An emergency oxygen supply system for use on aircraft in the event of a loss in cabin pressure is configured for delivering allotments of oxygen and timing the delivery such allotments to each passenger so as maximize the efficiency of the transfer of such oxygen into the passenger's bloodstream. The delivery of each allotment is selected so that the entire allotment is available for inhalation into the region of the lung most efficient at oxygen transfer while the volume of the allotment is selected to substantially coincide with the volume of such region of the lung.