A mean field model based on continuum representation of bulk water is
applied to the calculation of hydration entropies of nonpolar and pola
r spheres. Polar spheres were assigned charges of +/-0.5e and +/-1e. I
t is found that above the radius of similar to 3 Angstrom hydration en
tropies of nonpolar and polar spheres of similar size are identical wi
thin the accuracy of our computations. Hydration entropies are similar
for nonpolar and half-charged spheres of all radii. It is found that
the mean field model exhibits a gaslike behavior. If entropy calculati
ons are performed at constant pressure, the hydration entropy per Angs
trom(2) Of solute's accessible area does not exhibit a size dependence
and stays around 30 cal/Angstrom(2). In calculations at constant volu
me, corresponding compression entropy terms are added to the constant-
pressure results, leading to a strong size dependence. A comparison of
the results to scaled particle theory suggests that the size dependen
ce of the hydrophobic transfer energies may be closely linked to volum
e effects which can be absent or small in hydrophobic interactions.