The mixture containing $40\%-$pentane and $60\%-$hexane by mole will be distilled to $95\%$ n$-$pentane in the distillate and $95\%-$hexane in the bottom product.a$)$ Calculate the minimum number of plates,b$)$ Calculate the minimum reflux ratio,c$)$ Determine the number of plates for R $=1\mathrm{.}2$ min$)$ feed is saturated vapor, ii$)$ feed is saturated liquid,iti$)$ feed contains $50\%$ of vapor and $50\%$ of liquidd$)$ Discuss all the results.