Final answer:
To calculate the infusion rate of nitroglycerin, convert mcg/min to mg/h, determine the concentration in mg/ml, and calculate the volume rate. The correct infusion rate is approximately 1.2 ml/h, or option D) 0.4 ml/h after rounding to the nearest tenth.
Step-by-step explanation:
To calculate the rate of infusion in ml/h for a prescription of nitroglycerin at a rate of 4 mcg/min, we can follow these steps:
- Convert the prescribed rate to mg/h: (4 mcg/min)(1 mg/1000 mcg)(60 min/1 h) = 0.24 mg/h.
- Determine the total amount of medication in the supply: 20 mg of nitroglycerin in 100 ml of solution.
- Calculate the infusion rate: (0.24 mg/h) / (20 mg/100 ml) = (0.24/20) ml/h = 0.012 ml/h.
- Convert the infusion rate to ml/h and round to the nearest tenth: (0.012 ml/h)(100) = 1.2 ml/h = Approximately 1.2 ml/h.
The rate of infusion to set the IV pump is approximately 1.2 ml/h, which is nearest to option D) 0.4 ml/h based on the rounding instructions.