What is the hourly dose in mg/hr for a weight-based order of 5 mcg/kg/min for a 70 kg patient, with a concentration of 800 mg in 250 mL?

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Multiple Choice

What is the hourly dose in mg/hr for a weight-based order of 5 mcg/kg/min for a 70 kg patient, with a concentration of 800 mg in 250 mL?

Explanation:
This tests turning a weight-based infusion rate into an hourly dose and recognizing when the solution’s concentration isn’t needed for mg/hr. First, multiply the rate by body weight to get the dose per minute: 5 mcg/kg/min × 70 kg = 350 mcg/min. Then convert to per hour: 350 mcg/min × 60 min/hr = 21,000 mcg/hr, which is 21 mg/hr. The concentration (800 mg in 250 mL) would come into play if you needed the infusion rate in mL/hr, since that’s 800 mg/250 mL = 3.2 mg/mL, so 21 mg/hr would be 21 ÷ 3.2 ≈ 6.56 mL/hr. But for mg/hr, the value is simply 21 mg/hr.

This tests turning a weight-based infusion rate into an hourly dose and recognizing when the solution’s concentration isn’t needed for mg/hr.

First, multiply the rate by body weight to get the dose per minute: 5 mcg/kg/min × 70 kg = 350 mcg/min. Then convert to per hour: 350 mcg/min × 60 min/hr = 21,000 mcg/hr, which is 21 mg/hr.

The concentration (800 mg in 250 mL) would come into play if you needed the infusion rate in mL/hr, since that’s 800 mg/250 mL = 3.2 mg/mL, so 21 mg/hr would be 21 ÷ 3.2 ≈ 6.56 mL/hr. But for mg/hr, the value is simply 21 mg/hr.

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