Tutorial A mixture of $$ 62 \% $$ cumene, $$ 7 \% $$ toluene and the emainder benzene needs to be separated n a column to recover $$ 92 \% $$ of cumene in the distillate. If the feed stream flowrate is $$ 100 \mathrm{~kg} / $$ and the ratio of the distillate to bottom is 3 to 5, what are the flowrates of the top and bottom stream and what are their compositions? Senzene in the top stream cannot exceed $$ 5 \mathrm{wt} \% $$.

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Clarke Beck · Accepted Answer

The distillate flow rate is $$ 37.5 \, 	ext{kg/h} $$ with a composition of $$ 57.04 \, 	ext{kg/h} $$ cumene, $$ y_T $$ toluene, and $$ 1.875 \, 	ext{kg/h} $$ benzene. The bottoms flow rate is $$ 62.5 \, 	ext{kg/h} $$ with a composition of $$ 4.96 \, 	ext{kg/h} $$ cumene, $$ 7 - y_T $$ toluene, and $$ 29.125 \, 	ext{kg/h} $$ benzene. The exact toluene composition in the distillate depends on the solution of the mass balance for toluene.

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