Free energy Flory-Huggins solution theory is a mathematical model of the thermodynamics of polymer solutions which takes account of the great dissimilarity in molecular sizes in adapting the usual expression for the entropy of mixing. The result is an equation for the Gibbs free energy change for mixing a polymer with a solvent. Although it makes simplifying assumptions, it generates useful results for interpreting experiments. Paul Flory and Maurice Huggins were American physical chemists, and Flory received the Nobel Prize in Chemistry for this work in 1974. They developed the theory independently while Flory was working for Esso and Huggins was working for Kodak. ...more on Wikipedia about "Flory-Huggins solution theory"
The free energy is a measure of the amount of mechanical (or other) work that can be extracted from a system, and is helpful in engineering applications. It is a linear combination of the energy and the entropy of a system, yielding a thermodynamic state function which represents the "useful energy". It uses a mathematical "trick" to produce a function which automatically accommodates any entropy change due to heat exchanged with the surroundings. ...more on Wikipedia about "Free energy"
In thermodynamics the Gibbs free energy is a thermodynamic potential and is therefore a state function of a thermodynamic system. It is defined as ...more on Wikipedia about "Gibbs free energy"
The Helmholtz free energy is a thermodynamic potential which measures the "useful" work obtainable from constant temperature, constant volume thermodynamic systems. It is sometimes known as the "work content". For a simple system, with a fixed number of particles, the negative of the difference in the Helmholtz free energy is equal to the maximum amount of work extractable from a thermodynamic process in which temperature is held constant. ...more on Wikipedia about "Helmholtz free energy"
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