The following is a set of VLE data for the system acetone(1)/methanol(2) at 55°C:

(a) Basing calculations on Eq. (13.24), find parameter values for the Margules equation that provide the best fit of G^E∕RT to the data, and prepare a Pxy 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 provide the best fit of the P–x₁ data. Prepare a diagram showing the residuals δP and δy₁ plotted vs. x₁.
(e) Repeat (d) for the van Laar equation.
(f) Repeat (d) for the Wilson equation.

Eq (13.24)

Transcribed Image Text:

P/kPa yi P/kPa X1 yi 68.728 0.0000 0.0000 97.646 98.462 0.5052 0.5844 72.278 0.0287 0.0647 0.5432 0.6174 75.279 0.0570 0.1295 99.811 99.950 0.6332 0.6605 0.6945 0.6772 77.524 0.0858 0.1848 0.6926 0.7124 78.951 0.1046 0.2190 100.278 82.528 0.1452 0.2694 100.467 0.7327 0.7383 0.2173 86.762 90.088 0.3633 100.999 101.059 0.7752 0.7729 0.2787 0.4184 0.7922 0.7876 0.8959 93.206 95.017 96.365 0.3579 0.4050 0.4779 99.877 99.799 96.885 0.9080 0.9448 0.5135 0.9336 0.4480 0.5512 1.0000 1.0000