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S = k ln W : ln : From Both Multiplicity and Integral ?

  1. Jan 17, 2012 #1

    morrobay

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    Can the natural logarithm in the statistical mechanics formulation of entropy , S = k ln W be based on both multiplicity and an integral ? The extensive property and multiplicity explanation : That for any given macrostate , the total entropy of two interacting
    systems is the sum of their individual entropies:
    Stotal = k ln( WA WB)
    = k ln WA + k ln WB = SA + SB
    For the natural logarithm to be based on the integral : x1 to x2 1/x dx = ln x2/x1
    That the thermodynamic entropy is based on : delta Q /T = n R ln v2/v1
    http://www.eoht.info/page/S+=+k+ln+W on page 2 of this link
    W2/W1 = v2/v1 are equated. In a physical chemistry text delta S = k ln W2/W1
    So is this term , ln W2/W1, the property of the integral : from W1 to W2 dw/1/W ?
     
    Last edited: Jan 18, 2012
  2. jcsd
  3. Jan 20, 2012 #2

    morrobay

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