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Multiple Linear Least-Squares Fits with a Common Intercept: Determination of the Intrinsic Viscosity of Macromolecules in Solution

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M. C. López Martínez , F. G. Díaz Baños , A. Ortega Retuerta and J. García de la Torre

Departamento de Química Física, Facultad de Química, Universidad de Murcia, 30071 Murcia, Spain

J. Chem. Educ., 2003, 80 (9), p 1036

DOI: 10.1021/ed080p1036

Publication Date (Web): September 1, 2003

Abstract

A procedure, based on the least-squares principle for simultaneously fitting two or more linear data sets with a common intercept, is described. Expressions are derived to calculate the common intercept and the slopes. The procedure is applied to several laboratory experiments. Particularly, this procedure is employed in the measurement of the intrinsic viscosity, which expresses the concentration dependence of the viscosity of a dilute polymer solution. The intrinsic viscosity is determined by extrapolation to zero concentration of a polymer quantity that involves the solution viscosity and concentration. The extrapolation can be done by two procedures, associated with the names of Huggins and Kraemer, both yielding the intrinsic viscosity as the common intercept. A numerical procedure, implemented with the computer program VISFIT was devised. This procedure is employed for the data analysis in the determination of intrinsic viscosities.

Keywords (Audience):

Second-Year Undergraduate

Keywords (Domain):

Physical Chemistry

Keywords (Subject):

Biophysical Chemistry

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This article has been cited by 1 ACS Journal articles (1 most recent appear below).

Measurement of Solution Viscosity via Diffusion-Ordered NMR Spectroscopy (DOSY)
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Journal of Chemical Education2011 88 (9), 1331-1335
- Measurement of Solution Viscosity via Diffusion-Ordered NMR Spectroscopy (DOSY)
  Weibin Li, Gerald Kagan, Russell Hopson, and Paul G. Williard
  Journal of Chemical Education2011 88 (9), 1331-1335
  Increasingly, the undergraduate chemistry curriculum includes nuclear magnetic resonance (NMR) spectroscopy. Advanced NMR techniques are often taught including two-dimensional gradient-based experiments. An investigation of intermolecular forces including ...
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