Silver-air batteries are famous for having high capacity and low discharge rates -- you may have the same problem with these.  You'd at least have to make sure to arrange ventilation for more than just cooling.

Someone who has recently taken high-school chemistry could Wiki the number of electrons in a Coulomb, the number of atoms in a mole, and the concentration of oxygen in the air, and come up with the volume of air that you'd need to supply to the battery to make it work -- it'd be comparable to the air intake on an engine, I would imagine.