Everything about Flory-huggins Solution Theory totally explained
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.The
thermodynamic equation for the
Gibbs free energy change accompanying mixing at constant
temperature and (external)
pressure is
»
A change, denoted by
, is the
value of a
variable for a
solution or
mixture minus the values for the pure
components considered separately. The objective is to find explicit
formulas for
and
, the
enthalpy and
entropy increments associated with the mixing
process.
The result obtained by Flory and Huggins is
» is the actual volume of a polymer segment.
This treatment doesn't attempt to calculate the
conformational entropy of folding for polymer chains. (See the
random coil discussion.) The conformations of even
amorphous polymers will change when they go into solution, and most
thermoplastic polymers also have
lamellar crystalline regions which don't persist in solution as the chains separate. These events are accompanied by additional entropy and energy changes.
More advanced models exist, such as the
Flory-Krigbaum theory.
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