Gibbs Free Energy Calculator

The Gibbs free energy calculator determines whether a chemical reaction is thermodynamically spontaneous by computing delta G from enthalpy (delta H) and entropy (delta S) changes at a given temperature. Named after Josiah Willard Gibbs, Gibbs free energy is the central concept in chemical thermodynamics. A negative delta G means the reaction will proceed spontaneously (though not necessarily quickly); a positive delta G means energy input is required. This tool also calculates the equilibrium constant K from delta G standard, and the crossover temperature where a reaction changes from spontaneous to non-spontaneous. Understanding Gibbs free energy is essential in industrial chemistry, biochemistry, materials science, and electrochemistry.

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Gibbs free energy formula

delta G = delta H - T * delta S
Spontaneous if: delta G less than 0
Equilibrium: delta G = 0
K = exp(-delta G_standard / (R * T))
R = 8.314 J/(mol*K)

Spontaneity by signs of delta H and delta S

  • delta H negative, delta S positive: always spontaneous at any temperature.
  • delta H negative, delta S negative: spontaneous only at low temperatures.
  • delta H positive, delta S positive: spontaneous only at high temperatures.
  • delta H positive, delta S negative: never spontaneous at any temperature.

Gibbs free energy: frequently asked questions

What is Gibbs free energy?

Gibbs free energy (G) is a thermodynamic potential that measures the maximum useful work a system can do at constant temperature and pressure. The change in Gibbs free energy (delta G = delta H - T * delta S) tells us whether a reaction is spontaneous. If delta G is negative, the reaction proceeds spontaneously; if positive, it is non-spontaneous; if zero, the system is at equilibrium.

What do the signs of delta H and delta S mean?

delta H negative (exothermic) favors spontaneity. delta S positive (entropy increase, more disorder) favors spontaneity. At any temperature, the sign of delta G determines spontaneity: delta G = delta H - T*delta S. A negative delta H and positive delta S always give delta G negative (always spontaneous).

How is Gibbs energy related to equilibrium constant?

At equilibrium, delta G = 0, so delta G_standard = -R*T*ln(K), where K is the equilibrium constant. Rearranging: K = exp(-delta G_standard / (R*T)). A strongly negative standard Gibbs energy means K >> 1 (products heavily favored at equilibrium). A positive standard Gibbs energy means K << 1 (reactants favored).

What is the difference between delta G and delta G_standard?

Delta G_standard (delta G°) is measured at standard conditions (25 degC, 1 atm, 1 M concentrations). Delta G accounts for actual reaction conditions: delta G = delta G° + R*T*ln(Q), where Q is the reaction quotient. When Q < K, delta G is negative and the reaction proceeds forward toward equilibrium.

Can a non-spontaneous reaction be made to occur?

Yes. Non-spontaneous reactions can be driven by coupling them to spontaneous processes that supply enough energy. For example, ATP hydrolysis (delta G = -30 kJ/mol) drives many biosynthetic reactions in cells. Electrolysis uses electrical energy to drive non-spontaneous electrochemical reactions. Photosynthesis uses light energy to convert CO2 and water into glucose.

Official sources

Reviewed by the CalculatorHub team, edited by James Graham, 14 June 2026. See our methodology.