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Related Concept Videos

Electrical Transport01:29

Electrical Transport

The electrical transport property of a material is defined by its resistance and conductivity. Resistance is the measure of a material's ability to resist the flow of electric current, while conductivity gauges its ability to allow the current to pass through, depending on the geometry of the measurement cell, such as electrode spacing and area. Conductivity is measured in Siemens (S). There are different types of conductance, including specific conductance, equivalent conductance, and molar...
Theory of Strong Electrolytes01:23

Theory of Strong Electrolytes

The interionic forces of the strong electrolytes depend on the solvent's dielectric constant, which is the ability of a solvent to store electrical energy, based on its polarizability. and the solution's concentration. In high-dielectric solvents and in dilute solutions, weak electrostatic forces keep ions apart. However, in low-dielectric solvents or concentrated solutions, stronger interionic forces may cause ions to pair up as ionic doublets despite being fully ionized. The theory of strong...
Kohlraush’s Law and its Applications01:29

Kohlraush’s Law and its Applications

Kohlrausch's law explains that at infinite dilution, where dissociation is complete, each ion's contribution to the conductivity of the electrolyte is independent of the nature of other ions present in the solution. It also implies that when an electrolyte is highly diluted, the conductance of the electrolyte is the sum of the individual conductances of the ions it generates upon dissociation. The quantity of electricity an ion carries is proportional to its molar ionic conductance, which...
Electrolytes: van't Hoff Factor03:08

Electrolytes: van't Hoff Factor

Colligative Properties of ElectrolytesThe colligative properties of a solution depend only on the number, not on the identity, of solute species dissolved. The concentration terms in the equations for various colligative properties (freezing point depression, boiling point elevation, osmotic pressure) pertain to all solute species present in the solution. Nonelectrolytes dissolve physically without dissociation or any other accompanying process. Each molecule that dissolves yields one dissolved...
Electrophoresis: Overview01:20

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Electrophoresis is a powerful analytical separation technique that relies on the differential migration of charged species when subjected to an electric field. The core strength of electrophoresis lies in its ability to separate high-molecular-weight species in complex mixtures. It has found widespread use in biochemistry, molecular biology, and analytical chemistry, allowing the separation of compounds like amino acids, nucleotides, carbohydrates, and proteins with excellent resolution.
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Transport Number01:31

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The transport number is the fraction of the total current carried by an ion in an electrolyte solution. It is defined as the ratio of the current carried by a specific ion to the total current flowing through the solution. The transport number, t, is central to understanding ionic mobility, which describes how fast an ion moves under the influence of an electric field. This link connects the physical behavior of ions in solution to the chemical processes that occur during electrochemical...

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On-chip Isotachophoresis for Separation of Ions and Purification of Nucleic Acids
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Conductivity and electrophoretic mobility of dilute ionic solutions.

Stuart Allison1, Hengfu Wu, Umar Twahir

  • 1Department of Chemistry, Georgia State University, Atlanta, GA 30302-4098, USA.

Journal of Colloid and Interface Science
|September 3, 2010
PubMed
Summary

Two electrokinetic transport theories, the "small ion" and "large ion" models, accurately predict electrolyte solution conductances. Modifications to the "large ion" model improve its applicability, showing both theories perform comparably for KCl, MgCl(2), and LaCl(3) solutions.

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Area of Science:

  • Physical Chemistry
  • Electrochemistry
  • Continuum Mechanics

Background:

  • Continuum theories describe electrokinetic transport, crucial for understanding electrolyte behavior.
  • The equivalent conductance of electrolyte solutions is a key property influenced by ion interactions and movement.
  • Existing models, like the "small ion" and "large ion" theories, offer different approaches to explaining these phenomena.

Purpose of the Study:

  • To compare the predictive accuracy of the "small ion" and "large ion" continuum theories for electrolyte equivalent conductance.
  • To generalize the "large ion" model by incorporating ion exclusion and Brownian motion effects.
  • To investigate the impact of hydrodynamic boundary conditions ("stick" vs. "slip") within the "large ion" model.

Main Methods:

  • Application of the "small ion" model (Fuoss and Onsager, 1957) and the "large ion" model (O'Brien and White, 1978).
  • Generalization of the "large ion" model to include ion exclusion distance and approximate Brownian motion.
  • Modification of the "large ion" model to accommodate "slip" hydrodynamic boundary conditions alongside the standard "stick" condition.
  • Testing both models against experimental equivalent conductance data for dilute KCl, MgCl(2), and LaCl(3) solutions.

Main Results:

  • Both the "small ion" and "large ion" models successfully reproduced experimental conductances for KCl, MgCl(2), and LaCl(3) solutions within tenths of a percent accuracy.
  • The generalized "large ion" model, including ion exclusion and Brownian motion, maintained high accuracy.
  • Both "stick-large ion" and "slip-large ion" models demonstrated equal capability in accounting for the observed equivalent conductances.
  • Despite theoretical differences, the models showed comparable practical performance in this application.

Conclusions:

  • Both "small ion" and "large ion" continuum theories provide accurate predictions of electrolyte equivalent conductance.
  • The "large ion" model is versatile and can be effectively extended to include more complex physical phenomena like ion exclusion and Brownian motion.
  • Hydrodynamic boundary conditions ("stick" and "slip") do not significantly differentiate the models' ability to predict equivalent conductance in these dilute electrolyte solutions.
  • The choice between these theoretical frameworks may depend on specific application needs, as both demonstrate robust predictive power for dilute electrolyte systems.