Fugacity Coefficient of Component using K-Value Expression for Gamma-Phi Formulation Calculator

Fugacity Coefficient Formula:

\[ \phi_{Raoults} = \frac{\gamma_{Raoults} \times P^{sat}}{K \times P_T} \]

Activity Coefficient (γ):

Saturated Pressure (P^sat):

K Value:

Total Pressure (P_T):

Fugacity Coefficient (φ):

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1. What is Fugacity Coefficient in Gamma-Phi Formulation?

Definition: The fugacity coefficient is a measure of deviation from ideal gas behavior for a component in a mixture.

Purpose: It's used in vapor-liquid equilibrium calculations to account for non-idealities in the vapor phase.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \phi_{Raoults} = \frac{\gamma_{Raoults} \times P^{sat}}{K \times P_T} \]

Where:

\( \phi_{Raoults} \) — Fugacity coefficient
\( \gamma_{Raoults} \) — Activity coefficient
\( P^{sat} \) — Saturated pressure (Pa)
\( K \) — K-value (vapor-liquid equilibrium ratio)
\( P_T \) — Total system pressure (Pa)

Explanation: The formula relates the fugacity coefficient to the activity coefficient, saturation pressure, K-value, and total pressure.

3. Importance of Fugacity Coefficient

Details: Accurate fugacity coefficients are essential for proper phase equilibrium calculations in chemical engineering processes like distillation and absorption.

4. Using the Calculator

Tips: Enter the activity coefficient, saturated pressure, K-value, and total pressure. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the range for fugacity coefficient?
A: Typically between 0 and 1, but can exceed 1 for highly non-ideal systems.

Q2: How is the K-value determined?
A: K-values are often obtained from experimental data or thermodynamic models.

Q3: When does the fugacity coefficient equal 1?
A: For an ideal gas mixture, the fugacity coefficient equals 1.

Q4: What affects the activity coefficient?
A: Molecular interactions, temperature, pressure, and composition affect γ.

Q5: Why use this formulation?
A: The Gamma-Phi formulation combines liquid-phase non-idealities (γ) with vapor-phase non-idealities (φ).