| ΔH | ΔS | Spontaneity |
|---|---|---|
| − (exothermic) | + (disorder increases) | Spontaneous at all temperatures |
| + (endothermic) | − (disorder decreases) | Never spontaneous |
| − (exothermic) | − (disorder decreases) | Spontaneous at low T (below ΔH/ΔS) |
| + (endothermic) | + (disorder increases) | Spontaneous at high T (above ΔH/ΔS) |
Gibbs free energy G combines enthalpy and entropy into a single criterion for spontaneity at constant temperature and pressure: ΔG = ΔH − TΔS. A negative ΔG indicates a spontaneous process, a positive ΔG indicates a non-spontaneous one, and ΔG = 0 marks the point of equilibrium. This calculator lets you solve for any one of ΔG, ΔH, ΔS, or T given the other three. Note that ΔH is entered in kJ/mol while ΔS is in J·mol⁻¹·K⁻¹ — the calculator handles the unit conversion automatically. The crossover temperature T = ΔH/ΔS is the temperature at which ΔG changes sign, indicating the boundary between spontaneous and non-spontaneous conditions. The second section converts between the standard Gibbs free energy ΔG° and the equilibrium constant K using ΔG° = −RT·ln(K), which is fundamental to chemical equilibrium, electrochemistry, and thermodynamic cycle analysis.