A flash tank $is$ being fed with a feed that has $35$ mol$/$s $of$ n$-$pentane, $50$ mol$/$s cis$-2-$butene, and $45$ mol$/$s n$-$butane

$1.At300$ kPa calculate the bubble and dew point temperatures with the given feed composition

$2.$ Now, for n$-$butane, find the recovery when temperature is $280$ K and pressure $is200$ kPa

$3.$ What $is$ the temperature $if$ you could recover $80\%$ cis$-2-$butene in the vapor? The flash tank works at $100$ kPa. Antoines coeffcients to be used: A $=([15\mathrm{.}8333,15\mathrm{.}8171,15\mathrm{.}6782])$

B $=([2477\mathrm{.}07,2210\mathrm{.}71,2154\mathrm{.}90])$

C $=([-39\mathrm{.}94,-36\mathrm{.}15,-34\mathrm{.}42])$