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On The Existence of Nonunique Equilibrium States
Marcel Maeder1, Zahra Rasouli2, Yousef Azizi3
1Department of Chemistry, University of Newcastle, Newcastle NSW 2308, Australia.
The Journal of Physical Chemistry. A
|September 28, 2023
Summary
Chemists typically assume a single equilibrium position. However, this study reveals that bistable equilibria are possible in basic chemical systems, impacting reaction kinetics.
Area of Science:
- Chemical Thermodynamics
- Physical Chemistry
Background:
- The law of mass action is fundamental to chemical equilibrium.
- Equilibrium positions are generally considered unique in homogeneous solutions.
- Previous applications of the law of mass action have primarily used concentrations.
Purpose of the Study:
- To investigate the possibility of multiple equilibrium positions in a basic chemical system.
- To explore the role of activity coefficients in chemical equilibrium.
- To analyze the kinetic implications of non-unique equilibria.
Main Methods:
- Application of the law of mass action to a basic equilibrium system.
- Utilizing established approximations for activity coefficients.
- Analyzing the resulting kinetic and equilibrium behaviors.
Main Results:
- Demonstrated that bistable equilibria are possible under specific conditions.
- Showcased bifurcation in the kinetics of reaching stable equilibria.
- Highlighted the importance of activity coefficients in determining equilibrium uniqueness.
Conclusions:
- The uniqueness of equilibrium positions is not universally guaranteed.
- Bistable equilibria can arise from the correct application of the law of mass action.
- Understanding these phenomena is crucial for predicting chemical system behavior and reaction pathways.
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