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(adsbygoogle = window.adsbygoogle || []).push({});

systems is the sum of their individual entropies:

S_{total}= k ln( W_{A}W_{B})

= k ln W_{A}+ k ln W_{B}= S_{A}+ S_{B}

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 ?

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

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