Dobutamine 250 mg in 250 mL D5W at 34 mL/hr via IV pump. The patient weighs 190 pounds. How many mcg/kg/min is the patient receiving?
Dobutamine is available in 250mg in 250ml = 1mg in 1ml
The patient is getting 34ml/hour = 34mg/hour (as 1mg = 1ml)
34mg/hour = 34mg/60min
The dose that the patient is getting per minute is 34/60 = 0.56mg/min
0.56mg = 560mcg (multiply by 1000 in order to convert mg to mcg)
So the patient is getting 560mcg/min
The patient's weight = 190 pounds = 86kg
In order to find out the dose per kilogram, divide the dose by the weight.
ie, 560/86 = 6.5
Therefore the patient is receiving 6.5mcg/kg/min
In order to confirm this answer, simplify it. ie, 6.5 x 86(patient's weight) x 60min = 33540mcg
33540mcg = 33.54 mg (divide by 1000 to convert mcg to mg)
33.54 = 34mg = 34ml (1mg = 1ml) which is the dose the patient is getting now.
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