Ok thanks guys, I worked a couple of those out. I know you can use the tables, but I am doing this more to see if I can do it algebraically, just for fun.
Heres a good one,
If you have known mol fractions, can you calculate the bp of the liquid?
Xtoluene=0.3
XCyclohexane=0.7
Raoult's Law
Ptotal= Pcyclohexane+Ptoluene
Ptotal= (0.7)(P°)+(0.3)(P°)
it looks like the temperature pressure curves are expressible as quadratic equations.
lets say for the questions sake
toluene: Y1= X2+2X
Cycolhexane: Y2=2X2+3X
so if Y1+Y2=760 then
(0.7)(2X2+3X)+(0.3)(X2+2X)=760
I just made up these equations for the pressure temperature relationship, so I have no way of verifying if this is the correct way to attack this problem.