Activity Coefficient for Component 2 using Wilson Equation Calculator

Wilson Equation Formula:

\[ \gamma_2 = \exp\left(\ln(x_2 + x_1 \Lambda_{21}) - x_1 \left(\frac{\Lambda_{12}}{x_1 + x_2 \Lambda_{12}} - \frac{\Lambda_{21}}{x_2 + x_1 \Lambda_{21}}\right)\right) \]

Activity Coefficient of Component 2 (γ₂):

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1. What is Activity Coefficient for Component 2 using Wilson Equation?

Definition: This calculator computes the activity coefficient (γ₂) for component 2 in a binary mixture using the Wilson equation, which accounts for non-ideal behavior in liquid mixtures.

Purpose: It helps chemical engineers and researchers predict the thermodynamic properties of non-ideal liquid mixtures.

2. How Does the Calculator Work?

The calculator uses the Wilson equation:

\[ \gamma_2 = \exp\left(\ln(x_2 + x_1 \Lambda_{21}) - x_1 \left(\frac{\Lambda_{12}}{x_1 + x_2 \Lambda_{12}} - \frac{\Lambda_{21}}{x_2 + x_1 \Lambda_{21}}\right)\right) \]

Where:

\( \gamma_2 \) — Activity coefficient of component 2
\( x_1 \) — Mole fraction of component 1 in liquid phase
\( x_2 \) — Mole fraction of component 2 in liquid phase
\( \Lambda_{12} \) — Wilson equation coefficient for component 1
\( \Lambda_{21} \) — Wilson equation coefficient for component 2

Explanation: The equation accounts for molecular interactions between different components in the mixture.

3. Importance of Activity Coefficient Calculation

Details: Activity coefficients are crucial for accurate phase equilibrium calculations, distillation design, and chemical process simulations.

4. Using the Calculator

Tips: Enter mole fractions (must sum to 1) and Wilson coefficients (typically determined experimentally or from correlations). Default values are provided as examples.

5. Frequently Asked Questions (FAQ)

Q1: What do activity coefficients represent?
A: They quantify deviations from ideal solution behavior, where γ=1 for ideal solutions.

Q2: How are Wilson coefficients determined?
A: Typically from vapor-liquid equilibrium data or group contribution methods.

Q3: Can this be used for multicomponent systems?
A: The Wilson equation can be extended, but this calculator is for binary systems.

Q4: What's the range of typical activity coefficients?
A: Usually between 0.1 and 10, depending on system non-ideality.

Q5: When is the Wilson equation most appropriate?
A: For mixtures of polar or non-polar compounds that exhibit moderate non-ideality.