The mcg/kg/minute the client is receiving is 4.923 mcg/kg/min
The number of mcg/kg/minute = flow rate × concentration ÷ mass of client
Flow rate = 12 ml/hour = 12 ml/hour × 1 hr/60 min = 0.2 ml/min
Concentration = mass of dopamine/volume
where
Concentration = 400 mg/250 ml
= 1.6 mg/ml
= 1.6 mg/ml × 1000 mcg/mg
= 1600 mcg/ml
mass of client = 65 kg
So, substituting the variables into the equation, we have
mcg/kg/minute = flow rate × concentration ÷ mass of client
mcg/kg/minute = 0.2 ml/min × 1600 mcg/ml ÷ 65 kg
mcg/kg/minute = 320 mcg/min ÷ 65 kg
mcg/kg/minute = 4.923 mcg/kg/min
The mcg/kg/minute the client is receiving is 4.923 mcg/kg/min
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