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10_Polymer_Physics_03

# 10_Polymer_Physics_03 - 3.2 Thermodynamics of Polymer...

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3.2 Thermodynamics of Polymer Solutions Why are polymer solutions important? Molecular characterization Media for polymerization Polymer processing (fibers, blends) Polymer application (paints, adhesives) Excepted from Prof. E Kumacheva Notes Will a given polymer dissolve in a particular solvent? Will a given polymer mix with another polymer?

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1. Thermodynamics of ideal solution 1 Thermodynamics Ù statistical mechanics S= k ln Ω where Ω = # of equivalent states = # of ways of arranging molecules
N 1 = # of solvent molecules (O) N 2 = # of solute molecules ( z ) N = N 1 + N 2 = total # of lattice cells ! ! ! 2 1 N N N = Ω 1) (N ln ! ln ion, approximat stirling ! ln ! ln ! ln ln 2 1 >> = = Ω N N N N N N N + + + = + + = = Ω 2 1 2 2 2 1 1 1 2 2 2 1 1 1 2 1 ln ln ln ln ln ! ln ! ln ! ln ln N N N N N N N N N N N N N N-N-N N N N N += 2. Entropy of Mixing (Ligand Lattice Theory)

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() 2 2 1 1 2 1 2 2 2 1 1 1 ln ln ln ln - solute) pure ( ln ) solvent pure ( ln ) solution ( ln X n X n R S N N N N N N N N k k k k S mix mix + = Δ + + + = Ω Ω Ω = Δ R=gas constant, n 1
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10_Polymer_Physics_03 - 3.2 Thermodynamics of Polymer...

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