Relationship Between Thermodynamic Parameters and Polymerizability

Spontaneous polymerization requires AGp 0. Ionic polymerizations are commonly carried out in solution, thus, AGp depends on monomer and polymer concentrations (activities). 

Entropies of monomer and polymer increase with dilution by — Rln [M]0 and 

The polymer concentration is expressed by the concentration of macromolecules as one species and not by the polymer segments (R In [M]0 — [M]e ). The dilution factor of the entropy relies on translation of the whole macromolecule, the polymer segment is considered to have no translational freedom. 

the total change of the free energy of conversion of 1 mole of monomer to polymer is  

Usually high molecular weight polymer is formed (n g 1) and the last term of the right hand side (RHS) of Eq. (2-2) can be neglected. When the monomer equilibrium concentration is much lower than the initial concentration of monomer then Eq. (2-2) is reduced to the well-known Eq. (2-3)  

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