12.3. The following is a set of VLE data for the system acetone(1)/methanol(2) at 55C (extracted from D. C. Freshwater and K. A. Pike, J. Chem. Eng. Data, vol. 12, pp. 179 183, 1967): P/kPa x yi 68.728 0.0000 0.0000 72.278 0.0287 0.0647 75.279 0.0570 0.1295 77.524 0.0858 0.1848 78.951 0.1046 0.2190 82.528 0.1452 0.2694 86.762 0.2173 0.3633 90.088 0.2787 0.4184 93.206 0.35790.4779 95.017 0.4050 0.5135 96.365 0.4480 0.5512 /kPa X1 yi 97.646 0.5052 0.5844 98.462 0.5432 0.6174 99.811 0.6332 0.6772 99.950 0.6605 0.6926 100.278 0.6945 0.7124 100.467 0.7327 0.7383 100.999 0.7752 0.7729 101.059 0.7922 0.7876 99.877 0.9080 0.8959 99.799 0.9448 0.9336 96.885 1.0000 1.0000 (a) Basing calculations on Eq. (12.1), find parameter values for the Margules equation that provide the best fit of G/RT to the data, and prepare a P-x-y diagram that compares the experimental points with curves determined from the correlation. (b) Repeat (a) for the van Laar equation. (c) Repeat (a) for the Wilson equation. (d) Using Barker's method, find parameter values for the Margules equation that pro- vide the best fit of the P-x, data. Prepare a diagram showing the residuals 8 P and 8y plotted vs. xi. (e) Repeat (d) for the van Laar equation. Repeat (d) for the Wilson equation