$100$kmol$*h-1$ of a mixture containing $10,20,30,$ and $40$mol$\%$ of propane, $n-$butane, $n-$pentane, and $n-$hexane, respectively, is preheated before entering a distillation tower $($SEPARATOR$).$ The liquid mole fraction of the mixture is thus $80\%.$ Calculate the composition of both liquid and vapor phases and the temperature of the vapor$-$liquid mixture at $700$kPa. The initial temperature of the mixture is $25C,$ and the pressure drop can be neglected.

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