A binary system of species $1$ and $2$ consists of vapor and liquid phases in equilibrium at a

temperature T$.$ At temperature T we have, Assuming the validity of the modified Raoult equation, determine:

a$)$ the pressure and liquid composition for y$2=0\mathrm{.}53.$

b$)$ Show whether or not the system exhibits an azeotrope at the given T and, if so$,$

If so$,$ determine its composition and pressure.