Question: A distillation column with a total condenser and a partial reboiler is separating two feeds. Feed 1 is a saturated liquid, and its rate is

A distillation column with a total condenser and a partial reboiler is separating two feeds. Feed 1 is a saturated liquid, and its rate is $100.0 \mathrm{kmol} / \mathrm{h}$. Feed 1 is $55.0 \mathrm{~mol} \%$ methanol, $21.0 \mathrm{~mol} \%$ ethanol, $23.0 \mathrm{~mol} \%$ propanol, and $1.0 \mathrm{~mol} \%$ butanol. Feed 2 is a saturated liquid with a flow rate of $150.0 \mathrm{kmol} / \mathrm{h}$. Feed 2 is $1.0 \mathrm{~mol} \%$ methanol, $3.0 \mathrm{~mol} \%$ ethanol, $26.0 \mathrm{~mol} \%$ propanol, and 70.0 $\mathrm{mol} \%$ butanol. We want to recover $99.3 \%$ of the propanol in distillate and $99.5 \%$ of the butanol in bottoms. Make appropriate assumptions, and find distillate and bottoms flow rates and mole fractions of distillate and bottoms.

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