An electrochemical cell with a vent assembly that reliably prevents resealing of a vented seal member is provided. The vent assembly seals the end of a container that includes a first electrode, a second electrode, a separator located between the first and second electrodes and an electrolyte in contact with the electrodes and separator. The seal member includes a diaphragm with a hinge along one edge and a vent along another edge. The hinge and vent are located so that, relative to the longitudinal axis of the vent assembly, the hinge is closer to the vent than to the cell's terminal cover.