Question

Difficulty: HardPharmacological and Parenteral Therapies

A client diagnosed with septic shock is admitted to the intensive care unit and remains profoundly hypotensive despite adequate fluid resuscitation. The healthcare provider orders a continuous intravenous infusion of norepinephrine. The client's weight is 198 lb198\text{ lb}. The order indicates starting the infusion at 0.1 mcg/kg/min0.1\text{ mcg/kg/min}. The medication arrives from the pharmacy as a premixed solution containing 8 mg8\text{ mg} of norepinephrine in 250 mL250\text{ mL} of 5% dextrose in water (D5W\text{D}_5\text{W}). At what rate should the nurse program the infusion pump? Record your answer in mL/hr\text{mL/hr} rounded to the nearest tenth.

Answer: 16.9 mL/hr

Answer

16.9
The correct pump rate is found by converting the client's weight to kilograms, finding the total hourly dose in micrograms (540 mcg/hr540\text{ mcg/hr}), and dividing that by the concentration of the IV solution (32 mcg/mL32\text{ mcg/mL}), which yields 16.87516.875, rounded to 16.9 mL/hr16.9\text{ mL/hr}.

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
198÷2.2=90 kg198 \div 2.2 = 90\text{ kg}
The prescribed medication dosage is based on the client's weight in kilograms.
2
Calculate the required medication dose per minute.
90 kg×0.1 mcg/kg/min=9 mcg/min90\text{ kg} \times 0.1\text{ mcg/kg/min} = 9\text{ mcg/min}
To determine the total amount of medication the client must receive every minute based on their weight.
3
Convert the per-minute dose to an hourly dose.
9 mcg/min×60 min/hr=540 mcg/hr9\text{ mcg/min} \times 60\text{ min/hr} = 540\text{ mcg/hr}
Intravenous infusion pumps are programmed in milliliters per hour, so the dose must be calculated over an hour.
4
Determine the concentration of the intravenous solution in micrograms per milliliter.
8 mg×1000=8000 mcg8\text{ mg} \times 1000 = 8000\text{ mcg}; 8000 mcg÷250 mL=32 mcg/mL8000\text{ mcg} \div 250\text{ mL} = 32\text{ mcg/mL}
To align the units of the prescribed dose (micrograms) with the available concentration.
5
Calculate the final infusion pump rate in milliliters per hour.
540 mcg/hr÷32 mcg/mL=16.875 mL/hr540\text{ mcg/hr} \div 32\text{ mcg/mL} = 16.875\text{ mL/hr}
Dividing the hourly dose by the concentration provides the volume of fluid to be infused per hour.
6
Round the final answer to the nearest tenth.
16.9 mL/hr16.9\text{ mL/hr}
This is standard clinical practice and matches the specific instruction in the question.

Key Concept

Weight-based critical care intravenous medication rate calculation
Rate this question