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A mixture of diethylamine $($DEA$)$ and triethylamine $($TEA$)$ containing $50$ mol$\%$ of DEA is to be continuously fractionated at a rate of $8700$ kg$/$h and at a total pressure of $113\mathrm{.}3$ kPa. The top product should have $98\%$ more volatile component and the bottom product $2\%.$ The feed will be $50$ mol$\%$ vaporized before it enters the tower. A total condenser will be used and the reflux will be returned at the bubble point. Determine $()$ the product rates, kgh; $($ii$)$ the minimum reflux ratio; $($ii$)$ the number of theoretical trays required at a reflux ratio $1\mathrm{.}5$ times the minimum and $($iv$)$ the location of the feed tray.

According to the equilibrium data given below: