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A segment probability method for calculating the molecular weight distributions of linear polycondensates in a continuous reactor
Authors:Cheng Chang  Lian-Fang Feng  Xue-Ping Gu  Cai-Liang Zhang  Xi Chen  Guo-Hua Hu
Affiliation:1. State Key Laboratory of Chemical Engineering, College of Chemical and Biological Engineering, Zhejiang University, Hangzhou, China

Contribution: ​Investigation (equal), Methodology (equal), Validation (equal), Writing - original draft (equal);2. State Key Laboratory of Chemical Engineering, College of Chemical and Biological Engineering, Zhejiang University, Hangzhou, China

Institute of Zhejiang University—Quzhou, Quzhou, China

Contribution: Project administration (lead), Supervision (equal);3. State Key Laboratory of Chemical Engineering, College of Chemical and Biological Engineering, Zhejiang University, Hangzhou, China;4. National Center for International Research on Quality-Targeted Process Optimization and Control, Hangzhou, China;5. Laboratory of Reactions and Process Engineering (LRGP, UMR CNRS 7274), University of Lorraine—CNRS, Nancy, France

Abstract:The molecular weight distribution (MWD) of polymers is a target of the optimization and control of industrial polymerization processes, as it dictates the processability and properties of polymers. A method, named as segment probability method, is developed to calculate the MWD of polycondensates produced by monomers of types A2 and B2 in a continuous reactor. It considers a growing chain as being composed of A and B segments in the middle of the chain and two terminal segments at the chain ends. It calculates the propagation probabilities of these different types of segments upon taking into account both the polycondensation and side reaction kinetics as well as the residence time distribution of the continuous reactor. The method is validated by poly(butylene terephthalate) (PBT) obtained from an industrial polymerization process composed of a continuous esterification reactor. The MWDs of the PBT calculated by this method are in agreement with those measured by size exclusion chromatography with mean square errors less than 10%.
Keywords:continuous reactor  molecular weight distribution  residence time distribution  segment probability method  step-growth polymerization
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