Many researches have done on “Gelation point of poly condensation polymers”. But most of them dealt with systems without mono functional component.
In the case of systems containing mono functional components, stopping effect on chains or branches by mono functional components must be taken into consideration.
Equation showing gelation point of poly condensation reactants containing any functional compositions is derived._??_
where
p: extent of reaction of functional group A
q: extent of reaction of functional group B.i: fraction of functional group A that belongs to
j-functional component in all A.
σ
l: fraction of functional group B that belongs to
l-functional component in all B.
fj: functionality of
j-functional component of A.
gl: functionality of l-functional component of B.
To confirm the agreement of this equation, gelation point of various polyester compositions were determined.
One or more than two of lauric acid, adipic acid, trimellitic acid and trimellitic anhydride were reacted with one or more than two mixture of oleyl alcohol,
di-ethylene glycol,
tri-methylol propane and pentaerythritol. Small amount of
p-toluene sulfonic acid was added as catalyst. Reactions were carried out at 150°C or 160°C without solvents. In the later period of the reaction, it proceed as a second-order reaction, and
p/(1-
p)-
t plot agreed straight line. Gelation point was determined by extrapolate of this line to gel time.
Estimated extent of reaction at gel point using above equation were agreed with results of experiments very well. Standard deviation of
Δp=
Pobs.-
Pcalc. was 3.8%.
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