Two distillation columns, which are overseen by engineers Gianna and Peter, separate three components. A liquid mixture enters the first column at $606k\frac{g}{s}$ and contains $35\mathrm{.}0$ mass $\%$ ethanol $(C_2($:$H_{5}OH\}$ mass $\%$ propanol $(C_3{H}_{7}OH),$ and the balance butanol $(C_4{H}_{9}OH).$ The bottom product stream of the first column contains $93\mathrm{.}1$ mass $\%$ B and no $E_1$ and $95\mathrm{.}1\%$ of the $B$ in the feed stream is recovered in the bottom product stream. The overhead product of the first column is used as the feed stream to the second column. The wverhead product from the second column contains $94\mathrm{.}3\%$ of the $E$ in the feed to this column. The composition of the overhead product stream is $91\mathrm{.}5$ mass $\%$ E and the balance $P.$

Find the component mass flow rates $(k\frac{g}{s})$ exiting in the overhead product of the first distillation column. Stream numbering is same as PFD for question $1$ :

$m_{3,E}^{}=$

$m_{3,P}^{}=$

$m_{3,B}^{}=$

$k\frac{g}{s}$

$k\frac{g}{s}$

$k\frac{g}{s}$