A stripping column with a partial reboiler is processesing $100$ kmol$/$hr of a saturated liquid feed at $300$kPa. The feed is $25\%$mol n$-$butane, $35\%$mol n$-$pentane, and $40\%$mol n$-$hexane. The column is at $300$kPa, and CMO is valid. Bottoms flow rate is $20$k mol$/$hr$.$ The fractional recovery of n$-$pentane in distillate is $95\%$mol. Assume all n$-$butane is in distillate, and calculate the distillate flow rate and distillate and bottoms compositions. Determine the temperature, vapor mole fractions, and liquid mole fractions leaving each stage. Manually increment the stage location. Determine the total number of stages required. Use equation $(2-28)$ for equilibrium data. Do NOT converge on a better guess for n$-$butane distribution. $($Equation $2-28$ is an lnK equation from a DePriester chart in english units $[$psia$,\backslash$deg R$])$