  We present estimates of the critical properties, thermodynamic functions, and
principal shock Hugoniot of hot dense aluminum fluid as predicted from a
chemical model for the equation-of-state of hot dense, partially ionized and
partially degenerate plasma. The essential features of strongly coupled plasma
of metal vapors, such as multiple ionization, Coulomb interactions among
charged particles, partial degeneracy, and intensive short range hard core
repulsion are taken into consideration. Internal partition functions of
neutral, excited, and multiply ionized species are carefully evaluated in a
statistical-mechanically consistent way. Results predicted from the present
model are presented, analyzed and compared with available experimental
measurements and other predictions in the literature. A distinct feature of the
predictions of the present model is the appearance of a third kink in the
Hugoniot curve at a weaker shock strength which can be attributed to the
successive ionization of the three electrons in the M shell.
