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An Error‐in‐Variables Method for Determining Reactivity Ratios by On‐Line Monitoring of Copolymerization Reactions
Author(s) -
Sünbül Didem,
ÇatalgilGiz Huceste,
Reed Wayne,
Giz Ahmet
Publication year - 2004
Publication title -
macromolecular theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.37
H-Index - 56
eISSN - 1521-3919
pISSN - 1022-1344
DOI - 10.1002/mats.200300008
Subject(s) - reactivity (psychology) , copolymer , monomer , random error , propagation of uncertainty , calibration , line (geometry) , confidence interval , statistics , distribution (mathematics) , approximation error , mathematics , chemistry , polymer , materials science , thermodynamics , physics , organic chemistry , mathematical analysis , medicine , alternative medicine , geometry , pathology
Summary: A new error‐in‐variables method was developed to estimate the reactivity ratios in copolymerization systems. It brings the power of automatic, continuous, on‐line monitoring of polymerization (ACOMP) to copolymerization calculations. In ACOMP systems, monomer and polymer concentrations are measured by the monitoring of two independent properties of the system. The reactivity ratios are found by taking into account errors in the monomer concentrations determined from measurements and from calibration of the instruments. All the error sources are taken into account according to the error‐in‐variables method, and their effects are reflected in determining the confidence intervals of the reactivity ratios by the usual error propagation technique.Distribution of concentrations [a] and [b] for the simulated experiment I. Random errors are 1% of the initial value in both observed variables.