Final answer:
To administer 1,500 mL of an IV solution over 12 hours using an administration set calibrated at 15 gtt/mL, the infusion rate should be set to approximately 31.25 gtt/min.
Step-by-step explanation:
The student asks about calculating the infusion rate for an intravenous (IV) administered solution over a 12-hour period using an administration set calibrated at 15 gtt/mL. To determine the infusion rate, we need to use the formula:
Infusion rate (gtt/min) = (Volume (mL) × drop factor (gtt/mL)) / Infusion time (min)
Firstly, transform the infusion time from hours to minutes:
12 hours × 60 minutes/hour = 720 minutes
Then plug in the values to find the infusion rate:
(1500 mL × 15 gtt/mL) / 720 minutes = 31.25 gtt/min
Therefore, the IV solution should be administered at an infusion rate of approximately 31.25 gtt/min.