A binary mixture $($A and B$)$ are fractionated using a fractionator which has $3$ ideal

plates. The feed enters between $2$nd and the $3$rd trays. The feed is a saturated vapor with

mole fraction $0\mathrm{.}005.$ The condenser used is a total condenser and the reflux is at its

bubble point. The molar rate of reflux is $1\mathrm{.}3$ moles$/$mole of feed and rate of vaporization

in reboiler is $0\mathrm{.}6$ moles$/$mole of feed. The equation for equilibrium line is given as y $=$

$12\mathrm{.}6$ x$.$ Calculate the volume and concentration of distillate and the residue