A client admitted with cardiogenic shock requires hemodynamic support. The healthcare prov… — NCLEX-RN

A client admitted with cardiogenic shock requires hemodynamic support. The healthcare provider orders an intravenous infusion of dopamine at a rate of $5 \text{ mcg/kg/min}$ . The client's admission weight is $176 \text{ lbs}$ . The pharmacy dispenses a premixed bag containing $400 \text{ mg}$ of dopamine in $250 \text{ mL}$ of $0.9\%$ sodium chloride. At how many $\text{mL/hr}$ should the nurse program the infusion pump? (Record answer as a whole number.)

Cevap: 15 mL/hr

Cevap

To find the correct infusion rate, first convert the client's weight to kilograms (

176 \div 2.2 = 80 \text{ kg}

). Calculate the dose per minute:

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

. Convert to an hourly dose:

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

. Find the concentration of the IV bag:

400 \text{ mg}

400,000 \text{ mcg}

;

400,000 \text{ mcg} \div 250 \text{ mL} = 1,600 \text{ mcg/mL}

. Finally, divide the hourly dose by the concentration to determine the pump rate:

24,000 \text{ mcg} \div 1,600 \text{ mcg/mL} = 15 \text{ mL/hr}

Adım Adım Çözüm

Convert the client's weight from pounds to kilograms.

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

The prescribed dose is weight-based in kg, so the weight must be converted first.

Calculate the total dose required per minute.

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

This establishes the exact amount of medication the client needs every minute.

Convert the minute dose to an hourly dose.

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

Infusion pumps are programmed in mL/hr, so the dose must be expressed per hour.

Determine the concentration of the available medication in mcg/mL.

400 \text{ mg} = 400,000 \text{ mcg}

. Then,

400,000 \text{ mcg} \div 250 \text{ mL} = 1,600 \text{ mcg/mL}

The dose is in mcg, so the medication concentration must also be in mcg to calculate the volume.

Calculate the final infusion rate in mL/hr.

24,000 \text{ mcg/hr} \div 1,600 \text{ mcg/mL} = 15 \text{ mL/hr}

Dividing the hourly dose by the concentration yields the volume needed per hour.

Anahtar Kavram

Weight-based continuous intravenous infusion calculations (mcg/kg/min to mL/hr)

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