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Gibbs Free Energy Calculator

Gibbs Free Energy Calculator

Calculate Gibbs free energy, enthalpy, entropy, or temperature and determine reaction spontaneity

Calculate Gibbs Free Energy Properties

Heat absorbed or released in the reaction

Change in disorder of the system

Absolute temperature of the reaction

Quick Load Example Reactions

Gibbs Free Energy Results

0.00
kJ

Formula used: ΔG = ΔH - T × ΔS

Analysis:

Energy Analysis: Both enthalpy and entropy contribute significantly

Example Calculation

Haber Process: N₂ + 3H₂ → 2NH₃

Given: ΔH = -92.22 kJ, ΔS = -198.75 J/K, T = 20°C (293.15 K)

Question: Is the reaction spontaneous at room temperature?

Solution

1. ΔG = ΔH - T × ΔS

2. ΔG = -92.22 kJ - (293.15 K × -0.19875 kJ/K)

3. ΔG = -92.22 kJ + 58.26 kJ

4. ΔG = -33.96 kJ

Conclusion: Since ΔG < 0, the reaction is spontaneous at 20°C

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Spontaneity Guide

ΔG < 0

Spontaneous (Exergonic)

Reaction proceeds without external energy

ΔG > 0

Non-spontaneous (Endergonic)

Requires external energy input

ΔG = 0

At Equilibrium

No net change in the system

Temperature Effects

ΔH < 0, ΔS > 0
Spontaneous at all temperatures
ΔH > 0, ΔS < 0
Non-spontaneous at all temperatures
ΔH < 0, ΔS < 0
Spontaneous at low temperatures
ΔH > 0, ΔS > 0
Spontaneous at high temperatures

Understanding Gibbs Free Energy

What is Gibbs Free Energy?

Gibbs free energy (G) is a thermodynamic potential that measures the maximum reversible work that can be performed by a system at constant temperature and pressure. It combines the effects of enthalpy and entropy to predict reaction spontaneity.

Key Concepts

  • Negative ΔG indicates a spontaneous process
  • Positive ΔG requires external energy input
  • ΔG = 0 represents equilibrium conditions
  • Temperature affects the entropy contribution

The Gibbs Equation

Primary Formula

ΔG = ΔH - TΔS

ΔG = Gibbs free energy change

ΔH = Enthalpy change

T = Absolute temperature (K)

ΔS = Entropy change

Equilibrium Relationship

ΔG = -RT ln(K)

Relates free energy to equilibrium constant

Standard Conditions

ΔG° measured at 25°C, 1 atm, 1 M concentrations

Enthalpy vs Entropy Contributions

Enthalpy-Driven Reactions

When |ΔH| >> |TΔS|, the reaction is primarily driven by enthalpy changes.

Examples: Combustion reactions, acid-base neutralizations

Entropy-Driven Reactions

When |TΔS| >> |ΔH|, the reaction is primarily driven by entropy changes.

Examples: Dissolution processes, phase transitions

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