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Gibbs Free Energy

Gibbs free energy (ΔG) is a thermodynamic potential that determines the spontaneity of a chemical reaction at constant temperature and pressure.
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The statement of the theorem

Define the Gibbs free energy change (ΔG\Delta G) for a reaction proceeding from reactants RR to products PP at constant temperature TT and pressure PP: ΔG=∑jνjμj∘+RT∑jνjln⁡(ajaj∘)\Delta G = \sum_{j} \nu_j \mu_j^{\circ} + R T \sum_{j} \nu_j \ln\left(\frac{a_j}{a_j^{\circ}}\right). Alternatively, using the standard thermodynamic definition: ΔG=ΔH−TΔS\Delta G = \Delta H - T\Delta S. The spontaneity criterion requires ΔG<0\Delta G < 0 for a reaction to proceed spontaneously under the given conditions.
Source: Wikipedia