A liquid mixture is composed of 40 mol% W and 60 mol% Z. Find the bubble point pressure of this mixture at T=50 ?C, and determine the mole fraction of W in the first bubble of vapor.
This problem concerns mixtures of two compounds, W and Z. At T=50 ?C, the vapor pressures are PWsat = 0.6 bar and PZsat = 1.0 bar. Mixtures of the two compounds at this temperature can be modeled using the one-parameter Margules equation, with A = -1.5.
For the one parameter Margules model:
Using the relationship for each component:
Which results in two equations with two unknowns:
Therefore:
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