A nurse is preparing to administer dopamine 3mcg/kg/min by continuous IV infusion to a preschooler who weighs 41.8 bs. Available is dopamine 400 mg in dextrose 596 in water (D5W) 250 mL. The nurse should set the IV pump to deliver how many ml/hr? (Round to the nearest tenth. Use a leading zero if it applies. Do not use a trailing zero.)
Explanation & Rationale
Given: Ordered dose of Dopamine: 3 mcg/kg/min Child's weight: 41.8 lbs Concentration of Dopamine: 400 mg in 250 mL D5W Step 1: Convert child's weight from pounds to kilograms: 1 pound (lb) = 0.453592 kilograms (kg) Child's weight in kg = 41.8 lbs x 0.453592 kg/lb = 18.935 kg Step 2: Calculate the total dose of Dopamine in mcg/min: Total dose (mcg/min) = Ordered dose (mcg/kg/min) x Child's weight (kg) Total dose (mcg/min) = 3 mcg/kg/min x 18.935 kg Total dose (mcg/min) = 56.805 mcg/min Step 3: Convert mcg to mg: Total dose (mg/min) = Total dose (mcg/min) / 1000 mcg/mg Total dose (mg/min) = 56.805 mcg/min / 1000 mcg/mg Total dose (mg/min) = 0.056805 mg/min Step 4: Calculate the total dose in mg/hr: Total dose (mg/hr) = Total dose (mg/min) x 60 min/hr Total dose (mg/hr) = 0.056805 mg/min x 60 min/hr Total dose (mg/hr) = 3.4083 mg/hr Step 5: Calculate the infusion rate in mL/hr: Infusion rate (mL/hr) = Total dose (mg/hr) / Concentration (mg/mL) Infusion rate (mL/hr) = 3.4083 mg/hr / (400 mg/250 mL) Infusion rate (mL/hr) = 3.4083 mg/hr x (250 mL/400 mg) Infusion rate (mL/hr) = 2.1301875 mL/hr Step 6: Round to the nearest tenth: Infusion rate (mL/hr) ≈ 2.1 mL/hr