preapare for me very simpe notes on the following ; with the needed diagrams

$13.$ Rectification I: Describe the operation of a staged rectification column. Write down the equations necessary for its description. Using these equations to describe the McCabe$-$Thiele diagram for determining the number of ideal $($equilibrium$)$ plates in the simplest case of the feed at its boiling point.

$14.$ Rectification II: Operating limits $-$ minimum reflux ratio and minimum number of stages. Effects of preheated feed, McCabe$-$Thiele diagram including the feed$-$line