Saturated Pressure using Gamma-Phi Formulation of VLE Calculator

Formula Used:

\[ P_{sat} = \frac{y_{Gas} \times \phi \times P_T}{x_{Liquid} \times \gamma} \]

Mole Fraction in Vapor Phase (yGas):

Fugacity Coefficient (φ):

Total Pressure (PT):

Mole Fraction in Liquid Phase (xLiquid):

Activity Coefficient (γ):

Saturated Pressure (Psat):

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1. What is Saturated Pressure using Gamma-Phi Formulation?

Definition: This calculator determines the saturated pressure of a component in vapor-liquid equilibrium (VLE) using the Gamma-Phi formulation.

Purpose: It's essential for chemical engineers and researchers working with phase equilibrium calculations in thermodynamics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_{sat} = \frac{y_{Gas} \times \phi \times P_T}{x_{Liquid} \times \gamma} \]

Where:

\( P_{sat} \) — Saturated pressure (Pa)
\( y_{Gas} \) — Mole fraction in vapor phase
\( \phi \) — Fugacity coefficient
\( P_T \) — Total pressure (Pa)
\( x_{Liquid} \) — Mole fraction in liquid phase
\( \gamma \) — Activity coefficient

Explanation: The formula relates the saturated pressure to the composition of both phases and their respective non-idealities.

3. Importance of Saturated Pressure Calculation

Details: Accurate saturated pressure calculations are crucial for designing distillation columns, flash drums, and other separation processes.

4. Using the Calculator

Tips: Enter all required parameters. Mole fractions should be between 0 and 1. All other values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the Gamma-Phi formulation?
A: It's an approach to VLE calculations that uses activity coefficients (γ) for liquid phase non-ideality and fugacity coefficients (φ) for vapor phase non-ideality.

Q2: When is this formulation most appropriate?
A: For systems where the liquid phase significantly deviates from ideal behavior, but the vapor phase is at low to moderate pressures.

Q3: What are typical values for the fugacity coefficient?
A: For ideal gases, φ = 1. For real gases, it typically ranges between 0.8 and 1.2 at moderate pressures.

Q4: How do I determine the activity coefficient?
A: Activity coefficients can be obtained from experimental data or estimated using models like Wilson, NRTL, or UNIQUAC.

Q5: What units should be used for pressure?
A: The calculator uses Pascals (Pa), but you can convert from other units (1 bar = 100,000 Pa, 1 atm = 101,325 Pa).