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Gibbs Free Energy

Predicts spontaneity of a reaction.

Formula

ΔG=ΔH−TΔS\Delta G = \Delta H - T\Delta S

Variables

\Delta HEnthalpy
TTemperature
\Delta SEntropy

Example

ΔG < 0 → spontaneous

How it works

Gibbs free energy combines the enthalpy change and the entropy change, adjusted for temperature, to tell you whether a process is thermodynamically favorable at constant temperature and pressure. The idea is that a reaction is driven forward by releasing heat (negative ΔH) and by increasing disorder (positive ΔS), but the entropy term only matters strongly when multiplied by temperature. If ΔG is negative, the process can proceed spontaneously in the forward direction; if positive, the reverse direction is favored unless energy is supplied.

When to use it

Use this formula when you need to judge whether a chemical reaction, phase change, or biochemical process is favorable under specific temperature conditions. It is especially useful in equilibrium chemistry, electrochemistry, and reactions where temperature changes can switch spontaneity.

Worked example, step by step

A reaction has ΔH = -85 kJ/mol and ΔS = -120 J/(mol·K) at 298 K. Step 1: Convert ΔS to kJ/(mol·K): -120 J/(mol·K) = -0.120 kJ/(mol·K) Step 2: Calculate TΔS: (298 K)(-0.120 kJ/(mol·K)) = -35.76 kJ/mol Step 3: Substitute into ΔG = ΔH - TΔS: ΔG = -85 - (-35.76) Step 4: Simplify: ΔG = -49.24 kJ/mol Step 5: Interpret the result: ΔG is negative, so the reaction is spontaneous under these conditions.

Common mistakes to avoid

  • Forgetting to convert entropy units so that ΔS matches the energy units used for ΔH
  • Using the sign of ΔG to predict speed instead of spontaneity; thermodynamics does not tell you reaction rate
  • Assuming a reaction with negative ΔG is spontaneous in every condition, when temperature can change the result

Did You Know?

A negative Gibbs free energy means a reaction is spontaneous — the master rule of chemical direction.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026