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.
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
- NIST: NIST Chemistry WebBook - Thermochemical Data.
- IUPAC: IUPAC Recommendations on Thermodynamic Quantities.
Reviewed by the CalculatorHub team, edited by James Graham, 14 June 2026. See our methodology.