Homework Answers
(a) Assuming the solution is ideal, Raoult's law can be applied. Vapor pressure of a component in a solution in given by Raoult's Law
Pi = xi.P*
Pi = Partial pressure of component i in the mixture, xi = mole fraction of component i and P* = Vapour Pressure of pure component i.
Total vapour pressure of the solution is the sum of partial pressure of all the components in the solution.
Ptotal = Pbenzene + Ptoulene
Ptotal = xbenzene.P*benzene + xtoulene.P*toulene
(xbenzene = 1 - 0.6 = 0.4)
Ptotal = 0.4 x 0.136 + 0.6 x 0.0422 = 0.0544 +
0.02532 = 0.0797 atm 0.08
atm.
(b) Mole fraction of toulene in vapour phase = Vapour pressure of component / total vapour pressure
= 0.02532 / 0.0797 = 0.3176
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