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activity coefficient, f, γ

The activity coefficient f B of a substance B in a liquid or solid mixture containing mole fractions x B, x C, ... of the substances B, C, ... is a dimensionless quantity defined in terms of the chemical potential μ B of B in the mixture by:
R T ln ( x B f B ) = μ B cd T P x − μ B * cd T p
where x denotes the set of mole fractions x B, x C, ... . The activity coefficient γ B of a solute B in a solution (especially a dilute liquid solution) containing molalities m B, m C, ... of solutes B, C, ... in a solvent A is a dimensionless quantity defined in terms of the chemical potential μ B by:
R T ln ( m B γ B m ⊖ ) = μ B − μ B − R T ln ( m B m ⊖ ) ∞
Source:
PAC, 1994, 66, 533 (Standard quantities in chemical thermodynamics. Fugacities, activities and equilibrium constants for pure and mixed phases (IUPAC Recommendations 1994)) on page 543
PAC, 1994, 66, 533 (Standard quantities in chemical thermodynamics. Fugacities, activities and equilibrium constants for pure and mixed phases (IUPAC Recommendations 1994)) on page 546
PAC, 1990, 62, 2167 (Glossary of atmospheric chemistry terms (Recommendations 1990)) on page 2171
PAC, 1996, 68, 957 (Glossary of terms in quantities and units in Clinical Chemistry (IUPAC-IFCC Recommendations 1996)) on page 960
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IUPAC. Compendium of Chemical Terminology, 2nd ed. (the "Gold Book"). Compiled by A. D. McNaught and A. Wilkinson. Blackwell Scientific Publications, Oxford (1997). XML on-line corrected version: http://goldbook.iupac.org (2006-) created by M. Nic, J. Jirat, B. Kosata; updates compiled by A. Jenkins. ISBN 0-9678550-9-8. doi:10.1351/goldbook.
Last update: 2014-02-24; version: 2.3.3.
DOI of this term: doi:10.1351/goldbook.A00116.
Original PDF version: http://www.iupac.org/goldbook/A00116.pdf. The PDF version is out of date and is provided for reference purposes only. For some entries, the PDF version may be unavailable.
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