Polymer volume swelling vs weight gain

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SUMMARY

The discussion centers on the relationship between volume swelling and weight gain in crosslinked polymers when immersed in a solvent. It establishes that the volume change (delta V) can be calculated using the formula (delta V) = (delta w)/density, where density is defined as the mass of the solvent divided by its volume. The key variables involved include the initial polymer volume (Vp), initial polymer weight (Wp), solvent volume (Vs), solvent weight (Ws), and their respective densities (rho_p and rho_s).

PREREQUISITES
  • Understanding of crosslinked polymer chemistry
  • Knowledge of density calculations in physical chemistry
  • Familiarity with mass conservation principles
  • Basic concepts of solvent interactions with polymers
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Orionabc
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Does the volume swell ratio relate to the weight gain when a crosslinked polymer is emersed in a solvent? Is it as simple as calculating (delta V) = (delta w)/density?
 
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What is the density equal to?

You have a polymer with Vp, Wp, and rho_p, and a solvent with Vs, Ws, and rho_s

When the polymer absorbes some solvent of mass w, the polymer mass is equal to Wp+w (since mass is conserved).
About the new polymer volume, you could say that it is equal to Vp+w/rho_s
 

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