A binary mixture of mole fraction z1 is flashed to conditions T and P. For the following, determine the equilibrium mole fractions x1 and y1 of the liquid and vapor phases formed, the molar fraction V of the vapor formed, and the fractional recovery R of species 1 in the vapor phase (defined as the ratio for species 1 of moles in the vapor to moles in the feed). Assume that Raoult’s law applies. Ethanol(1)/1-propanol(2), z1 = 0.25, T = 360.00 K, and P = 81.06 kPa

To save energy, the air supply to a 2000 ft office has been shut off overnight and the room temperature has dropped to 40°f. in the morning, the thermostat is reset to 70°f and warm air at 120 f begins to flov in at 200ft'/min. the air is well mixed within the room, and an equal mass flow of air at room temperature (changing with time) is withdrawn through a return duct. the air pressure is nearly 1 atm everywhere. ignoring heat transfer with the surroundings and kinetic and potential energy effects, estimate how long it takes for the room temperature to reach 70°f. plot the room temperature as a function of time.