Instantaneous number-average molar

Instantaneous Number-Average Molar Masses In free-radical polymerization when the main chain terminating event is by chain transfer to chain transfer agents (CTA), the molar mass of the (co)polymer instantaneously produced is only a function of the polymerization temperature and the ratio of the monomer concentration over the CTA concentration. Thns, the instantaneous number-average molar mass can be compnted as... 

Therefore, if the ratio of the monomer to CTA concentration can be computed online, the instantaneous number-average molar masses can be inferred. 

Vicente et al. [30] used the heat of reaction and the open-loop observers developed in Section 7.2.5.3 to determine the concentration of monomer and CTA and hence to infer the instantaneous number-average molar masses during emulsion homo- and copolymerization reactions. In addition, the authors used the inferred values for online control of the molar mass distributions of copolymers with predefined distributions. They demonstrated that polymer latexes with unimodal MMD with the minimum achievable polydispersity index in free-radical polymerization (PI = 2) and bimodal distributions could be easily produced in linear polymer systems [15, 30]. 

Instantaneous number-average molar mass, in interval II for a 0-1 system with radical entry faster than radical transfer (n = 0.5) ... 

The molar mass can be addressed using the kinetic chain length concept for free radical polymerization the instantaneous number average chain length, is given in the QSSA for the aforementioned conditions... 

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