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 (at constant T). Spontaneity criterion at constant T and P: deltaGdelta_G < 0 (spontaneous), deltaGdelta_G = 0 (equilibrium), deltaGdelta_G > 0 (non-spontaneous). Four scenarios: (1) deltaHdelta_H < 0, deltaSdelta_S > 0: always spontaneous — both terms favour negative deltaGdelta_G. (2) deltaHdelta_H > 0, deltaSdelta_S < 0: never spontaneous — both terms oppose. (3) deltaHdelta_H < 0, deltaSdelta_S < 0: spontaneous at low T (enthalpy-driven), non-spontaneous at high T. (4) deltaHdelta_H > 0, deltaSdelta_S > 0: spontaneous at high T (entropy-driven), non-spontaneous at low T. Crossover temperature: T = deltaHdeltaS\frac{delta_H}{delta_S} (where deltaGdelta_G = 0). Common trap: forgetting to convert kJ to J when deltaHdelta_H is in kJ and deltaSdelta_S is in J/K. delta_G_{standard} vs deltaGdelta_G: delta_G_{standard} is for standard conditions (constant for a reaction at given T). deltaGdelta_G = delta_G_{standard} + RT ln Q (actual conditions). At equilibrium: Q = K, deltaGdelta_G = 0. Therefore delta_G_{standard} = -RT ln K. If K > 1: delta_G_{standard} < 0. If K < 1: delta_G_{standard} > 0. Gibbs energy is the maximum non-PV work obtainable from a process.

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