The healthcare provider prescribes a continuous intravenous infusion of sodium nitroprussi… — NCLEX-RN

The healthcare provider prescribes a continuous intravenous infusion of sodium nitroprusside at a rate of $3 \text{ mcg/kg/min}$ for a client experiencing a hypertensive crisis. The client weighs $198 \text{ lbs}$ . The medication is supplied as $50 \text{ mg}$ of sodium nitroprusside mixed in $250 \text{ mL}$ of 5% dextrose in water (D5W). What is the appropriate infusion rate in $\text{mL/hr}$ ? (Record your answer as a whole number.)

Cevap: 81 mL/hr

Cevap

To safely program an electronic infusion pump for a continuous weight-based medication, a multi-step dimensional analysis is required. First, determine the client's weight in kilograms (

198 \text{ lbs} \div 2.2 = 90 \text{ kg}

). Next, find the dose per minute (

3 \text{ mcg} \times 90 \text{ kg} = 270 \text{ mcg/min}

). Because infusion pumps run on hourly rates, multiply by

60

to find the hourly dose (

270 \text{ mcg/min} \times 60 \text{ min/hr} = 16,200 \text{ mcg/hr}

). Then, find the concentration of the IV bag by converting milligrams to micrograms (

50 \text{ mg} = 50,000 \text{ mcg}

) and dividing by the total volume (

50,000 \text{ mcg} \div 250 \text{ mL} = 200 \text{ mcg/mL}

). Finally, divide the hourly dose by the concentration (

16,200 \text{ mcg/hr} \div 200 \text{ mcg/mL}

) to arrive at

81 \text{ mL/hr}

Adım Adım Çözüm

Convert the client's weight from pounds to kilograms.

90 \text{ kg}

Intravenous medication protocols requiring weight-based dosing use the metric system.

Calculate the total dose per minute based on the client's weight.

270 \text{ mcg/min}

This establishes the exact amount of medication the client needs every minute to achieve the prescribed

3 \text{ mcg/kg/min}

Convert the minute dose to an hourly dose.

16,200 \text{ mcg/hr}

Electronic infusion pumps are programmed in milliliters per hour, requiring the medication dose to be converted into an hourly timeframe.

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

200 \text{ mcg/mL}

Since the dose is in micrograms and the supply is in milligrams, converting

50 \text{ mg}

50,000 \text{ mcg}

and dividing by the

250 \text{ mL}

bag volume provides a compatible concentration metric.

Calculate the final infusion pump rate.

81 \text{ mL/hr}

Dividing the hourly dose by the concentration determines the precise fluid volume needed each hour to deliver the medication.

Anahtar Kavram

Weight-Based Intravenous Continuous Infusion Calculation

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