Relating Radius r and Number of G-mers g for Thermodynamics

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SUMMARY

The discussion focuses on the relationship between the radius (r) of a droplet and the number of G-mers (g) in the context of thermodynamics, specifically regarding evaporation and condensation rates. The equation derived, g*m=4(pi)r^3*rho, establishes a connection between these variables. However, confusion arises when attempting to define the evaporation rate (E) in relation to the condensation rate (C) at the critical radius (r*), indicating that further clarification is needed to differentiate these rates across the graph.

PREREQUISITES
  • Understanding of thermodynamics principles related to phase changes.
  • Familiarity with the concept of G-mers in droplet dynamics.
  • Knowledge of mathematical relationships involving volume and density.
  • Basic graphing skills to visualize evaporation and condensation rates.
NEXT STEPS
  • Research the mathematical models for evaporation and condensation in thermodynamics.
  • Explore the role of critical radius (r*) in droplet dynamics.
  • Investigate the implications of G-mer interactions on droplet behavior.
  • Learn about the statistical mechanics underlying phase transitions in thermodynamic systems.
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Students in thermodynamics courses, researchers studying droplet dynamics, and anyone interested in the mathematical modeling of phase changes in fluids.

yukikokami
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for my thermodynamics class we have a question where we need to graph the evaporation and condensation rates as functions of g, the number of g-mers in our droplet of radius r. but condensation and evaporation are given in terms of r... is there an equation to relate r and g?

i've looked online and found nothing, nor is it in our notes.

cheers!
 
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hokay, so, we found that g*m=4(pi)r^3*rho.

but now we realized that our E is just C* (the condensation rate at the critical radius r*). which can't be right because that's the same equation as C... we know they aren't equal throughout the entire graph because then every g would produce an r*.

so what's E?
 

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