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.