The Gibbs function, G, is a thermodynamic potential that provides a complete and consistent description of a pure substance under non-isothermal and non-homogen...
The Gibbs function, G, is a thermodynamic potential that provides a complete and consistent description of a pure substance under non-isothermal and non-homogeneous conditions. It encompasses both the internal energy and the heat content of the system, allowing for a single, unique thermodynamic state to be defined for a given set of conditions.
G is a function of the state of the system, and it can be expressed in terms of the internal energy E and the heat capacity at constant pressure, C_p. It is a function of the chemical potential of the system, γ, and the total energy of the system, U.
G = E - TS_p = U - T(C_p ln (T) + RT),
where:
G is the Gibbs function
E is the internal energy
S_p is the specific heat capacity at constant pressure
T is the temperature
U is the total energy
R is the ideal gas constant
T_p is the saturation temperature
By minimizing G with respect to the internal energy E, the Gibbs free energy is attained. It provides valuable insights into the equilibrium and phase behavior of a system, including phase transitions, critical points, and maximum work