A pressure sealing apparatus includes a hermetically sealable bag having an exit valve that allows air to exit the bag once sealed, and which prevents air from entering the bag. An item placed in the bag is vacuum sealed in the bag by the pressure sealing apparatus. The bag can be placed in, or integrally formed with a pressure container. The pressure container includes an exit port through which the exit valve passes, and is also sealed so that the interior of the pressure container can be pressurized. When pressurized, the pressure in the pressure container acts on the bag to squeeze air out of the bag through the exit valve, thereby vacuum sealing the item in the hermetically sealable bag.