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Solution Equilibrium and Saturation01:59

Solution Equilibrium and Saturation

Imagine adding a small amount of sugar to a glass of water, stirring until all the sugar has dissolved, and then adding a bit more. You can repeat this process until the sugar concentration of the solution reaches its natural limit, a limit determined primarily by the relative strengths of the solute-solute, solute-solvent, and solvent-solvent attractive forces. You can be certain that you have reached this limit because, no matter how long you stir the solution, undissolved sugar remains. The...
Chemical and Solubility Equilibria02:21

Chemical and Solubility Equilibria

The free energy change associated with dissolving a solute in a liter of solvent is called the free energy of a solution, ΔGsolution. The overall ΔGsolution is expressed as the balance of ΔGinteraction against the always-favorable free-energy of mixing, ΔGmixing. Solution formation is favorable if  ΔGsolution is less than zero, whereas it is unfavorable if ΔGsolution is greater than zero. In short, for a solution to form and complete dissolution to take place, the Gibbs energy change must be...
Unsoundness of Aggregate due to Volume Change01:26

Unsoundness of Aggregate due to Volume Change

Unsoundness in aggregates due to volume changes is primarily caused by the physical alterations aggregates undergo, such as freezing and thawing, thermal changes, and wetting and drying. Unsound aggregates, when subjected to these changes, result in volume change upon disintegration. This, in turn, contributes to the deterioration of concrete, including scaling, pop-outs, and cracking. Particular types of aggregates, such as porous flints, cherts, and those containing clay minerals, are...
Alternative Sets of Equilibrium Equations01:31

Alternative Sets of Equilibrium Equations

When analyzing the behavior of structures, engineers often rely on the concept of equilibrium. This refers to the state where all forces and moments acting on a system balance each other, resulting in no net movement or rotation. In many cases, equilibrium can be described by a set of standard equations. However, in some situations, alternative sets of equilibrium equations must be used to describe the system's behavior accurately.
One example of such a situation can be observed in a...
Stability of Equilibrium Configuration: Problem Solving01:13

Stability of Equilibrium Configuration: Problem Solving

The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
Problem-solving in the context of the stability of equilibrium configuration...
Solubility Equilibria: Overview01:09

Solubility Equilibria: Overview

When a substance such as sodium chloride is added to water, it dissolves, forming an aqueous solution. The extent of dissolution is called solubility. The process of dissolution can exist in equilibrium, just like other chemical processes. Solubility equilibria are also called precipitation equilibria because the process of solubility can be reversible. The reverse of the solubility process is called precipitation.
Solubility is important in biological and environmental processes. A notable...

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Related Experiment Video

Updated: Jun 22, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

On equilibrium solutions of aggregation-fragmentation problems.

R Dennis Vigil1

  • 1Department of Chemical & Biological Engineering, 2114 Sweeney Hall, Iowa State University, Ames, IA 50011-2230, USA. vigil@iastate.edu

Journal of Colloid and Interface Science
|May 30, 2009
PubMed
Summary
This summary is machine-generated.

Particulate systems can reach equilibrium, forming stable particle size distributions. This study details the conditions for equilibrium and shows rate kernels are determined by monomer reactions, simplifying future modeling.

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Laboratory Drop Towers for the Experimental Simulation of Dust-aggregate Collisions in the Early Solar System
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Laboratory Drop Towers for the Experimental Simulation of Dust-aggregate Collisions in the Early Solar System

Published on: June 5, 2014

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Last Updated: Jun 22, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

Laboratory Drop Towers for the Experimental Simulation of Dust-aggregate Collisions in the Early Solar System
09:44

Laboratory Drop Towers for the Experimental Simulation of Dust-aggregate Collisions in the Early Solar System

Published on: June 5, 2014

Area of Science:

  • Physical Chemistry
  • Chemical Engineering
  • Materials Science

Background:

  • Particulate systems exhibit complex dynamics due to aggregation and breakage.
  • Non-trivial steady-state particle size distributions arise from the competition between these processes.
  • Equilibrium solutions are a subset of these steady states, satisfying detailed balance conditions.

Purpose of the Study:

  • To elaborate the conditions for aggregation and fragmentation rate kernels that lead to equilibrium solutions.
  • To demonstrate that these rate kernels are uniquely determined by monomer reaction constants.
  • To explore the implications for inferring rate kernels and constructing them using atomistic simulations.

Main Methods:

  • Analysis of detailed balance conditions in particulate systems.
  • Derivation of relationships between rate kernels and rate constants for monomer reactions.
  • Exploration of implications for computational modeling.

Main Results:

  • Conditions for equilibrium solutions in particulate systems were identified.
  • Aggregation and fragmentation rate kernels are uniquely determined by monomer reaction constants.
  • A significant reduction in information is needed to infer general rate kernels for equilibrium systems.

Conclusions:

  • Equilibrium in particulate systems is achievable and predictable.
  • Understanding monomer reaction kinetics is key to defining system-wide aggregation and breakage behavior.
  • Atomistic simulations can be leveraged to construct accurate rate kernels for equilibrium particulate systems.