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

Formula Used:

\[ P2^{sat} = \frac{\ln(\phi_2^{sat}) \times R \times T_{VLE}}{B_{22}} \]

Saturated Pressure of Component 2 (Pa):

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1. What is Saturated Pressure of Component 2?

Definition: Saturated pressure of component 2 is the pressure at which the given component 2 liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given temperature.

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

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P2^{sat} = \frac{\ln(\phi_2^{sat}) \times R \times T_{VLE}}{B_{22}} \]

Where:

\( P2^{sat} \) — Saturated pressure of component 2 (Pascal)
\( \phi_2^{sat} \) — Saturated fugacity coefficient of component 2
\( R \) — Universal gas constant (8.314 J/mol·K)
\( T_{VLE} \) — Temperature of liquid vapour system (Kelvin)
\( B_{22} \) — Second virial coefficient 22 (m³)

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

3. Importance of Saturated Pressure Calculation

Details: Accurate calculation of saturated pressure is crucial for phase equilibrium studies, chemical process design, and thermodynamic property estimation.

4. Using the Calculator

Tips: Enter the saturated fugacity coefficient, temperature (in Kelvin), and second virial coefficient (in m³). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the second virial coefficient?
A: The second virial coefficient describes the contribution of the pair-wise potential of component 2 with itself to the pressure of the gas.

Q2: What is a typical value for the fugacity coefficient?
A: The saturated fugacity coefficient typically ranges between 0.9 and 1.2 for many substances near their normal boiling points.

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

Q4: How accurate is this calculation?
A: The accuracy depends on the quality of input data and the assumption that the virial equation is valid for the system.

Q5: Can I use this for mixtures?
A: This specific formula is for pure component 2. For mixtures, additional terms and coefficients would be needed.