Use the vapor-liquid equilibrium data at 1.0 atm. for methanol-water (Table 2-8 in Problem 2.D1) for the following:

1. If the methanol vapor mole fraction is 0.600, what is the methanol liquid mole fraction?

2. Is there an azeotrope in the methanol-water system at a pressure of 1.0 atmospheres?

3. If water liquid mole fraction is 0.350, what is the water vapor mole fraction?

4. What are the K values of methanol and of water at a methanol mole fraction in the liquid of 0.200?

5. What is the relative volatility α_M-W at a methanol mole fraction in the liquid of 0.200?

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TABLE 2-8. Vapor-liquid equilibrium data for methanol water (p = 1 atm) (mol %) Methanol Liquid Methanol Vapor Temp., C 0 0 100 2.0 13.4 96.4 4.0 23.0 93.5 6.0 30.4 91.2 8.0 36.5 89.3 10.0 41.8 87.7 15.0 51.7 84.4 20.0 57.9 81.7 30.0 66.5 78.0 40.0 72.9 75.3 50.0 77.9 73.1 60.0 82.5 71.2 70.0 87.0 69.3 80.0 91.5 67.6 90.0 95.8 66.0 95.0 97.9 65.0 100.0 100.0 64.5