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

Saturated Pressure Formula:

\[ P1^{sat} = \frac{\ln(\phi_1^{sat}) \times R \times T_{VLE}}{B_{11}} \]

Saturated Pressure of Component 1 (Pa):

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1. What is Saturated Pressure of Component 1?

Definition: Saturated pressure of component 1 is the pressure at which the given component 1 liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given temperature.

Purpose: This calculator determines the saturated pressure using the second virial coefficient and saturated fugacity coefficient.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P1^{sat} = \frac{\ln(\phi_1^{sat}) \times R \times T_{VLE}}{B_{11}} \]

Where:

\( P1^{sat} \) — Saturated pressure of component 1 (Pa)
\( \phi_1^{sat} \) — Saturated fugacity coefficient of component 1
\( R \) — Universal gas constant (8.314 J/mol·K)
\( T_{VLE} \) — Temperature of liquid vapour system (K)
\( B_{11} \) — Second virial coefficient 11 (m³)

Explanation: The natural log of the fugacity coefficient is multiplied by the gas constant and temperature, then divided by the second virial coefficient.

3. Importance of Saturated Pressure Calculation

Details: Accurate saturated pressure calculations are crucial for phase equilibrium studies, chemical process design, and vapor-liquid equilibrium calculations.

4. Using the Calculator

Tips: Enter the saturated fugacity coefficient (unitless), system temperature in Kelvin, and second virial coefficient in cubic meters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the second virial coefficient?
A: It describes the contribution of the pair-wise potential of component 1 with itself to the pressure of the gas.

Q2: What's a typical value for the fugacity coefficient?
A: For most systems near atmospheric pressure, it's close to 1, but can vary significantly at higher pressures.

Q3: What temperature range is this valid for?
A: The formula is valid for temperatures where the virial equation is applicable, typically not too close to the critical point.

Q4: How accurate is this calculation?
A: Accuracy depends on the quality of input parameters and the applicability of the virial equation to your system.

Q5: Can I use this for mixtures?
A: This specific formula is for pure components. Mixtures require additional terms for cross coefficients.