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Gibbs Free Energy Thermodynamic Spontaneity Calculator

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Gibbs Free Energy combines enthalpy and entropy into a single state function determining whether a chemical reaction or physical process occurs spontaneously at constant temperature...

Reviewed by Ahmad Faraz · BSCS
Last updated:
Editorial Guidelines

⚙ Input Values

kJ/mol
J/(mol·K)
K (25°C)

📊 Results

Gibbs Free Energy Change (ΔG)
-144.72
kJ/mol
Thermodynamic Spontaneity Status
SPONTANEOUS / EXERGONIC (ΔG < 0 kJ/mol): Process is thermodynamically favorable.
Equilibrium Transition Temp (T_eq)
-666.7
K
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📐 Formula

Gibbs Free Energy Formula: ΔG = ΔH - ( T × [ΔS ÷ 1000] )
Where ΔH = Enthalpy (kJ/mol), ΔS = Entropy (J/[mol·K]), T = Kelvin (K)
Equilibrium Transition Temperature T_eq = ΔH ÷ (ΔS ÷ 1000)

💡 Practical Example

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Exothermic reaction with ΔH = -100 kJ/mol and ΔS = +150 J/(mol·K) at T = 298.15 K (25°C): ΔS in kJ = 0.150 kJ/(mol·K). ΔG = -100 - = -100 - 44.72 = -144.72 kJ/mol.

📖 About Gibbs Free Energy Thermodynamic Spontaneity Calculator

Gibbs Free Energy combines enthalpy and entropy into a single state function determining whether a chemical reaction or physical process occurs spontaneously at constant temperature and pressure.

To use the Gibbs Free Energy Thermodynamic Spontaneity Calculator, enter your Enthalpy Change, Entropy Change, Absolute Temperature (T). The calculator instantly computes Gibbs Free Energy Change, Thermodynamic Spontaneity Status and more. Results update in real time as you change any input — no submit button needed.

How to Use This Calculator

Enter your Enthalpy Change (ΔH) (e.g. -100 in kJ/mol), Entropy Change (ΔS) (e.g. 150 in J/(mol·K)), and Absolute Temperature (T) (e.g. 298.15 in K (25°C)). Verify your units match the formula standard (SI vs imperial) before entering values.

The Formula

Gibbs Free Energy Formula: ΔG = ΔH - ( T × [ΔS ÷ 1000] )

Where ΔH = Enthalpy (kJ/mol), ΔS = Entropy (J/[mol·K]), T = Kelvin (K)

Equilibrium Transition Temperature T_eq = ΔH ÷ (ΔS ÷ 1000)

Worked Example

Exothermic reaction with ΔH = -100 kJ/mol and ΔS = +150 J/(mol·K) at T = 298.15 K (25°C):

ΔS in kJ = 0.150 kJ/(mol·K).

ΔG = -100 - = -100 - 44.72 = -144.72 kJ/mol.

Understanding Your Result

Energy unit conversions: 1 kWh = 3,600,000 J (3.6 MJ), 1 kcal (food calorie) = 4,184 J, 1 BTU = 1,055 J. Power benchmarks: LED bulb 8–10 W, laptop 15–60 W, desktop PC 200–500 W, hair dryer 1,000–1,800 W, electric vehicle charger (Level 2) 7,200 W. A 100W device running 10 hours uses 1 kWh. At 15 cents/kWh (US average), that's 0.

  • Energy efficiency is typically more cost-effective than energy generation — 1 unit of energy saved often costs 3–5× less than 1 unit generated.

💡 Methodological Standards & Calculation Accuracy

  • All calculations are performed client-side in your browser using verified, standards-compliant mathematical algorithms.
  • Results are provided for educational and informational analysis; verify critical applications with certified domain specialists.
  • Ensure input values are entered in consistent units matching the selector options to guarantee accurate outputs.
  • Periodic recalibration is recommended whenever baseline assumptions, operating parameters, or external conditions change.

Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.

❓ Frequently Asked Questions

What does a negative ΔG value mean?

A negative ΔG indicates an exergonic spontaneous reaction that releases free energy available to do work.

Why is entropy divided by 1,000 in the formula?

Enthalpy is usually given in kilojoules, while entropy is in joules. Dividing ΔS by 1,000 converts it to kJ.

What scientific standards are used?

The calculator adheres to SI (International System of Units) standards unless otherwise specified. Values use NIST-recommended physical constants.

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