  We derive the equilibrium conditions for a thermal atom-molecule mixture near
a Feshbach resonance. Under the assumption of low collisional loss,
thermodynamical properties are calculated and compared to the measurements of a
recent experiment on fermionic lithium experiment. We discuss and evaluate
possible collision mechanisms which can lead to atom-molecule conversion.
Finally, we propose a novel evaporative cooling scheme to efficiently cool the
molecules toward Bose-Einstein condensation.
