Pertanyaan

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.

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Jawaban

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:**Pi = xi γi Pisatwhere:* Pi is the partial pressure of component i* xi is the mole fraction of component i in the liquid phase* γi is the activity coefficient of component i (calculated using the Wilson equation)* Pisat 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):** Ptotal = P1 + P24. **Calculate vapor composition:** y1 = P1/Ptotal; y2 = P2/Ptotal**(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):** Ptotal = P1 + P25. **Calculate vapor composition:** y1 = P1/Ptotal; y2 = P2/Ptotal6. **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.