Styrene is the building block for polystyrene, a polymer that enjoys ubiquitous use in products such as coffee cups and packaging peanuts." Styrene is made by dehydrogenation of ethylbenzene. Since reactor conversion is much less than 100%, a separation between styrene and ethylbenzene is needed. Using Antoine equations to calculate saturation pressures along with Raoult's law, calculate (a) the boiling point temperature of pure styrene at 2 bar, (b) the boiling point temperature for pure ethylbenzene at 2 bar, and (c) the dew point and bubble point temperatures for a 50:50 (mol:mol) mix of styrene-ethylbenzene system at 2 bar.