Liquid Collision Rate: Estimating Molecular Flux

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SUMMARY

The discussion focuses on estimating the molecular flux in a liquid, defined as the rate of collisions per unit area with a surface. The user seeks to derive an expression for the collision rate involving a cluster of n molecules over an area A. The inquiry suggests that the area swept by molecules in the liquid per unit time is crucial for this calculation. Reference is made to a resource discussing gas properties, indicating potential similarities in the mathematical approach.

PREREQUISITES
  • Kinetic theory of liquids
  • Understanding of molecular dynamics
  • Basic principles of collision theory
  • Familiarity with mathematical modeling in physics
NEXT STEPS
  • Study the derivation of molecular flux in liquids
  • Explore collision theory in detail
  • Review the mathematical models presented in the provided gas properties lecture notes
  • Investigate the differences between gas and liquid molecular dynamics
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Researchers in physical chemistry, physicists studying molecular interactions, and students exploring kinetic theory and fluid dynamics.

aaaa202
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In kinetic theory a liquid is viewed as an incompressible substance in which the atoms are free to move. I would like to know how to find an expression for the molecular flux in a liquid. By molecular flux I mean the collisions per unit area, where collision refers not to the collision between individual molecules but to the collision with a general surface.
I hope that was understandable, but just to make sure I will elaborate. I want to find the rate at which a molecule hits a cluster of n molecules of area A, so to do that I will somehow need to estimate what area is swept over by the molecules in the liquid per unit time.
 
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