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

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The discussion centers on the relationship between the radius of a droplet (r) and the number of G-mers (g) in the context of thermodynamics, specifically regarding evaporation and condensation rates. A key equation identified is g*m=4(pi)r^3*rho, which relates g to r. However, confusion arises as the condensation rate (C) is equated to the evaporation rate (E) at the critical radius (r*), leading to the realization that this cannot hold true across the entire graph. The participants are seeking a clearer understanding of how to accurately express E in relation to g and r. The need for a definitive equation to connect these variables remains unresolved.
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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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