A mixture of $40$ mole $\%$ of isopropanol in water is to be batch distillate at $1$ atm. Until $70$ mole $\%$ of the charge has been vaporized. Calculate the composition of the liquid residue remaining in the still pot and the average composition of the collected distillate. VLE date for the system in mole fraction of isopropanol at $1$atm is given below.$\backslash$table$[[$T$\_($ink$),366,357,355\mathrm{.}1,354\mathrm{.}3,353\mathrm{.}6,353\mathrm{.}2,353\mathrm{.}3,354\mathrm{.}5],[$y$,0\mathrm{.}22,0\mathrm{.}462,0\mathrm{.}524,0\mathrm{.}569,0\mathrm{.}593,0\mathrm{.}682,0\mathrm{.}742,0\mathrm{.}916],[$x$,0\mathrm{.}012,0\mathrm{.}084,0\mathrm{.}198,0\mathrm{.}35,0\mathrm{.}453,0\mathrm{.}679,0\mathrm{.}769,0\mathrm{.}944]]$