5) (20 points) A liquid of 30 mol\% toluene, 40 mol\% ethylbenzene, and 30 mol\% water is subjected to a continuous flash distillation at 0.5atm. Assume that mixtures of ethylbenzene and toluene obey Raoult's law and that the hydrocarbons are immiscible in water and vice versa. a) Derive a SINGLE equation for the flash stage pressure at the bubble-point temperature, where temperature is the only variable (unknown) in the equation. (you would solve this to find the bubble point temperature...) b) Assuming the bubble point temperature is 71C, what is the vapor phase composition at the bubble point? c) For such a 3-phase system, sketch a representative (constant pressure) plot of temperature vs. "V/F" for V/F values ranging from 0 to 1 . Here, V is the vapor flow rate and F is the total (liquid) feed flow to the flash chamber. Indicate where there are bubble points and dew points, and where there is one vs. two liquid phases. Thermodynamic Data: Antoine Equation: log10p=AC+TBp in mm Hg.T in C