CHEN 3101 Lecture Notes - Lecture 16: In C, Materiel
25 Dec 2014
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Recap: change upon addition of i @ constant t + p. A property is additive if total = (unmixed pure) e. g. if v(mixture) = inivi(t,p) Today: additivity of partial molars (not the same as the addivive thing we said just before, generalized gibbs-duhem relation, binary tangent construction. For any extensive property you can write the total. Note: not the same as naiive addativity naive addativity means. Add all components in proportion to amt present. Alternatively, we could expand (t, p, n1, , nc) in terms of partial derivative. Chen thermo page 3 this is the proof. Theorem: for any extensive property (t, p, {n}) subject to an arbitrary infinitesimal change. N1 --> n1 + dn1 why are t and p given as examples? they are intensive. Chen thermo page 5 for a pure material: (c = 1, = g) Proof: consider an arbitrary infinitesimal change in , by 2 methods --> compare them.
