Following are VLE data for the system acetonitrile(1)/benzene(2) at 45°C:

The data are well correlated by the three-parameter Margules equation (see Prob. 13.37).
(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∕x₁x₂ RT 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.

Prob. 13.37

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 X1 P/kPa yi 36.978 36.778 35.792 0.5458 29.819 31.957 0.5098 0.5375 0.0000 0.0000 0.0455 0.0940 0.1056 0.1818 0.5946 33.553 0.7206 0.6157 35.285 0.1829 0.2783 34.372 0.8145 0.6913 36.457 36.996 0.2909 0.3980 0.3607 32.331 0.8972 0.9573 0.7869 0.8916 0.4274 30.038 37.068 0.5069 0.4885 27.778 1.0000 1.0000 Extracted from I. Brown and F. Smith, Austral. J. Chem., vol. 8, p. 62, 1955.