Related Experiment Video
Updated: Jun 27, 2026

08:51
Monitoring Protein Adsorption with Solid-state Nanopores
Published on: December 2, 2011
Effect of adsorption on the surface tensions of solid-fluid interfaces
1Thermodynamics and Kinetics Laboratory, Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, Canada M5S 3G8. ward@mie.utoronto.ca
The Journal of Physical Chemistry. B
|March 29, 2007
Summary
A new method uses adsorption isotherms to calculate solid surface tensions. This approach accurately determines solid-vapor and solid-liquid surface tensions, providing a reliable material property.
Area of Science:
- Surface science
- Physical chemistry
- Materials science
Background:
- Determining surface tension in solid-liquid or solid-vapor systems is crucial for understanding material properties.
- Existing thermodynamic models often require complex experimental setups or assumptions.
- A simplified yet accurate method for surface tension determination is needed.
Purpose of the Study:
- To propose a novel method for calculating surface tensions of solids in contact with liquids or vapors.
- To develop an equilibrium adsorption isotherm relation that avoids unphysical predictions at saturation vapor pressure.
- To validate the method by determining the surface tension of solids in the absence of adsorption (gamma[1](S0)).
Main Methods:
- Integrating an equilibrium adsorption isotherm with Gibbsian thermodynamics to derive surface tension expressions.
- Formulating a new isotherm relation that behaves correctly at saturation vapor pressure.
- Testing the isotherm relation on five literature solid-vapor systems.
- Determining the solid surface tension in the absence of adsorption (gamma[1](S0)) by analyzing adsorption data from multiple vapors on the same solid.
Main Results:
- The proposed method successfully derives expressions for solid-vapor (gamma[1](SV)) and solid-liquid (gamma[1](SL)) surface tensions.
- The new isotherm relation accurately describes experimental data for five different solid-vapor systems.
- Consistent values for the solid surface tension in the absence of adsorption (gamma[1](S0)) were obtained using different vapors (benzene and n-hexane) on graphitized carbon.
Conclusions:
- The integration of adsorption isotherms with Gibbsian thermodynamics offers a robust method for surface tension determination.
- The developed isotherm relation provides a physically meaningful description of adsorption phenomena.
- The ability to determine gamma[1](S0) as a consistent material property validates the proposed thermodynamic framework.
Related Concept Videos
Surface Tension, Capillary Action, and Viscosity
Surface Tension
The various IMFs between identical molecules of a substance are examples of cohesive forces. The molecules within a liquid are surrounded by other molecules and are attracted equally in all directions by the cohesive forces within the liquid. However, the molecules on the surface of a liquid are attracted only by about one-half as many molecules. Because of the unbalanced molecular attractions on the surface molecules, liquids contract to form a shape that minimizes the number...
The various IMFs between identical molecules of a substance are examples of cohesive forces. The molecules within a liquid are surrounded by other molecules and are attracted equally in all directions by the cohesive forces within the liquid. However, the molecules on the surface of a liquid are attracted only by about one-half as many molecules. Because of the unbalanced molecular attractions on the surface molecules, liquids contract to form a shape that minimizes the number...
Surface Tension and Surface Energy
When a paint brush is immersed in water, the bristles wave freely inside the water. When it is taken out, the bristles stick together. The reason behind this effect is surface tension.
Consider a beaker filled with liquid. The bulk molecules in the liquid experience equal attractive forces on all sides with the surrounding molecules. However, the surface molecules experience a net attractive force downward due to the bulk molecules. The surface of the liquid behaves like a stretched membrane,...
Consider a beaker filled with liquid. The bulk molecules in the liquid experience equal attractive forces on all sides with the surrounding molecules. However, the surface molecules experience a net attractive force downward due to the bulk molecules. The surface of the liquid behaves like a stretched membrane,...
Surface Tension
Surface tension is defined as the force per unit length (γ) acting along the surface of a liquid. It arises due to strong intermolecular forces of attraction. A molecule located inside the bulk of the liquid is surrounded by other molecules and experiences equal forces in all directions. However, a molecule at the surface experiences unbalanced forces because there are more neighboring molecules below than above. This creates a net inward force that pulls surface molecules toward the interior,...
Adsorption of Gases on Solids
Adsorption is a process where molecules, known as the adsorbates, accumulate on a surface, which is referred to as the adsorbent or substrate. Occurring at the solid-gas interface, this phenomenon is crucial in various scientific and industrial contexts. The reverse of adsorption is desorption.Two types of adsorptions exist: physical (physisorption) and chemical (chemisorption). Physisorption involves gas molecules held to the solid's surface by relatively weak intermolecular van der Waals...
Adsorption Isotherms I
Adsorption isotherms are mathematical models that describe how molecules in a gas or liquid phase interact with surfaces. Two of the most common isotherm models are the Langmuir and Freundlich isotherms, which relate to Type I monolayer chemisorption. The Langmuir model is based on four key assumptions:• Adsorption cannot exceed monolayer coverage.• All surface sites are equivalent.• Molecules adsorb only at vacant sites.• There are no interactions between adsorbed molecules.Consider the...
Surface Tension of Fluid
Surface tension is a fundamental property of fluids, occurring at the boundary between a liquid and a gas or between two immiscible liquids. This phenomenon arises from the cohesive forces between molecules at the fluid's surface, creating an effect similar to a stretched elastic membrane. Inside each fluid, molecules are equally attracted in all directions by neighboring molecules, but surface molecules experience a net inward force, resulting in surface tension.
Surface tension varies with...
Surface tension varies with...

