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Related Concept Videos

Solubility Equilibria: Overview01:09

Solubility Equilibria: Overview

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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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Solvating Effects02:12

Solvating Effects

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An understanding of the solvating effect helps rationalize the relation between solvation and acidity of the compound. In addition, this also explains the relative stability of conjugate bases for compounds with different pKa values. This lesson details, in-depth, the principle of solvating effects. The strength of an acid and the stability of its corresponding conjugate base are determined using pKa values. This observed relationship is a consequence of solvation, which is the interaction...
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Solubility Equilibria03:07

Solubility Equilibria

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Solubility equilibria are established when the dissolution and precipitation of a solute species occur at equal rates. These equilibria underlie many natural and technological processes, ranging from tooth decay to water purification. An understanding of the factors affecting compound solubility is, therefore, essential to the effective management of these processes. This section applies previously introduced equilibrium concepts and tools to systems involving dissolution and precipitation.
The...
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Solubility03:00

Solubility

17.6K
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,...
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Solubility of Ionic Compounds02:55

Solubility of Ionic Compounds

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Solubility is the measure of the maximum amount of solute that can be dissolved in a given quantity of solvent at a given temperature and pressure. Solubility is usually measured in molarity (M) or moles per liter (mol/L). A compound is termed soluble if it dissolves in water.
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Factors Affecting Solubility04:01

Factors Affecting Solubility

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Compared with pure water, the solubility of an ionic compound is less in aqueous solutions containing a common ion (one also produced by dissolution of the ionic compound). This is an example of a phenomenon known as the common ion effect, which is a consequence of the law of mass action that may be explained using Le Chȃtelier’s principle. Consider the dissolution of silver iodide:
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Development of a Solvability Map.

Gengsheng L Zeng1,2

  • 1Department Computer Science, Utah Valley University, Orem, UT 84058, USA.

Medical Research Archives
|April 17, 2023
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Summary
This summary is machine-generated.

This study introduces a practical image solvability map to assess image reconstruction quality. This Monte Carlo approach overcomes limitations of traditional methods for non-standard scanning geometries.

Keywords:
Biomedical imagingComputed TomographyComputer simulationsImage reconstructionInternal problemInverse problemMonte Carlo

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Area of Science:

  • Medical Imaging
  • Computational Science

Background:

  • Image reconstruction quality is crucial, especially with non-standard scanning geometries.
  • Traditional methods using condition numbers or Moore-Penrose pseudo-inverse via SVD are memory-intensive and don't guarantee solution quality.

Purpose of the Study:

  • To develop a practical method for evaluating image reconstruction solvability.
  • To provide a location-specific measure of reconstruction error for any algorithm.

Main Methods:

  • A Monte Carlo approach using numerous computer-simulated random phantoms.
  • Generation of an image solvability map indicating reconstruction errors at each location.

Main Results:

  • The proposed image solvability map offers a practical alternative to traditional matrix-based methods.
  • It provides a reliable assessment of reconstruction quality without requiring excessive computer memory.

Conclusions:

  • The image solvability map is a valuable tool for assessing image reconstruction feasibility.
  • This method enhances the practicality of image reconstruction, particularly in complex scanning scenarios.