Parameter Margules untuk campuran aseton(1 )/isopropanol(2) pada temperature 298 K adalah sebagai berikut: Ln Y_(1)=0,5x_(1)x_(2)^2 Ln Y_(2)=0,5x_(2)x_(1)^2 perhitungan berikut penggunakan model Wilson untuk Persamaan Raoult Termodifikas i(Modified Raoull), lakukan a. Pada temperatur 298 K dan komposisi fasa cair x_(1)=0,4 tentukan tekanan gelembung dan komposisi fasa uapnya. b. Pada temperatur 298 K dan komposisi fasa uap y_(1)=0,4 tentukan tekanan embun dan komposisi fasa cairnya.

The provided Margules parameters describe the activity coefficients of acetone (1) and isopropanol (2) in their liquid mixture. However, the question asks to use the Wilson model with the modified Raoult's law. These are two different activity coefficient models. We cannot directly use the given Margules parameters with the Wilson model. To solve this problem, we need either:

1. Margules parameters for the Wilson model: The Wilson equation requires different parameters (λ₁₂ and λ₂₁) than the Margules equation. These parameters would need to be provided to proceed.

2. Experimental data: Alternatively, we could use experimental vapor-liquid equilibrium (VLE) data for the acetone/isopropanol system at 298 K to regress the Wilson parameters.

Without the correct parameters or experimental data, we cannot solve parts (a) and (b).

Here's how we would approach the problem *if* we had the correct Wilson parameters (λ₁₂ and λ₂₁):

Modified Raoult's Law:

P_i = x_i γ_i P_i^sat

where:

* P_i is the partial pressure of component i
* x_i is the mole fraction of component i in the liquid phase
* γ_i is the activity coefficient of component i (calculated using the Wilson equation)
* P_i^sat is the saturation pressure of pure component i at the given temperature

Wilson Equation:

ln γ₁ = -ln(x₁ + Λ₁₂x₂) + x₂[(Λ₁₂/(x₁ + Λ₁₂x₂)) - (Λ₂₁/(Λ₂₁x₁ + x₂))]

ln γ₂ = -ln(x₂ + Λ₂₁x₁) + x₁[(Λ₂₁/(Λ₂₁x₁ + x₂)) - (Λ₁₂/(x₁ + Λ₁₂x₂))]

where:

* Λ₁₂ = V₂/V₁ * exp(-λ₁₂/RT)
* Λ₂₁ = V₁/V₂ * exp(-λ₂₁/RT)
* V₁ and V₂ are the molar volumes of components 1 and 2
* λ₁₂ and λ₂₁ are the Wilson parameters (which are missing)
* R is the ideal gas constant
* T is the temperature


Solution Procedure (if Wilson parameters were available):

(a) Bubble Pressure and Vapor Composition (x₁ = 0.4):

1. Calculate activity coefficients: Use the Wilson equation with x₁ = 0.4 and the given Wilson parameters to calculate γ₁ and γ₂.
2. Calculate partial pressures: Use the modified Raoult's law to calculate P₁ and P₂. You'll need the saturation pressures of pure acetone and isopropanol at 298 K (obtain these from a thermodynamic database).
3. Calculate total pressure (bubble pressure): P_total = P₁ + P₂
4. Calculate vapor composition: y₁ = P₁/P_total; y₂ = P₂/P_total

(b) Dew Pressure and Liquid Composition (y₁ = 0.4):

This requires an iterative solution because we have the vapor composition but need to find the liquid composition.

1. Assume a liquid composition (x₁): Start with an initial guess for x₁.
2. Calculate activity coefficients: Use the Wilson equation to calculate γ₁ and γ₂.
3. Calculate partial pressures: Use the modified Raoult's law to calculate P₁ and P₂.
4. Calculate total pressure (dew pressure): P_total = P₁ + P₂
5. Calculate vapor composition: y₁ = P₁/P_total; y₂ = P₂/P_total
6. Check for convergence: Compare the calculated y₁ with the given y₁ = 0.4. If they don't match, adjust the initial guess for x₁ and repeat steps 2-6 until convergence is achieved.


In summary, the problem cannot be solved without the correct Wilson parameters or experimental VLE data to determine them. The provided Margules parameters are irrelevant to the Wilson model.