiWation covurr is a process unit in which a feed mixture is separated by multiple vaporizations and condensations to form two or more preduct streans. The overhead product stream is rich in the most volatile components of the feed mixture (the ones that vaporize most readily), and the bottom product stream is ich in the least volatile components. The following flowchart shows a distillation column with two feed streams and three product streams, Stream 3 m, (kg A/h) Stream 1 m, (kg/h) 0.030 kg B/kg 0.970 kg C/kg Stream 4 1200.0 kgth 0.700 kg A/kg B (kg B/kg) X4kg C/kg) Stream 2 5300.0 kg/h Xza (kg A/kg) Stream5 ms (kg/h) 0.600 kg B/kg 0.400 kg Ckg Number of Balances How many independent material balances may be written for this system? exact pumber, no tolerance

Explanation / Answer

Overall balance

m1 + 5300 = m3 + 1200 + m5

Component A balance

m1 * 0 + 5300 * x2A = m3 + 1200*0.7 + m5*0

Component B balance

m1 * 0.03 + 5300* x2B = m3*0 + 1200*x4B + m5*0.6

Component C balance

m1 * 0.970 + 5300 * 0 = m3*0 + 1200*x4C + m5*0.4

Independent material balances = 4

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