Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient Calculator

Temperature Formula:

\[ T = \text{modulus}\left(\frac{G - G^{ig}}{R \cdot \ln(\phi)}\right) \]

Temperature (K):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient?

Definition: This calculator determines the temperature of a system based on the difference between actual and ideal Gibbs free energies and the fugacity coefficient.

Purpose: It helps in thermodynamic analysis of real gases and non-ideal systems where fugacity coefficients are important.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T = \text{modulus}\left(\frac{G - G^{ig}}{R \cdot \ln(\phi)}\right) \]

Where:

\( T \) — Temperature (Kelvin)
\( G \) — Actual Gibbs Free Energy (Joules)
\( G^{ig} \) — Ideal Gas Gibbs Free Energy (Joules)
\( R \) — Universal gas constant (8.314 J/mol·K)
\( \phi \) — Fugacity coefficient (dimensionless, 0 < φ < 1)

Explanation: The difference between actual and ideal Gibbs energies is divided by the product of gas constant and natural log of fugacity coefficient.

3. Importance of This Calculation

Details: This calculation is crucial for understanding deviations from ideal gas behavior and for accurate thermodynamic modeling of real systems.

4. Using the Calculator

Tips: Enter Gibbs free energy values in Joules and a fugacity coefficient between 0 and 1 (exclusive). The calculator will determine the system temperature.

5. Frequently Asked Questions (FAQ)

Q1: What is fugacity coefficient?
A: Fugacity coefficient (φ) measures how much a real gas deviates from ideal gas behavior, where φ = 1 for ideal gases.

Q2: Why use modulus in the formula?
A: The modulus ensures the temperature is always positive, as it's an absolute measurement.

Q3: What are typical values for fugacity coefficient?
A: For real gases, φ typically ranges between 0 and 1, with values closer to 1 at low pressures/high temperatures.

Q4: How do I obtain Gibbs free energy values?
A: Gibbs free energy can be calculated from thermodynamic tables or measured experimentally.

Q5: What units does this calculator use?
A: All energy values should be in Joules, and temperature results are in Kelvin.