  We examine five different popular rigid water models (SPC, SPCE, TIP3P, TIP4P
and TIP5P) using MD simulations in order to investigate the hydrophobic
hydration and interaction of apolar Lennard-Jones solutes as a function of
temperature in the range between $275 {K}$ and $375 {K}$. For all investigated
models and state points we calculate the excess chemical potential for the
noble gases and Methane.All water models exhibit too small hydration entropies,
but show a clear hierarchy. TIP3P shows poorest agreement with experiment
whereas TIP5P is closest to the experimental data at lower temperatures and
SPCE is closest at higher temperatures. A rescaling procedure inspired by
information theory model of Hummer et al. ({\em Chem.Phys.}258, 349-370 (2000))
suggests that the differences between the different models and real water can
be explained on the basis of the density curves at constant pressure. In
addition, the models that give a good representation of the water structure at
ambient conditions (TIP5P, SPCE and TIP4P) show considerably better agreement
with the experimental data than SPC and TIP3P. We calculate the hydrophobic
interaction between Xenon particles directly from a series of 60 ns simulation
runs.We find that the temperature dependence of the association is related to
the strength of the solvation entropy. Nevertheless, differences between the
models seem to require a more detailed molecular picture.The TIP5P model shows
by far the strongest temperature dependence.The suggested density-rescaling is
also applied to the Xenon-Xenon contact-pair configuration, indicating the
presence of a temperature where the hydrophobic interaction turns into purely
repulsive.The predicted association for Xenon in real water suggest the
presence a strong variation with temperature.
