The order is 0.3 mg/kg/hr. The patient weighs 60 kg. The concentration is 3 mg/mL. What is the rate in mL/hr?

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Multiple Choice

The order is 0.3 mg/kg/hr. The patient weighs 60 kg. The concentration is 3 mg/mL. What is the rate in mL/hr?

Explanation:
To convert a weight-based infusion rate to a volume per hour, multiply the prescribed mg/kg/hr by the patient’s weight to get mg per hour, then divide by the concentration (mg per mL) to get mL per hour. 0.3 mg/kg/hr × 60 kg = 18 mg/hr. 18 mg/hr ÷ 3 mg/mL = 6 mL/hr. Delivering 6 mL/hr at 3 mg/mL gives 18 mg/hr, which matches 0.3 mg/kg/hr for a 60 kg patient. For reference, 4 mL/hr would be 12 mg/hr (0.2 mg/kg/hr), 5 mL/hr would be 15 mg/hr (0.25 mg/kg/hr), and 7 mL/hr would be 21 mg/hr (0.35 mg/kg/hr).

To convert a weight-based infusion rate to a volume per hour, multiply the prescribed mg/kg/hr by the patient’s weight to get mg per hour, then divide by the concentration (mg per mL) to get mL per hour.

0.3 mg/kg/hr × 60 kg = 18 mg/hr.

18 mg/hr ÷ 3 mg/mL = 6 mL/hr.

Delivering 6 mL/hr at 3 mg/mL gives 18 mg/hr, which matches 0.3 mg/kg/hr for a 60 kg patient. For reference, 4 mL/hr would be 12 mg/hr (0.2 mg/kg/hr), 5 mL/hr would be 15 mg/hr (0.25 mg/kg/hr), and 7 mL/hr would be 21 mg/hr (0.35 mg/kg/hr).

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