For a binary mixture you are provided the following information at T$=50$C

g$^$E$/($RT$)==$ A x$1$ X$2$

In addition you are told that at $50$ C P$1($sat$)=100$ kPa; P$2($sat$)=50$ kPa

You are also told that this binary mixture forms an azeotrope at

x$1=0\mathrm{.}65.$

$($a$)$ Is that possible for this binary mixture $(9$ points$)$

$($b$)$ Do azeotrope cause any problems in the Chemical Industry $(1$ point$)$