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Gibbs Free Energy & Spontaneity Calculator

Proposed by Josiah Willard Gibbs in the 1870s, Gibbs Free Energy (G) is the thermodynamic potential minimized by systems at constant temperature and pressure.

Reaction enthalpy in kJ/mol (negative for exothermic, positive for endothermic).

Reaction entropy in J/(mol·K) (positive indicates increasing disorder).

Operating temperature in degrees Celsius (standard ambient = 25°C).

What Is the Gibbs Free Energy & Spontaneity Calculator?

Gibbs Free Energy is the maximum amount of non-expansion work extractable from a closed thermodynamic system at constant temperature and pressure.

How Does the Gibbs Free Energy & Spontaneity Calculator Work?

A reaction is thermodynamically spontaneous when ΔG is negative. When ΔG is zero, the system has reached dynamic chemical equilibrium.

Gibbs Free Energy & Spontaneity Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

\Delta G = \Delta H - T \cdot \Delta S, \quad T_{crossover} = \frac{\Delta H}{\Delta S}

Gibbs energy change ΔG equals enthalpy change ΔH minus absolute temperature T in Kelvin times entropy change ΔS.

How to Use the Gibbs Free Energy & Spontaneity Calculator

  1. Input the enthalpy change ΔH in kJ/mol.
  2. Input the entropy change ΔS in J/(mol·K).
  3. Specify the temperature in °C.

Step-by-Step Example Calculation

Haber-Bosch Ammonia Synthesis (25°C)

Input Values:

deltaHKJPerMol:-92.4
deltaSJPerMolK:-198.4
temperatureCelsius:25
Worked Steps: At 25°C, ΔG = -33.25 kJ/mol (spontaneous). Crossover temperature is 192.5°C, above which the reaction becomes non-spontaneous.

Understanding Your Result

Gibbs Free Energy (ΔG): In kJ/mol. Negative indicates spontaneous forward process.

Spontaneity Status: Exergonic, endergonic, or equilibrium.

Crossover Temperature: The exact temperature where ΔG switches sign.

Factors That Affect the Result

  • Enthalpy drives low-temperature behavior; entropy term (T·ΔS) dominates high-temperature behavior.

When Should You Use This Calculator?

  • Chemical reactor design, biochemical metabolic pathway coupling, metallurgy, and material synthesis.

Assumptions & Limitations

  • Assumes constant pressure and temperature. Assumes ΔH and ΔS are approximately temperature-independent over the evaluated range.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard Gibbs-Helmholtz thermodynamic formulation.

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