HI among a Set of M Identical Spherical, Nonpolar Solute Particles

HI among a Set of M Identical Spherical, Nonpolar Solute Particles 

Consider the work required to bring M solute particles which, for simplicity, are presumed to be spherical, from infinite separation to the final configuration R  

The splitting in (8.63) into direct and indirect work follows directly from the statistical mechanical expression for namely 

The integrations in (8.65) extend over all the configurations of the solvent particles hence, we can rewrite (8.65) as 

We note again that (8.67) does not include any internal properties of the solutes or the direct interaction among the solute particles, Um(R )-Hence, we can interpret 5 (R ) as the total work required to move M sources of fields of force from the configuration R = oo to the final configuration R.  

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