A nurse is preparing to administer sodium nitroprusside to a client experiencing a hyperte… — NCLEX-RN

A nurse is preparing to administer sodium nitroprusside to a client experiencing a hypertensive emergency. The client weighs $78 \text{ kg}$ . The prescribed continuous intravenous infusion rate is $4 \text{ mcg/kg/min}$ . The pharmacy provides a prepared IV bag containing $50 \text{ mg}$ of sodium nitroprusside in $250 \text{ mL}$ of $5\%$ dextrose in water (D5W).

Calculate the required infusion pump rate in $\text{mL/hr}$ . (Record your answer to the nearest whole number.)

Cevap: 94 mL/hr

Cevap

To determine the correct infusion pump rate, the calculation must account for the client's weight, the desired dose per minute, the time conversion to hours, and the available concentration of the medication. The calculation requires converting the prescribed

4 \text{ mcg/kg/min}

to an hourly rate based on the

78 \text{ kg}

weight, resulting in

18,720 \text{ mcg/hr}

. The available concentration is calculated by converting

50 \text{ mg}

50,000 \text{ mcg}

and dividing by

250 \text{ mL}

, which is

200 \text{ mcg/mL}

. Dividing the hourly dose by the concentration yields the required volume of

93.6 \text{ mL/hr}

, which rounds to

94 \text{ mL/hr}

Adım Adım Çözüm

Calculate the total required dose in micrograms per minute.

4 \text{ mcg/kg/min} \times 78 \text{ kg} = 312 \text{ mcg/min}

To determine the specific amount of medication the client needs every minute based on their body weight.

Convert the required dose from micrograms per minute to micrograms per hour.

312 \text{ mcg/min} \times 60 \text{ minutes/hr} = 18,720 \text{ mcg/hr}

Infusion pumps are programmed in

\text{mL/hr}

, so the total dose required per hour must be established before finding the fluid volume.

Determine the concentration of the provided IV solution in micrograms per milliliter.

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

. Then,

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

To find out exactly how much medication is contained in a single milliliter of the provided IV fluid.

Calculate the exact infusion pump rate.

18,720 \text{ mcg/hr} \div 200 \text{ mcg/mL} = 93.6 \text{ mL/hr}

Dividing the hourly dose by the concentration yields the exact volume of fluid that must be delivered per hour.

Round the calculated infusion rate as directed in the question.

Round

93.6

to the nearest whole number, resulting in

94

The question explicitly requires the final answer to be recorded to the nearest whole number.

Anahtar Kavram

Weight-based intravenous medication dosage calculation converting mcg/kg/min to mL/hr.

Soru

Cevap

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