Part of JPC-04 — Chemical Thermodynamics: Enthalpy, Entropy & Gibbs

Gibbs Free Energy and Spontaneity

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G = H - TS. deltaGdelta_G = deltaHdelta_H - T*deltaSdelta_S. Spontaneity criterion: deltaGdelta_G < 0. The sign of deltaGdelta_G depends on the balance between enthalpy and entropy terms. Four scenarios: (1) deltaHdelta_H < 0, deltaSdelta_S > 0: always spontaneous (both terms favour it). (2) deltaHdelta_H > 0, deltaSdelta_S < 0: never spontaneous. (3) deltaHdelta_H < 0, deltaSdelta_S < 0: spontaneous at low T (enthalpy-driven, e.g., freezing). (4) deltaHdelta_H > 0, deltaSdelta_S > 0: spontaneous at high T (entropy-driven, e.g., melting, decomposition). Crossover temperature: T = deltaHdeltaS\frac{delta_H}{delta_S}. At this temperature, deltaGdelta_G = 0 (equilibrium).

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