There is storage in a refinery unit where the feed is at a temperature of $80$ degrees Celsius and a pressure of $148$ psi.

Temporarily saved.

The composition of the feed in the tank includes methane, ethane, propane, normal butane, normal pentane and normal hexane and their molar component composition

$0\mathrm{.}14,0\mathrm{.}27,0\mathrm{.}30,0\mathrm{.}16,0\mathrm{.}08,0\mathrm{.}02,$ respectively.

We want to enter this feed into a distillation tower under the pressure of the mixture, so that the product vapor at the top of the tower contains $7\mathrm{.}97\%$ propane and

$3\mathrm{.}1\%$ pentane. In this situation, calculate the following in relation to the distillery tower:

A$)$ Estimate the minimum return flow ratio and the relative composition of the products?