Understanding Fick's Second Law: Concentration Changes Over Time

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SUMMARY

Fick's Second Law of Diffusion describes how concentration changes over time, specifically through the relationship between concentration gradients and time. The discussion clarifies that deriving the second law from the first law involves not only taking the partial derivative with respect to spatial variable x but also applying the principle of conservation of mass. This foundational concept is crucial for understanding diffusion processes in various scientific fields.

PREREQUISITES
  • Understanding of Fick's First Law of Diffusion
  • Knowledge of partial derivatives in calculus
  • Familiarity with the principle of conservation of mass
  • Basic concepts of concentration and diffusion in physical sciences
NEXT STEPS
  • Study the derivation of Fick's Second Law from Fick's First Law
  • Explore applications of Fick's laws in chemical engineering
  • Learn about diffusion coefficients and their significance in material science
  • Investigate numerical methods for solving diffusion equations
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Students and professionals in physics, chemistry, and engineering who are studying diffusion processes and their mathematical foundations.

member 392791
Hello,

I read on wikipedia that the second law represents how concentration changes with time, but I was wondering how taking the partial derivative with respect to x of the first law will give change in concentration with time?
 
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