You are interested in evaluating how well you can predict the phase-behavior of a system using an excess molar Gibbs free energy model. Here, use the van Laar predictions (from the VDW-defined parameters) relative to fitting the data (in Table P11-23) with the van Laar model for the methanol (1) + water (2) system at 328.15 K. What is your conclusion based on these results?

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TABLE P11-23 Vapor-liquid equilibrium of methanol (1) + water (2) at 328.15 K. P[kPa] 30.710 33.368 39.038 40.215 40.835 42.143 42.760 44.237 45.184 46.743 48.181 50.500 51.100 51.974 52.227 52.664 54.245 54.956 55.980 59.208 0.1587 0.1980 0.2961 0.3171 0.3339 0.3610 0.3733 0.4137 0.4346 0.4753 0.5078 0.5669 0.5897 0.6030 0.6091 0.6217 0.6600 0.6781 0.7032 0.7808 y₁ 0.5660 0.6154 0.7019 0.7182 0.7280 0.7432 0.7504 0.7693 0.7799 0.7947 0.8079 0.8315 0.8401 0.8495 0.8502 0.8557 0.8709 0.8770 0.8866 0.9183