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Zorluk: OrtaPharmacological and Parenteral Therapies

A nurse is preparing to administer a continuous intravenous infusion of dobutamine to a client with severe heart failure. The healthcare provider prescribes dobutamine at 5 mcg/kg/min5\text{ mcg/kg/min}. The client weighs 176 lbs176\text{ lbs}. The pharmacy supplies a premixed intravenous bag containing 500 mg500\text{ mg} of dobutamine in 250 mL250\text{ mL} of 5% dextrose in water5\%\text{ dextrose in water} (D5WD_5W). What rate, in mL/hr\text{mL/hr}, should the nurse program into the infusion pump to deliver the prescribed dose?

  1. 12 mL/hr12\text{ mL/hr}Cevap
  2. B
    24 mL/hr24\text{ mL/hr}
  3. C
    26.4 mL/hr26.4\text{ mL/hr}
  4. D
    48 mL/hr48\text{ mL/hr}

Cevap

The correct infusion rate is 12 mL/hr.
To calculate the correct infusion rate, the nurse must first convert the client's weight to kilograms (176÷2.2=80 kg176 \div 2.2 = 80\text{ kg}). Next, the per-minute dose is calculated (80 kg×5 mcg/kg/min=400 mcg/min80\text{ kg} \times 5\text{ mcg/kg/min} = 400\text{ mcg/min}) and converted to an hourly rate (400×60=24,000 mcg/hr400 \times 60 = 24,000\text{ mcg/hr}). Since the bag is labeled in milligrams, micrograms must be converted to milligrams (24,000÷1,000=24 mg/hr24,000 \div 1,000 = 24\text{ mg/hr}). The concentration of the intravenous bag is 2 mg/mL2\text{ mg/mL} (500 mg÷250 mL500\text{ mg} \div 250\text{ mL}). Dividing the hourly dose by the concentration yields the final pump rate (24 mg/hr÷2 mg/mL=12 mL/hr24\text{ mg/hr} \div 2\text{ mg/mL} = 12\text{ mL/hr}).

Adım Adım Çözüm

1
Convert the client's weight from pounds to kilograms.
176 lbs÷2.2 lbs/kg=80 kg176\text{ lbs} \div 2.2\text{ lbs/kg} = 80\text{ kg}
The medication is prescribed based on kilograms of body weight.
2
Calculate the total prescribed dose per minute.
80 kg×5 mcg/kg/min=400 mcg/min80\text{ kg} \times 5\text{ mcg/kg/min} = 400\text{ mcg/min}
To determine the exact amount of medication the client requires each minute.
3
Convert the per-minute dose to an hourly dose.
400 mcg/min×60 min/hr=24,000 mcg/hr400\text{ mcg/min} \times 60\text{ min/hr} = 24,000\text{ mcg/hr}
Infusion pumps are programmed in mL per hour, requiring the dose to be on an hourly basis.
4
Convert micrograms (mcg) to milligrams (mg).
24,000 mcg/hr÷1,000 mcg/mg=24 mg/hr24,000\text{ mcg/hr} \div 1,000\text{ mcg/mg} = 24\text{ mg/hr}
The supplied medication is measured in milligrams, so the units must match before calculating volume.
5
Determine the medication concentration.
500 mg÷250 mL=2 mg/mL500\text{ mg} \div 250\text{ mL} = 2\text{ mg/mL}
To find out how many milligrams are in each milliliter of the intravenous fluid.
6
Calculate the final infusion rate in mL/hr.
24 mg/hr÷2 mg/mL=12 mL/hr24\text{ mg/hr} \div 2\text{ mg/mL} = 12\text{ mL/hr}
Dividing the required hourly dose by the concentration provides the volume to be infused per hour.

Anahtar Kavram

Weight-based intravenous medication dosage calculation
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