Answer :
The medication solution is Dopamine 400 mg in 250 mL D5W. So, the infusion pump should be set at approximately 0.19 mL per minute to deliver Dopamine at 4 mcg/kg/min to the 165 lb patient.
To calculate the infusion rate in mL per minute for the Dopamine infusion, we can follow these steps:
Step 1: Convert the patient's weight from pounds to kilograms.
1 pound (lb) is approximately equal to 0.453592 kilograms (kg).
Patient's weight in kg = 165 lb × 0.453592 kg/lb ≈ 74.84 kg
Step 2: Calculate the total dose required per minute based on the patient's weight and the ordered dose rate.
Ordered dose rate = 4 mcg/kg/min
Total dose per minute = Patient's weight (in kg) × Ordered dose rate
Total dose per minute = 74.84 kg × 4 mcg/kg/min = 299.36 mcg/min
Step 3: Convert the total dose per minute from micrograms (mcg) to milligrams (mg) since the medication is supplied in milligrams.
1 mg = 1,000 mcg
Total dose per minute = 299.36 mcg/min ÷ 1,000 = 0.29936 mg/min
Step 4: Determine the infusion rate in mL per minute by dividing the total dose per minute by the concentration of the medication solution.
The medication solution is Dopamine 400 mg in 250 mL D5W.
Infusion rate (mL/min) = Total dose per minute (mg/min) ÷ Concentration of medication (mg/mL)
Infusion rate (mL/min) = 0.29936 mg/min ÷ 400 mg/250 mL ≈ 0.1871 mL/min
Now, round the infusion rate to the nearest whole number:
Infusion rate = approximately 0.1871 mL/min ≈ 0.19 mL/min (rounded to two decimal places)
So, the infusion pump should be set at approximately 0.19 mL per minute to deliver Dopamine at 4 mcg/kg/min to the 165 lb patient.
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