The Near Immiscibility of Polymer Blends

We have a debt left over from Section 4.7 we have not yet proved that, if contact between monomers of types A and S in a polymer /polymer B blend is even slightly energetically unfavorable, phase separation into almost pure A and B phases will occur. Now, at last, we are equipped with all we need to prove this. 

In the first case, the answer is obvious. There are V possibilities for each molecule. (Let s assume that N V, and neglect the excluded volume of the molecules.) Therefore, the total number of conformations is V.  

This proves that the number of conformations is much less, and therefore the entropy is much lower for the polymer S5 tem. 

Clearly, for large N, this value is really very low. 

His kingdom was very smaii, but stiii quite iarge enough to marry upon. 

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