Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients Calculator

Fugacity Coefficient Formula:

\[ \phi_2 = \exp\left(\frac{B_{22}(P_{VLE}-P_2^{sat}) + P_{VLE}y_1^2(2B_{12}-B_{11}-B_{22})}{RT_{VLE}}\right) \]

Second Virial Coefficient B22 (m³):

System Pressure (Pa):

Saturated Pressure of Component 2 (Pa):

Mole Fraction of Component 1 in Vapor Phase:

Second Virial Coefficient B12 (m³):

Second Virial Coefficient B11 (m³):

System Temperature (K):

Fugacity Coefficient of Component 2 (φ₂):

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1. What is the Fugacity Coefficient of Component 2?

Definition: The fugacity coefficient measures how much a real gas deviates from ideal gas behavior for component 2 in a mixture.

Purpose: It's essential for accurate thermodynamic calculations in chemical engineering, particularly for vapor-liquid equilibrium systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \phi_2 = \exp\left(\frac{B_{22}(P_{VLE}-P_2^{sat}) + P_{VLE}y_1^2(2B_{12}-B_{11}-B_{22})}{RT_{VLE}}\right) \]

Where:

\( \phi_2 \) — Fugacity coefficient of component 2
\( B_{22} \) — Second virial coefficient for component 2 (m³)
\( P_{VLE} \) — System pressure (Pa)
\( P_2^{sat} \) — Saturated pressure of component 2 (Pa)
\( y_1 \) — Mole fraction of component 1 in vapor phase
\( B_{12} \) — Cross second virial coefficient (m³)
\( B_{11} \) — Second virial coefficient for component 1 (m³)
\( T_{VLE} \) — System temperature (K)
\( R \) — Universal gas constant (8.314 J/mol·K)

3. Importance of Fugacity Coefficient Calculation

Details: Accurate fugacity coefficients are crucial for predicting phase equilibria, designing separation processes, and modeling chemical reactions in non-ideal systems.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. The calculator provides default values based on typical conditions.

5. Frequently Asked Questions (FAQ)

Q1: What does a fugacity coefficient of 1 mean?
A: A value of 1 indicates ideal gas behavior. Values >1 indicate positive deviation from ideality, while values <1 indicate negative deviation.

Q2: How do I obtain the virial coefficients?
A: Virial coefficients are typically determined experimentally or estimated from molecular theory and correlations.

Q3: What's the range of valid mole fractions?
A: Mole fractions must be between 0 and 1, with y₁ + y₂ = 1 for a binary system.

Q4: Can I use this for multicomponent systems?
A: This calculator is designed for binary systems. Multicomponent systems require additional terms in the equation.

Q5: Why is temperature in Kelvin?
A: Thermodynamic calculations require absolute temperature. 0 K is absolute zero, the theoretically lowest possible temperature.