A bubble cap fractionating column consisting of $12$ plates

working at an average efficiency of $75\%$ is being used to

distill $1000$ kg$/$hr of aqueous methanol at its bubble point

enters the tower. The feed, overhead product and bottom

product are $50$ mole $\%,90$ mole $\%$ and $10$ mole $\%$ methanol

respectively. A total condenser is provided. The reflux is

sent at its saturation temperature. If the reflux ratio is $1\mathrm{.}7$

times the minimum check whether the column available is

satisfactory. VLE data are given below :

x y

$0\mathrm{.}080$

$0\mathrm{.}10\mathrm{.}42$

$0\mathrm{.}20\mathrm{.}58$

$0\mathrm{.}30\mathrm{.}67$

$0\mathrm{.}40\mathrm{.}73$

$0\mathrm{.}50\mathrm{.}78$

$0\mathrm{.}70\mathrm{.}87$

$0\mathrm{.}80\mathrm{.}96$

$0\mathrm{.}950\mathrm{.}98$