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ChE 230 Spring 2010
Problem Set 4 – 02/04/1002/11/10
1. (Linear equations) A separation system takes the feed (F) consistin of three species (A,B, and
C) as shown in the diagram below and creates the three exit streams (V, S, L) each with a
different composition.
Choose F = 100 kg/hr as the basis.
All percents are mass percents.
a)
Write the material balances for each component.
b)
Set up the problem in matrix form, then set up the matrix for the GaussJordan method.
For consistency, the
order of the rows
should be the balances for A, B, C from top to bottom,
and the
order of the columns
should be for V, S, and L from left to right.
Demonstrate your
understanding of the GaussJordan method by eliminating the first element in the third row.
c) Solve the problem using Polymath.
2. (Optimization) For a chemical process, the total operating cost a function of the operating
pressure,
P
, and the recycle ratio,
R
.
The total cost ($/yr) is the sum of the cost to compress
the feed ($1000
P
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 Spring '10
 Stinespring

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