Saturated Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficient Calculator

Formula Used:

\[ \phi_1^{sat} = \exp\left(\frac{B_{11} \times P_1^{sat}}{R \times T}\right) \]

Second Virial Coefficient 11 (B₁₁):

m³

Saturated Pressure of Component 1 (P₁^sat):

Temperature (T):

Saturated Fugacity Coefficient (φ₁^sat):

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1. What is Saturated Vapour Fugacity Coefficient?

Definition: The saturated fugacity coefficient (φ₁^sat) is the ratio of the saturated fugacity of component 1 to its saturated pressure.

Purpose: It quantifies the deviation of a real gas from ideal gas behavior at saturation conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \phi_1^{sat} = \exp\left(\frac{B_{11} \times P_1^{sat}}{R \times T}\right) \]

Where:

φ₁^sat — Saturated fugacity coefficient (dimensionless)
B₁₁ — Second virial coefficient for component 1 (m³)
P₁^sat — Saturated pressure of component 1 (Pa)
R — Universal gas constant (8.314 J/mol·K)
T — Temperature (K)

Explanation: The formula accounts for non-ideal gas behavior using the second virial coefficient at the saturation pressure and temperature.

3. Importance of Fugacity Coefficient Calculation

Details: Accurate fugacity coefficients are essential for phase equilibrium calculations, chemical process design, and thermodynamic modeling.

4. Using the Calculator

Tips: Enter the second virial coefficient (B₁₁) in m³, saturated pressure in Pa, and temperature in Kelvin. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical meaning of the fugacity coefficient?
A: It represents how much a real gas deviates from ideal gas behavior (φ=1 for ideal gas).

Q2: Where can I find second virial coefficient values?
A: They are typically found in thermodynamic databases or calculated from equations of state.

Q3: What units should be used for input values?
A: B₁₁ in m³, P₁^sat in Pascals, and T in Kelvin.

Q4: When is this calculation most important?
A: For high-pressure systems or when dealing with strongly non-ideal mixtures.

Q5: What does a fugacity coefficient greater than 1 indicate?
A: It indicates positive deviation from ideal gas behavior (repulsive intermolecular forces dominate).