  The entropy per baryon is studied in the strong coupling large dimension $d$
limit of lattice QCD with staggered fermions. The partition function is
calculated for non-zero chemical potential and temperature using the $1/d$
expansion. It is found that the entropy per baryon ratio is almost continuous
across the transition from the the quark-gluon to the hadronic phase. The
relevance of these results for heavy ion collisions is discussed.
