# Convert mL/hr to mcg/kg/min

## Formulas

First, determine the dosage given milligrams/hour (mg/hr).

$\frac{R×A}{V}$
• R = Rate
• A = Dose available
• V = Volume of dose available

Next, convert dosage from mg/hr to microgram/kilogram/minute (mcg/kg/min).

$\frac{D×\mathrm{1000 mg}}{\left(60 min×W\right)}$
• D = Dose (mg)
• W = Weight in kilograms (kg)

## Example

You have received a patient from another hospital on a dopamine drip except no information was given about it.  The bag is labeled with a concentration of 800 mg in 500 mL of D5W.  The IV pump is infusing at  53 mL/hr and the patient weighs 70 kg.  How much dopamine is this patient receiving?

First, determine the dosage given mg/hr.

• Rate = 53 mL
• Dose available = 800 mg
• Volume of dose available = 500 mL
$\frac{\mathrm{53 mL}×\mathrm{800 mg}}{\mathrm{500 mL}}$

This patient's dopamine dosage is 84.8 mg/hr. Next, convert dosage from 84.8 mg/hr to mcg/kg/min.

• Dose (mg) = 84.8 mg
• Weight in kilograms (kg) = 70 kg
$\frac{\mathrm{84.8 mg}×\mathrm{1000 mg}}{\left(60 min×\mathrm{70 kg}\right)}$

This patient's dopamine dosage is 20.19 mcg/kg/min.