1. P6.71 A methanol-water feed stream is introduced to a vaporizer in which a molar fraction f of the feed is vaporized. The feed has a methanol mole fraction of xf=0.4, and the vaporizer operates at a pressure of 1atm absolute and 80C. Vapor and liquid leaving the device are in equilibrium at the temperature and pressure of the system and have methanol mole fractions of y and x, respectively. (25 pts) A Txy diagram for methanol-water mixtures at 1atm absolute is shown below. The feed to the vaporizer and the liquid and vapor product streams are shown as points B, A, and C, respectively. a) Prove that the ratio of vapor to liquid fed can be determined from the equation: molesofliquidfedmolesofvapor=yxFxFx Use this result to determine ratio (moles vapor/moles liquid) for the specific conditions cited above (xf=0.4,T=80C). b) Use the Txy diagram to estimate the minimum and maximum temperatures at which the given feed stream could be separated into vapor and liquid fractions at 1atm. In each case, what fraction of the feed would be vaporized? c) The vapor at C is sent to a condenser operated at constant pressure ( 1atm ). The liquid and vapor product streams leaving the condenser are in equilibrium and in a ratio of 1mol vapor /1mol liquid. Estimate the temperature and compositions of the two streams leaving the condenser