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

Formula Used:

\[ \phi_2^{sat} = \exp\left(\frac{B_{22} \times P_2^{sat}}{R \times T}\right) \]

Second Virial Coefficient 22 (B₂₂):

m³

Saturated Pressure of Component 2 (P₂^sat):

Temperature (T):

Saturated Fugacity Coefficient (φ₂^sat):

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1. What is Saturated Vapour Fugacity Coefficient?

Definition: The Saturated Fugacity Coefficient of Component 2 is the ratio of the saturated fugacity of component 2 to the saturated pressure of component 2.

Purpose: This calculator determines the fugacity coefficient which accounts for non-ideal behavior of gases at saturation conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \phi_2^{sat} = \exp\left(\frac{B_{22} \times P_2^{sat}}{R \times T}\right) \]

Where:

\( \phi_2^{sat} \) — Saturated fugacity coefficient of component 2 (dimensionless)
\( B_{22} \) — Second virial coefficient of component 2 (m³)
\( P_2^{sat} \) — Saturated pressure of component 2 (Pa)
\( R \) — Universal gas constant (8.314 J/(mol·K))
\( T \) — Temperature (K)

Explanation: The formula accounts for deviations from ideal gas behavior using the second virial coefficient.

3. Importance of Fugacity Coefficient Calculation

Details: Accurate fugacity coefficients are essential for phase equilibrium calculations in chemical engineering, particularly for vapor-liquid equilibrium systems.

4. Using the Calculator

Tips: Enter the second virial coefficient (B₂₂) in m³, saturated pressure in Pascals, 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 measures how much a real gas deviates from ideal gas behavior, where φ=1 indicates ideal behavior.

Q2: Where can I find second virial coefficient values?
A: Second virial coefficients are typically found in chemical engineering handbooks or through experimental data.

Q3: What temperature range is this formula valid for?
A: This formula is generally valid for temperatures above the critical temperature of the component.

Q4: Why is the universal gas constant used here?
A: The universal gas constant provides consistent units when working in SI units (m³, Pa, K).

Q5: How does pressure affect the fugacity coefficient?
A: Generally, as pressure increases, the fugacity coefficient deviates more from 1 (more non-ideal behavior).