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One‐point method for determination of number‐average molecular weight
Author(s) -
Ogawa Toshio,
Tanaka Shoichi,
Hoshino Sadao
Publication year - 1973
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.1973.070170810
Subject(s) - virial coefficient , molar mass distribution , polymer , thermodynamics , point (geometry) , materials science , basis (linear algebra) , statistical physics , chemistry , mathematics , physics , organic chemistry , geometry
The following well‐known equation permits the ready determination of M n from a single osmotic pressure measurement at a known concentration, if the second virial coefficient is previously given:\documentclass{article}\pagestyle{empty}\begin{document}$ \left( {{\pi \mathord{\left/ {\vphantom {\pi C}} \right. \kern-\nulldelimiterspace} C}} \right)^{{1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-\nulldelimiterspace} 2}} = \left( {{{RT} \mathord{\left/ {\vphantom {{RT} {\bar M_n }}} \right. \kern-\nulldelimiterspace} {\bar M_n }}} \right)^{{1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-\nulldelimiterspace} 2}} \left( {1 + {{\Gamma _2 C} \mathord{\left/ {\vphantom {{\Gamma _2 C} 2}} \right. \kern-\nulldelimiterspace} 2}} \right). $\end{document} On this basis, the one‐point method was investigated to determine the number‐average molecular weight. It was found that this method was applicable to commercial polymers. However, in this application, the dependence of Γ 2 on molecular weight distribution has to be kept in mind.