VLE data for methyl tert-butyl ether(1)/dichloromethane(2) at 308.15 K are as follows:

The data are well correlated by the three-parameter Margules equation [an extension of Eq. (13.39)]:
Implied by this equation are the expressions:
(a) Basing calculations on Eq. (13.24), find the values of parameters A₁₂, A₂₁, and C that provide the best fit of G^E∕RT to the data.
(b) Prepare a plot of ln γ₁, ln γ₂, and G^E∕(x₁x₂RT ) vs. x₁ showing both the correlation and experimental values.
(c) Prepare a Pxy diagram [see Fig. 13.8(a)] that compares the experimental data with the correlation determined in (a).
(d) Prepare a consistency-test diagram like Fig. 13.9.
(e) Using Barker’s method, find the values of parameters A₁₂, A₂₁, and C that provide the best fit of the P–x₁ data. Prepare a diagram showing the residuals δP and δy₁ plotted vs. x₁.

Eq. (13.39)

(a) Eq. (13.24)

Fig. 13.8 (a)

Fig. 13.9

Transcribed Image Text:

P/kPa yi P/kPa yi 85.265 0.0000 0.0000 59.651 0.5036 0.3686 0.0330 0.0579 0.0924 83.402 0.0141 56.833 0.5749 0.4564 82.202 0.0253 53.689 0.6736 0.5882 80.481 0.0416 51.620 0.7676 0.7176 76.719 72.422 0.1665 0.0804 50.455 0.8476 0.9093 0.9529 0.8238 0.2482 0.1314 49.926 49.720 0.9002 0.9502 68.005 0.3322 0.1975 65.096 0.3880 0.2457 49.624 1.0000 1.0000 Extracted from F. A. Mato, C. Berro, and A. Péneloux, J. Chem. Eng. Data, vol. 36, pp. 259-262, 1991.