The energy equation for mixtures can be written for polymers in the form: By analogy to the

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The energy equation for mixtures can be written for polymers in the form:U-Uig RT  Nu; RT ...Na Naf- 2 Amr dr

By analogy to the development of the Scatchard-Hildebrand theory, this can be rearranged to:U-Uig URI -  NaNa V RT 2RTZ.

where

Ndi = degree of polymerization for the ith component

ρ = molar density

xi = mole fraction of the ith component

NA =­ Avogadro¡¦s number

U = molar internal energy.

aii* = 3 + 2/Ndi

aij* = aii* ajj*)1/2

σij= (σi+ σi)/2

εij = (εii εjj)1/2

Derive an expression for ln γ1 for the activity coefficient model presented above.

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