Question

Difficulty: HardPharmacological and Parenteral Therapies

To ensure medication safety, a nurse is performing an independent double-check of a milrinone infusion for a client with acute decompensated heart failure. The client weighs 80 kg80 \text{ kg}. The infusion pump is currently delivering the medication at a rate of 15 mL/hr15 \text{ mL/hr}. The available medication is a premixed bag containing 20 mg20 \text{ mg} of milrinone in 100 mL100 \text{ mL} of 0.9% sodium chloride.

Calculate the dose the client is receiving in mcg/kg/min\text{mcg/kg/min}. Record your answer to the nearest hundredth.

Answer: 0.63 mcg/kg/min

Answer

0.63
To determine the weight-based dosage from a known infusion rate, multiple conversions must occur. First, the concentration of the milrinone solution is 0.2 mg/mL0.2 \text{ mg/mL}, which converts to 200 mcg/mL200 \text{ mcg/mL}. At a rate of 15 mL/hr15 \text{ mL/hr}, the client receives 3,000 mcg/hr3,000 \text{ mcg/hr}. Dividing by 60 min/hr60 \text{ min/hr} reveals the client receives 50 mcg/min50 \text{ mcg/min}. Finally, dividing the total minute dose by the client's 80 kg80 \text{ kg} weight yields 0.625 mcg/kg/min0.625 \text{ mcg/kg/min}. Standard rounding rules require rounding 0.6250.625 up to 0.630.63.

Step-by-Step Solution

1
Determine the concentration of milrinone in mg/mL.
20 mg÷100 mL=0.2 mg/mL20 \text{ mg} \div 100 \text{ mL} = 0.2 \text{ mg/mL}
Establishing the concentration is the first step to finding out how much medication is in each milliliter of fluid.
2
Convert the concentration from milligrams (mg) to micrograms (mcg).
0.2 mg/mL×1,000 mcg/mg=200 mcg/mL0.2 \text{ mg/mL} \times 1,000 \text{ mcg/mg} = 200 \text{ mcg/mL}
The final requested unit is in micrograms, so the concentration must be converted appropriately.
3
Calculate the total dose delivered per hour.
15 mL/hr×200 mcg/mL=3,000 mcg/hr15 \text{ mL/hr} \times 200 \text{ mcg/mL} = 3,000 \text{ mcg/hr}
Multiplying the pump rate by the concentration yields the total hourly dose.
4
Calculate the total dose delivered per minute.
3,000 mcg/hr÷60 min/hr=50 mcg/min3,000 \text{ mcg/hr} \div 60 \text{ min/hr} = 50 \text{ mcg/min}
The final requested unit is per minute, requiring conversion from the hourly dose.
5
Calculate the weight-based dose.
50 mcg/min÷80 kg=0.625 mcg/kg/min50 \text{ mcg/min} \div 80 \text{ kg} = 0.625 \text{ mcg/kg/min}
Dividing the total minute dose by the client's weight provides the exact dose being administered.
6
Round the calculated dose to the nearest hundredth.
0.630.63
The question specifies rounding to two decimal places (the nearest hundredth).

Key Concept

Weight-based reverse dosage calculation for continuous intravenous infusions.
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