a binary, equimolal$-$overflow, constant relative volatility mixture with alpha $=2$ is to be distilled in a $100$ percent tray efficiency distillation column with a partial reboiler and a total condenser. A $3$ mole percent bottoms product and a $95$ mole percent distillate are to be produced from $8$ lb$-$mole$/$minute of a $35$ mole percent feed which is $50$ percent vaporized. Heat input to the reboiler is $4\mathrm{.}324$ x $10^6$ Btu$/$hr$.$ The molecular weight of the vapor from the reboiler is $73$ lbm$/$lb$-$mole and its heat of vaporization is $85$ Btu$/$ibm$.$ Reflux is saturated liquid. How many trays are required to make the separation, and what is the optimum feed tray?