A patient weighs 30 kg; dose is 0.8 mg/kg/hr; what is mg/hr?

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Multiple Choice

A patient weighs 30 kg; dose is 0.8 mg/kg/hr; what is mg/hr?

Explanation:
To convert a dose given per kilogram per hour into a total hourly dose, multiply by the patient’s weight in kilograms. Here, 0.8 mg/kg/hr times 30 kg equals 24 mg/hr. The units line up because mg/kg × kg cancels the kilograms, leaving mg/hr. This matches the idea that you give 0.8 mg for each kilogram every hour, and for a 30 kg patient that’s 0.8 × 30 = 24 mg per hour. The other numbers would imply lower per-kilogram rates (e.g., 12 mg/hr would be 0.4 mg/kg/hr, 6 mg/hr would be 0.2 mg/kg/hr, 8 mg/hr would be about 0.2667 mg/kg/hr), so they don’t fit the given dose.

To convert a dose given per kilogram per hour into a total hourly dose, multiply by the patient’s weight in kilograms. Here, 0.8 mg/kg/hr times 30 kg equals 24 mg/hr. The units line up because mg/kg × kg cancels the kilograms, leaving mg/hr. This matches the idea that you give 0.8 mg for each kilogram every hour, and for a 30 kg patient that’s 0.8 × 30 = 24 mg per hour. The other numbers would imply lower per-kilogram rates (e.g., 12 mg/hr would be 0.4 mg/kg/hr, 6 mg/hr would be 0.2 mg/kg/hr, 8 mg/hr would be about 0.2667 mg/kg/hr), so they don’t fit the given dose.

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