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Zorluk: OrtaPharmacological and Parenteral Therapies

A client presenting with a hypertensive emergency requires a continuous intravenous (IV) infusion of sodium nitroprusside. The client weighs 187 lb187\text{ lb}. The healthcare provider prescribes the infusion to begin at a rate of 3 mcg/kg/min3\text{ mcg/kg/min}. The pharmacy dispenses a premixed bag containing 50 mg50\text{ mg} of sodium nitroprusside in 250 mL250\text{ mL} of 5%5\% dextrose in water (D5WD5W). At what rate in mL/hr\text{mL/hr} should the nurse set the IV infusion pump? (Record your answer to the nearest tenth.)

Cevap: 76.5 mL/hr

Cevap

76.5
The correct rate is exactly 76.5 mL/hr76.5\text{ mL/hr}. This is achieved by systematically aligning the units of measurement: changing weight to kg\text{kg}, converting the dose interval from minutes to hours, converting the supplied drug mass from mg\text{mg} to mcg\text{mcg}, and then dividing the hourly requirement by the concentration.

Adım Adım Çözüm

1
Convert weight from pounds to kilograms.
187 lb÷2.2 lb/kg=85 kg187\text{ lb} \div 2.2\text{ lb/kg} = 85\text{ kg}
Weight-based dosing algorithms require the client's weight to be in metric units.
2
Calculate the prescribed medication dose per minute.
85 kg×3 mcg/kg/min=255 mcg/min85\text{ kg} \times 3\text{ mcg/kg/min} = 255\text{ mcg/min}
This establishes the exact amount of active drug the client must receive every minute based on the provider's prescription.
3
Convert the minute dose to an hourly dose.
255 mcg/min×60 min/hr=15,300 mcg/hr255\text{ mcg/min} \times 60\text{ min/hr} = 15,300\text{ mcg/hr}
Standard IV infusion pumps are programmed to deliver fluids at an hourly rate (mL/hr\text{mL/hr}), so the required drug amount must match this timeframe.
4
Determine the concentration of the supplied medication in mcg/mL\text{mcg/mL}.
50 mg×1,000 mcg/mg=50,000 mcg50\text{ mg} \times 1,000\text{ mcg/mg} = 50,000\text{ mcg}; then 50,000 mcg÷250 mL=200 mcg/mL50,000\text{ mcg} \div 250\text{ mL} = 200\text{ mcg/mL}
To calculate the volume required, the units of the supplied medication must be identical to the units of the prescribed dose (micrograms).
5
Calculate the final infusion pump rate in mL/hr\text{mL/hr}.
15,300 mcg/hr÷200 mcg/mL=76.5 mL/hr15,300\text{ mcg/hr} \div 200\text{ mcg/mL} = 76.5\text{ mL/hr}
Dividing the total required hourly dose by the concentration per milliliter provides the final fluid volume to be infused over one hour.

Anahtar Kavram

Weight-Based Continuous IV Medication Dosing
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