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A mixture of benzene, toluene, and xylene enters a two-stage distillation process where some of the componentsare recovered. The distillation process operates at steady-state conditions with operating information as shown inthe table. In addition, the following information is known about the distillation process:
98.0% (by weight) of the xylene that enters Column A in the feed stream (Stream 1) leaves in the intermediate stream (Stream 3)
96.0% (by weight) of the benzene that enters in the feed stream (Stream 1) leaves in the top stream from Column B (Stream 4)
Find a set of independent equations that canbe solved for all the unknowns. Clearly identify
the unknowns and identifyyour equations. Solve for the unknowns.
Stream
Mass Flowrate
Composition (mass %)
Kg/h
Benzene
Toluene
Xylene
1
Feed
1275
30.0
25.0
45.0
2
Bottom Col A
0.0
1.0
99.0
3
Intermediate
4
Top Col B
5
Bottom Col B
The linear component ηi, de?ned just in the traditional way: η i = x' 1 A monotone differentiable link function g that describes how E(Yi) = µi is related to the linear compon
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