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13 - Uniqueness

from PART I - EQUILIBRIUM IN NATURAL WATERS

Published online by Cambridge University Press:  09 December 2021

Craig M. Bethke
Affiliation:
University of Illinois, Urbana-Champaign
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Summary

Valid solutions to the multicomponent equilibrium problem are commonly but not invariably unique roots of the governing equations. Modelers for this reason need to consider the possibility of the existence of more than one mathematically correct root to the equations describing chemical equilibrium in multicomponent systems. This chapter demonstrates the origin of nonunique roots to the equilibrium problem, provides several worked examples of how such roots may arise, and gives advice about coping with the possibility of nonuniqueness.

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Publisher: Cambridge University Press
Print publication year: 2022

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  • Uniqueness
  • Craig M. Bethke, University of Illinois, Urbana-Champaign
  • Book: Geochemical and Biogeochemical Reaction Modeling
  • Online publication: 09 December 2021
  • Chapter DOI: https://doi.org/10.1017/9781108807005.018
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  • Uniqueness
  • Craig M. Bethke, University of Illinois, Urbana-Champaign
  • Book: Geochemical and Biogeochemical Reaction Modeling
  • Online publication: 09 December 2021
  • Chapter DOI: https://doi.org/10.1017/9781108807005.018
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Uniqueness
  • Craig M. Bethke, University of Illinois, Urbana-Champaign
  • Book: Geochemical and Biogeochemical Reaction Modeling
  • Online publication: 09 December 2021
  • Chapter DOI: https://doi.org/10.1017/9781108807005.018
Available formats
×