Polymer volume swelling vs weight gain

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The discussion centers on the relationship between volume swelling and weight gain in crosslinked polymers when immersed in a solvent. It questions whether the volume swell ratio can be simply calculated using the formula (delta V) = (delta w)/density. The conservation of mass is emphasized, noting that the new polymer mass becomes Wp + w. Additionally, the new polymer volume is expressed as Vp + w/rho_s. Understanding these relationships is crucial for accurately predicting polymer behavior in solvent environments.
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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