EXAMPLE $3\mathrm{.}1$ Partial Evaporator $-$ Mathematical Method

A total of $100mo\frac{l}{s}$ of a liquid mixture with $40$mol$\%$ benzene and

$60$mol$\%$ toluene is fed to a partial evaporator operating at $760mmHg.$

The vessel is heated to vaporize a fraction of the liquid and operates

at VLE. Determine the evaporator's temperature and the amount and

composition of each phase.