Gibbs Free Energy

Gibbs free energy is the amount of energy available to do work on a system. Given by

represents the enthalpy of the system, is the temperature and is the entropy. This is used when a system is at constant pressure.

Hemholtz Free Energy

Helmholtz free energy is the amount of energy available to do work on a system. Given by

represents the internal energy of the system, is the temperature and is the entropy. This is used when a system is at constant volume.