A-B homogeneous binary liquid mixture, which contains 60% A component as mole percent and obeys Raoult's law, is subjected to a preheating without allowing evaporation and then sent to the flash distillation column at 1000 Pa pressure by reducing the pressure. Since 50% of the mixture entering the column has evaporated, find the vapor and liquid phase compositions and the operating temperature in the column. The boiling temperatures of components A and B at 1000 Pa pressure are 439 K and 459 K, respectively. The vapor pressures of these components are also given by the following equations.

n PA0=20.84T2210T21715400 lnPB0=19.94T1467T22072300