A parenteral fluid administration set includes a non-vented adapter having a frusto-conically shaped recess therein for removably engaging the tapered tip of a vented container. The adapter includes a bore therethrough communicating with the recess. A drip chamber having an upper portion with a conduit therethrough and a flexible transparent body portion extending downwardly from the upper portion and terminating in a lower end, is provided. The upper portion of the drip chamber is connected to the adapter so that the bore and the conduit are in fluid communication. A flexible tube includes a first end connected to the lower end of the body portion of the drip chamber and a second end. Fluid delivery means for facilitating the delivery of parenteral fluid from the tube to the patient is connected to the second end of the tube.
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