Question

Difficulty: HardPharmacological and Parenteral Therapies

An intensive care nurse assumes care for a client admitted with acute decompensated heart failure. The client, who weighs 176 lb, has a continuous intravenous line infusing dopamine. The medication bag is labeled: dopamine 400 mg in 250 mL of 5% dextrose in water. The smart pump displays a current infusion rate of 15 mL/hr. Based on this data, what dosage of dopamine is the client receiving in mcg/kg/min? Record your answer as a whole number.

Answer: 5 mcg/kg/min

Answer

5
To determine the exact mcg/kg/min dose from a known mL/hr rate, the nurse must work backward through standard infusion calculations. First, convert the weight to kilograms (176 ÷ 2.2 = 80 kg) and find the bag's concentration in mcg/mL (400,000 mcg ÷ 250 mL = 1,600 mcg/mL). Next, determine the hourly dose in mcg by multiplying the volume rate by the concentration (15 mL/hr × 1,600 mcg/mL = 24,000 mcg/hr). Convert this to a per-minute dose by dividing by 60 (24,000 ÷ 60 = 400 mcg/min). Finally, divide by the client's weight in kg to find the exact dose being delivered (400 ÷ 80 = 5 mcg/kg/min).

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
176 lb ÷ 2.2 lb/kg = 80 kg
Weight-based dosing requires the client's weight to be expressed in kilograms.
2
Determine the concentration of the dopamine solution in mcg/mL.
400 mg = 400,000 mcg. Then, 400,000 mcg ÷ 250 mL = 1,600 mcg/mL.
The final requested unit is in micrograms (mcg), so the total medication amount must be converted from milligrams to micrograms before determining the per-mL concentration.
3
Calculate the total amount of dopamine infusing per hour.
15 mL/hr × 1,600 mcg/mL = 24,000 mcg/hr
Multiplying the current pump volume rate by the concentration yields the total hourly dose.
4
Convert the hourly dose to a per-minute dose.
24,000 mcg/hr ÷ 60 min/hr = 400 mcg/min
The requested administration rate is per minute, necessitating the division of the hourly rate by 60.
5
Calculate the final dose in mcg/kg/min.
400 mcg/min ÷ 80 kg = 5 mcg/kg/min
Dividing the total minute dose by the client's weight in kilograms provides the precise weight-based dosage currently being delivered.

Key Concept

Weight-based continuous intravenous infusion calculation (reverse calculation from mL/hr to mcg/kg/min)
Rate this question