CHEN 3101 Lecture Notes - Lecture 16: Paga, Retta, Freezing-Point Depression

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25 Dec 2014
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If you have a dilute solution solute (2) Lattice model (even though molecules don"t really live on lattice w/ discrete set of sites) Chen thermo page 1 no 2 molecules occupy same site (not a problem for dilute) same as ideal gas model. N2 = x2n = # solute in solution. N1 = n - n2 = # solvent sites (or empty) omega = {# ways to choose solute positions} # of states = higher if think of it as distinguishable (permutation) lower if indistinguishable (combinations) N choices for 1st molecule you put in. N1 + 1 choices for last molecule you put in. (distinguishable) = (n - 1) (n1 + 1) you have n2 factors in this where n1 = n - n2. In limit x2 << 1 (dilute), ignore the possibility of double occupation. But this overcounts states that differ only in assignment of labels. These are really indistinguishable if don"t take that into account, get nonsensical answers.

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