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Diffusivity

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Advanced Chemical Engineering Science

Definition

Diffusivity is a measure of how quickly particles, such as atoms or molecules, spread out in a medium due to random motion. It plays a critical role in understanding how substances transfer across different phases and mediums, impacting processes like mass transfer and coupled transport phenomena. In applications like supercritical fluid extraction, diffusivity affects the efficiency of extracting compounds, highlighting its importance in both theoretical and practical contexts.

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5 Must Know Facts For Your Next Test

  1. Diffusivity is typically measured in units of area per time (e.g., mยฒ/s) and can vary based on factors like temperature and the properties of the medium.
  2. In coupled transport processes, diffusivity can interact with convection and thermal conduction, affecting the overall rate of transport.
  3. The effective diffusivity in porous media can differ from the bulk diffusivity due to restrictions imposed by the pore structure.
  4. In supercritical fluid extraction, diffusivity can significantly impact the rate at which solutes are extracted from solids into the supercritical fluid.
  5. Higher temperatures generally lead to increased diffusivity as particles gain kinetic energy, allowing them to move more freely.

Review Questions

  • How does diffusivity influence coupled transport processes in chemical engineering?
    • Diffusivity is a key factor in coupled transport processes because it determines the rate at which species move through different phases or mediums. In systems where mass transfer occurs alongside heat or momentum transfer, understanding diffusivity helps predict how efficiently materials will disperse and interact. This interplay is crucial for designing effective chemical processes and systems.
  • Discuss the relationship between diffusivity and mass transfer efficiency in supercritical fluid extraction.
    • In supercritical fluid extraction, diffusivity directly impacts how quickly solutes can move from solid matrices into the supercritical fluid. A higher diffusivity indicates that solutes can disperse more rapidly, enhancing extraction rates and overall efficiency. This relationship is vital for optimizing extraction processes to achieve desired yields while minimizing time and resource consumption.
  • Evaluate the impact of temperature changes on diffusivity in both coupled transport processes and supercritical fluid extraction.
    • Temperature changes have a significant effect on diffusivity in both coupled transport processes and supercritical fluid extraction. As temperature increases, particles typically gain kinetic energy, resulting in higher diffusivity values. This increased diffusivity can lead to enhanced mass transfer rates in coupled transport processes and improve the efficiency of solute extraction in supercritical fluids. Understanding this temperature dependence is crucial for optimizing chemical engineering operations for desired outcomes.
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