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A solution containing 3 0 wt . % benzene ( B ) , 4 5 wt . % toluene ( T ) and 2 5

A solution containing 30 wt.% benzene (B),45 wt.% toluene (T) and 25 wt.% xylene (X) is fed
into a distillation process as shown in the attached diagram. The overhead product from the first
column contains (by wt.)91.40% B,8.30% T, and 0.30% X. The overhead product from the second
column contains 4.25% B,91.60% T, and 4.15% X. One-third of the bottom product of the second
column is recycled into the first column. It is also required that the benzene in the first column
overhead product be 20 times that of the second column overhead product, and 2 times that of the
second column bottom product. Assuming a basis of 100 kg fresh feed, carry out the following
operations:
(a) Carry out DOF analysis for all possible units and mixing points that mass balance can be carried
out.
(b) Derive and show all the independent simultaneous linear mass balance equations for the system
using all the information provided.
(c) Solve the mass balance equations using the Excel Solver only (as demonstrated in class/recitation).
The formula used in each cell must be shown in the submitted work as well as the computed cell result.

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