Saturated Fugacity Coeff. using Poynting Factor Correlation and Fugacity of Liq. Phase Species Calculator

Saturated Fugacity Coefficient Formula:

\[ \phi^{sat} = \frac{f^{L}}{P^{sat} \times \exp\left(\frac{-V^{L}(P-P^{sat})}{RT}\right)} \]

Fugacity of Liquid Phase Species (f^L):

Saturated Pressure (P^sat):

Volume of Liquid Phase (V^L):

m³

System Pressure (P):

Temperature (T):

Saturated Fugacity Coefficient (φ^sat):

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1. What is Saturated Fugacity Coefficient?

Definition: The saturated fugacity coefficient (φ^sat) is a dimensionless quantity that relates the fugacity of a species in its liquid phase to its saturated pressure, accounting for non-ideal behavior.

Purpose: It's used in thermodynamics and chemical engineering to calculate the fugacity of pure liquids and their mixtures at saturation conditions.

2. How Does the Calculator Work?

The calculator uses the Poynting factor correlation formula:

\[ \phi^{sat} = \frac{f^{L}}{P^{sat} \times \exp\left(\frac{-V^{L}(P-P^{sat})}{RT}\right)} \]

Where:

φ^sat — Saturated fugacity coefficient (dimensionless)
f^L — Fugacity of liquid phase species (Pa)
P^sat — Saturated pressure (Pa)
V^L — Volume of liquid phase (m³)
P — System pressure (Pa)
T — Temperature (K)
R — Universal gas constant (8.314 J/mol·K)

Explanation: The formula accounts for the effect of pressure on the fugacity of liquids through the Poynting correction factor.

3. Importance of Saturated Fugacity Coefficient

Details: This coefficient is crucial for accurate phase equilibrium calculations, especially in high-pressure systems where non-ideal behavior becomes significant.

4. Using the Calculator

Tips: Enter all required values in consistent units (Pa for pressures, m³ for volume, K for temperature). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of the Poynting factor?
A: The Poynting factor accounts for the effect of pressure on the fugacity of liquids, correcting for deviations from ideal behavior at high pressures.

Q2: When is this calculation most important?
A: It's particularly important for high-pressure systems or when precise fugacity calculations are needed for phase equilibrium.

Q3: What's a typical range for φ^sat?
A: For most systems near atmospheric pressure, φ^sat is close to 1, but it can deviate significantly at high pressures.

Q4: How do I determine the liquid phase fugacity (f^L)?
A: f^L can be estimated from vapor pressure data or calculated using equations of state.

Q5: What if my system pressure equals the saturated pressure?
A: When P = P^sat, the Poynting factor becomes 1, simplifying the calculation to φ^sat = f^L/P^sat.