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The following excerpt from The Theory of Coloration of Textiles (A. Johnson [ed.]) provides background reading as an introduction to the thermodynamics of dye sorption (and experimental techniques to the measurement of adsorption). Ch 4, H.H. Sumner

The following excerpt from the book An Introduction to Textile Coloration, by Rodger Wardman provides a clear and accessible introduction to Adsorption Isotherms

The following papers are provided for additional interest and information;

JSDC, August 1973, C.H. Giles, Giles, JSDC, 1973

Coloration Technology, 118 (2002) Park, Coloration Technology

JSDC, 1945, 61 (8) Skinner and Vickerstaff