Surgical and medical apparatus, instruments, equipment and accessories for use in the administration of medical fluids, namely, medical fluid connectors for use in the administration of medical fluids, drug infusion connectors for use in the administration of medical fluids, medical infusion bags for use in storing medical fluids for administration, medical vial access adapters for use in piercing septa of closed medical vials to permit access to the vial's contents, needle free connectors for use in the administration of medical fluids, medical fluid valves for use in the administration of medical fluids, closed male Luer connectors for use in the administration of medical fluids, priming caps for priming medical devices used in the administration of medical fluids, female caps for use in protecting medical devices from contamination, medical tubing for use in conducting medical fluids to patients, drug infusion adapters for use in providing interconnection between containers or other types of medical devices that are incompatible with each other, needle free valve ports for use in the administration of medical fluids, needle free adapters for use in the administration of medical fluids, medical fluid injection ports for use in the administration of medical fluids, medical fluid containers for use in storing medical fluids for administration, medical syringes for storing and administering medical fluids, drip chambers for use in administering medical fluids, medical fluid adapters for use in providing interconnection between containers or other types of medical devices that are incompatible with each other, and medical fluid administration sets comprising medical delivery tubing, medical fluid connectors, medical fluid adapters, needle free medical connectors, medical valve ports, and medical valves