Vapor-liquid equilibrium data for mixtures of water and isopropanol at 1 atm (101.3 kPa, 760 torr) are given below.

(a) Prepare T-x-y and x-y diagrams.

(b) When a solution containing 40 mol % isopropanol is slowly vaporized, what will be the composition of the initial vapor formed?

(c) If this same 4.0% mixture is heated under equilibrium conditions until 75 mol% has been vaporized, what will be the compositions of the vapor and liquid produced?

(d) Calculate K-values and values of a at 80?C and 89?C.

(e) Compare your answers in parts (a), (b), and (c) to those obtained from T-x-y and x-y diagrams based on the following vapor pressure data and Raoult's and Dalton's laws. What do you conclude about the applicability of Raoult's law to thissystem?

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VAPOR-LIQUID EQUILIBRIUM FOR ISOPROPANOL AND WATER AT 1 ATM Mol% Isopropanol т, "с Vapor Liquid 21.95 93.00 1.18 89.75 3.22 32.41 84.02 8.41 46.20 47.06 83.85 9.10 82.12 19.78 52.42 B1.64 28.68 53.44 81.25 34.96 55.16 80.62 45.25 59.26 80.32 60.30 64.22 68.21 80.16 67.94 80.21 68.10 68.26 80.28 76.93 74.21 80.66 85.67 82.70 81.51 94.42 91.60 Vapor Pressures of Isopropanol and Water Vapor pressure, torr Isopropanol, "C Water, "C 200 400 760 67.8 825 53.0 100 66.5 83