Activity Coefficient for Component 2 for Infinite Dilution using Wilson Equation Calculator

Formula Used:

\[ \gamma_2^\infty = \exp(\ln(\Lambda_{21}) + 1 - \Lambda_{12}) \]

Activity Coefficient 2 for Infinite Dilution (γ₂^∞):

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1. What is Activity Coefficient for Infinite Dilution?

Definition: The activity coefficient for infinite dilution (γ^∞) measures how much a component deviates from ideal behavior when it's infinitely diluted in a solvent.

Purpose: It's crucial for understanding non-ideal solution behavior in chemical engineering, particularly in vapor-liquid equilibrium calculations.

2. How Does the Wilson Equation Calculator Work?

The calculator uses the Wilson equation for infinite dilution:

\[ \gamma_2^\infty = \exp(\ln(\Lambda_{21}) + 1 - \Lambda_{12}) \]

Where:

\( \gamma_2^\infty \) — Activity coefficient for component 2 at infinite dilution
\( \Lambda_{21} \) — Wilson equation coefficient for component 2 in the binary system
\( \Lambda_{12} \) — Wilson equation coefficient for component 1 in the binary system

Explanation: The formula calculates how component 2 behaves when it's present in very small quantities in component 1.

3. Importance of Activity Coefficient Calculation

Details: Accurate activity coefficients are essential for designing separation processes like distillation, extraction, and absorption.

4. Using the Calculator

Tips: Enter the Wilson coefficients Λ₂₁ (default 0.55) and Λ₁₂ (default 0.5). Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What do the Wilson coefficients represent?
A: They represent binary interaction parameters that account for molecular size differences and interaction energies between components.

Q2: How are the Wilson coefficients determined?
A: They're typically obtained by fitting experimental vapor-liquid equilibrium data to the Wilson equation.

Q3: What does an activity coefficient > 1 indicate?
A: Positive deviation from Raoult's Law, meaning the component is less "soluble" than in an ideal solution.

Q4: What does an activity coefficient < 1 indicate?
A: Negative deviation from Raoult's Law, meaning stronger intermolecular forces than in an ideal solution.

Q5: Can this be used for multicomponent systems?
A: The Wilson equation can be extended to multicomponent systems, but this calculator only handles binary systems.