Answer
See the answer below.
Work Step by Step
Using the Ideal Gas Law, it follows:
$n=(59/760×1\ atm)×18750\ L/((0.082)(298))$
$n=595.26\ mol$
Thus:
$1000\ mL×0.785\ g/mL/46.07\ g/mol=17.04\ mol$
So, eventually all of the ethanol will evaporate, since the amount present is less than the amount required for saturation.