Pressure using Gibbs Free Energy, Ideal Gibbs Free Energy and Fugacity Calculator

Pressure Formula:

\[ P = \frac{f}{\exp\left(\frac{G - G^{ig}}{R \times T}\right)} \]

Fugacity (f):

Gibbs Free Energy (G):

Ideal Gas Gibbs Free Energy (G^ig):

Temperature (T):

Pressure (P):

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1. What is Pressure using Gibbs Free Energy, Ideal Gibbs Free Energy and Fugacity?

Definition: This calculator determines the pressure of a real gas using fugacity and the difference between Gibbs free energy and ideal gas Gibbs free energy.

Purpose: It helps in thermodynamic calculations where real gas behavior deviates from ideal gas assumptions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = \frac{f}{\exp\left(\frac{G - G^{ig}}{R \times T}\right)} \]

Where:

\( P \) — Pressure (Pascal)
\( f \) — Fugacity (Pascal)
\( G \) — Gibbs Free Energy (Joule)
\( G^{ig} \) — Ideal Gas Gibbs Free Energy (Joule)
\( R \) — Universal gas constant (8.314 J/mol·K)
\( T \) — Temperature (Kelvin)

Explanation: The formula relates the measurable pressure to fugacity and the difference between real and ideal Gibbs free energies.

3. Importance of This Calculation

Details: This calculation is crucial in chemical engineering and thermodynamics for understanding real gas behavior and phase equilibria.

4. Using the Calculator

Tips: Enter the fugacity, Gibbs free energy, ideal gas Gibbs free energy, and temperature. Temperature must be > 0K.

5. Frequently Asked Questions (FAQ)

Q1: What is fugacity?
A: Fugacity is a thermodynamic property that measures the "escaping tendency" of a substance from a phase, effectively a corrected pressure for real gases.

Q2: Why do we need both G and G^ig?
A: The difference (G - G^ig) accounts for the non-ideal behavior of the real gas compared to an ideal gas.

Q3: What units should be used?
A: All energy values should be in Joules, temperature in Kelvin, and fugacity in Pascals for consistent results.

Q4: When is this calculation most useful?
A: Particularly important for high-pressure systems where gases deviate significantly from ideal behavior.

Q5: Can this be used for liquids?
A: The same principles apply, but additional considerations are needed for liquid-phase fugacity calculations.