The vapor pressure of pure benzene and methyl benzene at 27 C is given as 80 Torr and 24 Torr, respectively. The mole fraction of methyl benzene in vapor phase, in equilibrium with an equimolar mixture of those two liquids (ideal solution) at the same temperature is 10-2 (nearest integer)
Answer
23
Solution
Equimolar liquid: xbenzene = xtoluene = 0.5
Raoult's law: pbenzene = 0.5 80 = 40 Torr and ptoluene = 0.5 24 = 12 Torr, so Ptotal = 52 Torr
Dalton's law: ytoluene = ptoluene Ptotal = 1252 = 0.2308 = 23.08 10-2 23 10-2
Answer: 23