Please do the graph at the end and show equations!!!! $6.$ Distillation is used to separate pentane from hpexane. The feed amounts $100$ mol$/$s and has a mole ratio pentane$/$hexane $=0\mathrm{.}5.$ The bottom and top products have the composi$-$ tions xp $=0\mathrm{.}05$ and xp $=0\mathrm{.}98.$ The reflux ratio is $2\mathrm{.}25.$ The column pressure is i bar. The feed, at the bubbling point, enters the column exactly on the feed tray. The tray temperature is equal to the feed temperature. The pentane vapor pressure is given by: $310$ p $=$ exp$(11.($bar$)$ T$($K$)(1$ atm $=1\mathrm{.}013$ bar$)$ The vapor pressure of hexane is $1/3$ of the pentane vapor pressure over the whole temperature range. The average density of liquid pentane and hexane amount $8170$ resp. $7280$ mol$/$m$\text{'}.$ The heat of vaporization amounts $30$ kJ$/$mol$.$ The distance between the trays amounts $0\mathrm{.}50$ m$.$ a$.$ Calculate the feed temperature b$.$ Calculate the vapor stream from the reboiler c$.$ Calculate the required energy in the reboiler d$.$ Construct the yox diagram e$.$ Construct the operating lines and locate the feed line f$.$ Determine the number of equilibrium stages g$.$ Determine the height of the column