The Canadian Journal of Chemical Engineering

Volume 71, Issue 6 pp. 977-981

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Absorption of radiation by substances at “high” concentrations: A new equation and process monitoring applications

R. Thatipamala,

R. Thatipamala

Department of Chemical Engineering, University of Saskatchewan, Saskatoon, Saskatchewan S7N 0WO

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G. A. Hill,

Corresponding Author

G. A. Hill

Department of Chemical Engineering, University of Saskatchewan, Saskatoon, Saskatchewan S7N 0WO

Department of Chemical Engineering, University of Saskatchewan, Saskatoon, Saskatchewan S7N 0WOSearch for more papers by this author

S. Rohani,

S. Rohani

Department of Chemical Engineering, University of Saskatchewan, Saskatoon, Saskatchewan S7N 0WO

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R. Thatipamala,

R. Thatipamala

Department of Chemical Engineering, University of Saskatchewan, Saskatoon, Saskatchewan S7N 0WO

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G. A. Hill,

Corresponding Author

G. A. Hill

Department of Chemical Engineering, University of Saskatchewan, Saskatoon, Saskatchewan S7N 0WO

Department of Chemical Engineering, University of Saskatchewan, Saskatoon, Saskatchewan S7N 0WOSearch for more papers by this author

S. Rohani,

S. Rohani

Department of Chemical Engineering, University of Saskatchewan, Saskatoon, Saskatchewan S7N 0WO

Search for more papers by this author

First published: December 1993

https://doi.org/10.1002/cjce.5450710622

Citations: 3

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Abstract

Beer-Lambert's law has a wide range of applications, spanning the fields of pure sciences and engineering, and is commonly used for the determination of the concentration of an optically sensitive compound, at “low” concentrations. In this report it is shown that a log-log expression, log(T/T₀) = K log(C/C₀), accurately models experimental data (±3%) for four different absorbing species, at “high” concentrations. The dimensionless constant K is shown to be only a characteristic of the absorbing species, and independent of the spectrophotometer/cuvette system used. The new equation is used for on-line monitoring of dynamic biomass concentration in a continuous bioreactor (CSTBR) for a step change in dilution rate.

Abstract

La loi de Beer-Lambert qui présente une grande variété d'applications possibles dans les domaines des sciences pures et de l'ingénierie, est couramment utilisée pour la détermination de la concentration d'espèce optiquement sensible à “basses” Concentrations. Nous montrons dans ce rapport qu'une expression log-log, log (T/T₀) = K log (C/C₀), représente prtcisément les données expéimentales (±3%) de quatre espèces absorbantes différentes à “hautes” concentrations. On montre que la constante adimensionnelle K ne dépend que les caractéristiques des espéces absorbantes et est indépendante du systéme cuvette-spectrophotométre utilisè. La nouvelle èquation est utilisée pour la vérification en ligne de la concentration dynamique de biomasse dans un bioréacteur continue (CSTR) pour des changements en échelon du taux de dilution.

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Volume71, Issue6

December 1993

Pages 977-981

Absorption of radiation by substances at “high” concentrations: A new equation and process monitoring applications

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Absorption of radiation by substances at “high” concentrations: A new equation and process monitoring applications

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