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Theories of Dissolution: Diffusion Layer Model01:15

Theories of Dissolution: Diffusion Layer Model

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Dissolution, the process by which drug particles dissolve in a solvent, is explained by the diffusion layer model, a theoretical framework that simulates the absorption of oral drugs and allows us to analyze experimental data.
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...
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Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model01:09

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Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...
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Step-Growth Polymerization: Overview01:03

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Step-growth or condensation polymerization is a stepwise reaction of bi or multifunctional monomers to form long-chain polymers. As all the monomers are reactive, most of the monomers are consumed at the early stages of the reaction to form small chains of reactive oligomers, which then combine to form long polymer chains in the late stages. Hence, the reaction has to proceed for a long time to achieve high molecular weight polymers.
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Molecular Weight of Step-Growth Polymers01:08

Molecular Weight of Step-Growth Polymers

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Step growth polymerization involves bi or multifunctional monomers. Bifunctional monomers react to form linear step growth polymers, whereas multifunctional monomers react to form non-linear or branched polymers.
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Vapor Pressure Lowering03:28

Vapor Pressure Lowering

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The equilibrium vapor pressure of a liquid is the pressure exerted by its gaseous phase when vaporization and condensation are occurring at equal rates:
 
Dissolving a nonvolatile substance in volatile liquid results in a lowering of the liquid’s vapor pressure. This phenomenon can be explained by considering the effect of added solute molecules on the liquid's vaporization and condensation processes. To vaporize, solvent molecules must be present at the surface of the solution....
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Polymers: Molecular Weight Distribution01:10

Polymers: Molecular Weight Distribution

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For any given polymer, the weight average molecular weight (Mw) is higher than, if not equal to, the number average molecular weight (Mn). The only situation in which the weight average molecular weight and the number average molecular weight are equal is when a polymer consists only of chains with equal molecular weight. However, this never happens in a synthetic polymer, since it is difficult to control the polymerization process up to a molecular level with accuracy to a hundred percent.
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Related Experiment Video

Updated: May 30, 2025

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

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Diffusive evaporation dynamics in polymer solutions is ubiquitous.

Max Huisman1, Wilson C K Poon1, Patrick B Warren1,2

  • 1SUPA and School of Physics and Astronomy, The University of Edinburgh, Peter Guthrie Tait Road, Edinburgh EH9 3FD, UK. davide.marenduzzo@ed.ac.uk.

Soft Matter
|January 29, 2025
PubMed
Summary
This summary is machine-generated.

A new study reveals that polymer layers at solvent-air interfaces lead to diffusion-limited evaporation (DLE), a robust regime where evaporation rate scales with time as t^-1/2, independent of humidity.

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Area of Science:

  • Polymer physics
  • Interface science
  • Fluid dynamics

Background:

  • High-concentration polymer layers at interfaces can alter solvent evaporation.
  • Previous theory and experiments suggested a specific time-scaling for evaporation rates.

Purpose of the Study:

  • To investigate the dynamics of solvent evaporation from polymer-coated interfaces.
  • To confirm and extend understanding of diffusion-limited evaporation (DLE) regimes.
  • To explore the parameter space and dimensionality of DLE.

Main Methods:

  • Utilizing phase field modeling to simulate solvent evaporation.
  • Analyzing the dynamical state diagram of the polymer-solvent system.
  • Developing theoretical arguments for observed scaling laws.

Main Results:

  • Identified diffusion-limited evaporation (DLE) as a robust, naturally emerging regime.
  • Demonstrated that DLE evaporation rate scales as time to the power of -1/2 (t^-1/2).
  • Showed DLE is insensitive to ambient humidity and dominates the system's dynamics.

Conclusions:

  • Phase field modeling confirms DLE as a key evaporation regime.
  • The t^-1/2 scaling law is broadly applicable across various parameters.
  • DLE may also occur in two-dimensional systems, warranting further investigation.