Problem 2.37 (Schroeder’s Intro to Thermal Physics)

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in Schroeder’s TP Solutions

Problem 2.37

Using the same method as in the text, calculate the entropy of mixing for a system of two monatomic ideal gases, $A$ and $B$ , whose relative proportion is arbitrary. Let $N$ be the total number of molecules and let $x$ be the fraction of these that are of species $B$ . You should find

$\Delta S_{mixing}=-Nk[x \ln{x}+(1-x) \ln{(1-x)}]$

Check that this expression reduces to the one given in the text when $x = 1/2.$

Solution:

Problem 2.37 Solution (Download)

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