An adult weighing 176\text{ lb} requires vasopressor support for septic shock. The critica… — NCLEX-RN

An adult weighing $176\text{ lb}$ requires vasopressor support for septic shock. The critical care provider prescribes a norepinephrine infusion to begin at $0.05\text{ mcg/kg/min}$ . The available IV bag contains $4\text{ mg}$ of norepinephrine mixed in $250\text{ mL}$ of $5\%$ dextrose in water (D5W). At how many $\text{mL/hr}$ will the infusion pump run? Record your answer using a whole number.

Cevap: 15 mL/hr

Cevap

To determine the correct IV pump rate for a weight-based continuous infusion, dimensional analysis or step-by-step conversion must be utilized. First, the client's weight is converted to kilograms (

176 \div 2.2 = 80\text{ kg}

). The ordered dose (

0.05\text{ mcg/kg/min}

) is multiplied by the weight to find the per-minute dose (

4\text{ mcg/min}

). Because IV pumps run in hours, this is multiplied by

60

to find the hourly dose (

240\text{ mcg/hr}

). Next, the concentration of the IV bag is determined by converting the supply to micrograms (

4\text{ mg} = 4000\text{ mcg}

) and dividing by the volume (

4000\text{ mcg} \div 250\text{ mL} = 16\text{ mcg/mL}

). Finally, the required hourly dose is divided by the concentration (

240 \div 16 = 15\text{ mL/hr}

Adım Adım Çözüm

Convert weight from pounds to kilograms by dividing by 2.2.

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

Weight-based dosing formulas require the client's mass in kilograms.

Calculate the per-minute medication dose.

0.05\text{ mcg/kg/min} \times 80\text{ kg} = 4\text{ mcg/min}

This establishes the exact amount of drug the patient must receive every minute.

Convert the per-minute dose to an hourly dose.

4\text{ mcg/min} \times 60\text{ min/hr} = 240\text{ mcg/hr}

Infusion pumps are programmed in mL/hr, so the dose must be scaled to an hourly rate.

Standardize units by converting the total milligrams of norepinephrine to micrograms.

4\text{ mg} \times 1000\text{ mcg/mg} = 4000\text{ mcg}

The prescribed dose is in micrograms, so the available supply must be converted to the same unit to calculate concentration.

Calculate the drug concentration per milliliter of IV fluid.

4000\text{ mcg} \div 250\text{ mL} = 16\text{ mcg/mL}

This determines how much drug is delivered in every 1 mL of fluid.

Calculate the final infusion pump rate.

240\text{ mcg/hr} \div 16\text{ mcg/mL} = 15\text{ mL/hr}

Dividing the hourly dose by the concentration yields the required fluid volume per hour.

Anahtar Kavram

Weight-based continuous IV medication titration and dosage calculation.

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