Question

Difficulty: MediumPharmacological and Parenteral Therapies

A nurse in the intensive care unit is preparing to initiate a continuous intravenous (IV) infusion of norepinephrine for a client experiencing severe hypotension. The prescribed dose is 0.06 mcg/kg/min0.06\text{ mcg/kg/min}. The client weighs 78 kg78\text{ kg}. The pharmacy provides a prediluted IV bag containing 8 mg8\text{ mg} of norepinephrine in 250 mL250\text{ mL} of 5%5\% dextrose in water (D5WD_5W).

At what rate, in mL/hr\text{mL/hr}, should the nurse program the infusion pump? (Record your answer using one decimal place.)

Answer: 8.8 mL/hr

Answer

8.8
To safely administer a weight-based continuous IV infusion, the exact hourly dose must be determined (280.8 mcg/hr280.8\text{ mcg/hr}) and divided by the concentration of the supplied solution (32 mcg/mL32\text{ mcg/mL}). The raw quotient of 8.775 mL/hr8.775\text{ mL/hr} is then rounded to the nearest tenth, resulting in the correct pump setting of 8.8 mL/hr8.8\text{ mL/hr}.

Step-by-Step Solution

1
Calculate the required mcg per minute based on the client's weight.
4.68 mcg/min4.68\text{ mcg/min}
Weight-based dosing requires multiplying the prescribed rate by the client's total body weight in kilograms.
2
Convert the per-minute dose to an hourly dose.
280.8 mcg/hr280.8\text{ mcg/hr}
Infusion pumps are programmed in mL per hour, requiring the medication dose to first be converted to an hourly rate.
3
Determine the concentration of the supplied IV solution in mcg/mL.
32 mcg/mL32\text{ mcg/mL}
The prescription is in micrograms, but the medication is supplied in milligrams. Converting 8 mg8\text{ mg} to 8,000 mcg8,000\text{ mcg} and dividing by the 250 mL250\text{ mL} volume determines the specific unit concentration.
4
Calculate the exact fluid volume per hour required.
8.775 mL/hr8.775\text{ mL/hr}
Dividing the total hourly dose by the concentration yields the total fluid volume needed per hour.
5
Round the final result to one decimal place.
8.8 mL/hr8.8\text{ mL/hr}
The prompt explicitly instructs to record the answer using one decimal place.

Key Concept

Weight-based continuous intravenous infusion calculations
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