Generate P-x₁-y₁ diagrams at 100°C for one of the systems identified below. Base activity coefficients on the Wilson equation, Eqs. (13.45) to (13.47). Use two procedures: (i) modified Raoult’s law, Eq. (13.19), and (ii) the gamma/phi approach, Eq. (13.13), with Φ_i given by Eq. (13.14). Plot the results for both procedures on the same graph. Compare and discuss them.
Data sources: For P^sat_i use Table B.2. For vapor-phase nonidealities, use material from Chap. 3; assume that the vapor phase is an (approximately) ideal solution. Estimated parameters for the Wilson equation are given for each system.
(a) Benzene(1)/carbon tetrachloride(2): Λ₁₂ = 1.0372, Λ₂₁ = 0.8637
(b) Benzene(1)/cyclohexane(2): Λ₁₂ = 1.0773, Λ₂₁ = 0.7100
(c) Benzene(1)/n-heptane(2): Λ₁₂ = 1.2908, Λ₂₁ = 0.5011
(d) Benzene(1)/n-hexane(2): Λ₁₂ = 1.3684, Λ₂₁ = 0.4530
(e) Carbon tetrachloride(1)/cyclohexane(2): Λ₁₂ = 1.1619, Λ₂₁ = 0.7757
(f) Carbon tetrachloride(1)/n-heptane(2): Λ₁₂ = 1.5410, Λ₂₁ = 0.5197
(g) Carbon tetrachloride(1)/n-hexane(2): Λ₁₂ = 1.2839, Λ₂₁ = 0.6011
(h) Cyclohexane(1)/n-heptane(2): Λ₁₂ = 1.2996, Λ₂₁ = 0.7046
(i) Cyclohexane(1)/n-hexane(2): Λ₁₂ = 1.4187, Λ₂₁ = 0.5901

Eq (13.45)

Eq (13.47)

(i) Eq (13.19)

(ii) Eq (13.13)

(ii) Eq (13.14)

Table B.2

Transcribed Image Text:

GE = -x1 In(x1 + x2A12) – x2 In(x2 +x1 A21) RT (13.45)