The equilibrium statistical characteristics of hyperbranched reaction system of AB(g) type is studied from two viewpoints by using the principle of statistical mechanics. The equilibrium free energy and a relationship between the conversion and some thermodynamic quantities are obtained. Furthermore, two new methods that can be used to evaluate the number fraction distribution of hyperbranched polymers are reported. As an application, it is found that the effect of polymerization is significant on the equation of state proposed by the improved lattice-fluid theory.
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