A bag assembly (100) capable of withstanding sterilization by gamma irradiation. The bag (100) includes two walls, each wall composed of at least one sheet (176, 178) of a fluoropolymer film, and a fitment (200). The first and second walls are attached to the fitment (200) along one edge (148) of the bag assembly (100) and sealed to each other along a perimeter (142, 144, 146, 147, 149) of the bag assembly (100).