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Nonideal Two-Component Liquid Solutions01:29

Nonideal Two-Component Liquid Solutions

Nonideal liquid solutions, also known as real solutions, do not strictly follow Raoult's law. Raoult's law is a rule of thumb in physical chemistry. However, not all mixtures adhere to this law due to varying molecular interactions. For example, in an acetone/chloroform solution, the individual vapor pressures of the components are lower than expected, resulting in a total vapor pressure below that predicted by Raoult's law, causing a negative deviation.On the other hand, in an ethanol/water...
Two Components: Liquid–Liquid Systems01:27

Two Components: Liquid–Liquid Systems

A pressure-composition phase diagram explicitly describes the behavior of an ideal solution of two volatile liquids under varying pressures and compositions. A pressure-composition diagram has two main curves. The bubble point curve represents the plot of pressure versus liquid mole fraction. It indicates the pressure at which the first bubble of vapor forms from the liquid phase as the system pressure decreases.The dew point curve is the pressure versus vapor mole fraction. It indicates the...
Ideal Solutions02:24

Ideal Solutions

According to Raoult’s law, the partial vapor pressure of a solvent in a solution is equal or identical to the vapor pressure of the pure solvent multiplied by its mole fraction in the solution. However, Raoult's Law is only valid for ideal solutions. For a solution to be ideal, the solvent-solute interaction must be just as strong as a solvent-solvent or solute-solute interaction. This suggests that both the solute and the solvent would use the same amount of energy to escape to the vapor phase...
Surface Tension of Fluid01:22

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...
Solubility03:00

Solubility

Solution, Solubility, and Solubility Equilibrium
A solution is a homogeneous mixture composed of a solvent, the major component, and a solute, the minor component. The physical state of a solution—solid, liquid, or gas—is typically the same as that of the solvent. Solute concentrations are often described with qualitative terms such as dilute (of relatively low concentration) and concentrated (of relatively high concentration).
In a solution, the solute particles (molecules, atoms, and/or ions)...
Liquid–Solid Solutions01:29

Liquid–Solid Solutions

The process of a solid dissolving in a liquid to form a solution is governed by the solubility limit, which is the maximum amount of the solid substance, or solute, that can be dissolved in a specific volume of the liquid or solvent. As the solute dissolves, it reaches a point where no more solute can be dissolved at a given temperature - this is known as the saturation point. However, if further solute is added and it manages to dissolve, the solution becomes supersaturated. Supersaturated...

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Related Experiment Video

Updated: Jun 23, 2026

Taking Advantage of Reduced Droplet-surface Interaction to Optimize Transport of Bioanalytes in Digital Microfluidics
07:57

Taking Advantage of Reduced Droplet-surface Interaction to Optimize Transport of Bioanalytes in Digital Microfluidics

Published on: November 10, 2014

Analytical solutions for partially wetting two-dimensional droplets.

J M Gomba1, G M Homsy

  • 1Department of Mechanical Engineering, University of California, Santa Barbara, California 93106-5070, USA. jgomba@engineering.ucsb.edu

Langmuir : the ACS Journal of Surfaces and Colloids
|May 14, 2009
PubMed
Summary

This study provides a new analytical solution for droplet shape on a substrate, considering intermolecular forces and thin film interactions. The findings offer precise predictions for droplet geometry and contact angles in various applications.

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Last Updated: Jun 23, 2026

Taking Advantage of Reduced Droplet-surface Interaction to Optimize Transport of Bioanalytes in Digital Microfluidics
07:57

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Published on: November 10, 2014

High Throughput Analysis of Liquid Droplet Impacts
09:00

High Throughput Analysis of Liquid Droplet Impacts

Published on: March 6, 2020

Film Control to Study Contributions of Waves to Droplet Impact Dynamics on Thin Flowing Liquid Films
07:08

Film Control to Study Contributions of Waves to Droplet Impact Dynamics on Thin Flowing Liquid Films

Published on: August 18, 2018

Area of Science:

  • Physics
  • Surface Science
  • Fluid Dynamics

Background:

  • Understanding droplet behavior on solid substrates is crucial in fields like microfluidics and materials science.
  • Existing models often simplify complex interactions at the contact line, limiting predictive accuracy.

Purpose of the Study:

  • To develop a novel analytical solution for the static shape of a 2D droplet in equilibrium with a thin film on a substrate.
  • To incorporate capillarity and disjoining-conjoining pressure, accounting for solid-liquid intermolecular forces.
  • To analyze the impact of droplet size on apparent contact angle and compare derived profiles with existing approximations.

Main Methods:

  • Derivation of analytical solutions for droplet shape, cross-sectional area, half-width, maximum curvature, and inflection points.
  • Inclusion of disjoining-conjoining pressure to model intermolecular forces.
  • Analysis of droplet size effects on apparent contact angle and comparison with literature approximations.

Main Results:

  • New analytical solutions for static droplet shape and related geometric parameters.
  • Quantification of the influence of intermolecular forces and thin film pressure on droplet morphology.
  • Identification of discrepancies between new solutions and previous approximations in the contact line region.

Conclusions:

  • The developed analytical model provides a more accurate description of droplet static shapes under realistic physical conditions.
  • The study highlights the importance of considering intermolecular forces and thin film effects for precise droplet profile prediction.
  • The findings offer valuable insights for designing and controlling processes involving liquid droplets on solid surfaces.