A client admitted with cardiogenic shock is prescribed a continuous intravenous (IV) infus… — NCLEX-RN

A client admitted with cardiogenic shock is prescribed a continuous intravenous (IV) infusion of dopamine at $5 \text{ mcg/kg/min}$ . The client weighs $176 \text{ lbs}$ . The pharmacy provides dopamine $400 \text{ mg}$ mixed in $250 \text{ mL}$ of $0.9\% \text{ NaCl}$ .

At what rate in $\text{mL/hr}$ should the nurse program the IV infusion pump? Record your answer as a whole number.

Cevap: 15 mL/hr

Cevap

The correct infusion rate is 15 mL/hr.

The correct infusion rate is

15 \text{ mL/hr}

. This is determined by first converting the client's weight to kilograms (

176 \text{ lbs} \div 2.2 = 80 \text{ kg}

). The total dose per minute is calculated (

80 \text{ kg} \times 5 \text{ mcg/kg/min} = 400 \text{ mcg/min}

) and then converted to an hourly rate (

400 \text{ mcg/min} \times 60 = 24,000 \text{ mcg/hr}

). After converting micrograms to milligrams (

24,000 \text{ mcg} = 24 \text{ mg}

), the required volume per hour is calculated using the provided medication concentration (

\frac{24 \text{ mg}}{400 \text{ mg}} \times 250 \text{ mL} = 15 \text{ mL/hr}

Adım Adım Çözüm

Convert the client's weight from pounds to kilograms.

176 \text{ lbs} \div 2.2 = 80 \text{ kg}

The medication dosage is prescribed based on kilograms (mcg/kg/min).

Calculate the total required dose per minute.

80 \text{ kg} \times 5 \text{ mcg/kg/min} = 400 \text{ mcg/min}

The prescription specifies administering 5 micrograms for every kilogram of body weight per minute.

Convert the per-minute dose to an hourly dose.

400 \text{ mcg/min} \times 60 \text{ min/hr} = 24,000 \text{ mcg/hr}

IV infusion pumps are programmed in mL/hr, requiring the calculation of the total amount of medication needed per hour.

Convert the dose from micrograms to milligrams to match the medication concentration.

24,000 \text{ mcg/hr} \div 1,000 = 24 \text{ mg/hr}

The available medication is supplied in milligrams, so the dose must be in the same unit before calculating volume.

Calculate the final volume rate based on the available concentration.

(\frac{24 \text{ mg/hr}}{400 \text{ mg}}) \times 250 \text{ mL} = 15 \text{ mL/hr}

This calculation determines how many mL contain the required 24 mg dose, yielding the final pump setting.

Anahtar Kavram

Weight-based continuous IV infusion rate calculation

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