A nurse is preparing to administer dobutamine 10 mcg/kg/min by continuous IV infusion to a client who weighs 110 lb. Available is dobutamine 250 mg in 250 mL dextrose 5% in water. The nurse should set the IV pump to deliver how many mL/hr? (Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.)
Explanation & Rationale
Convert the client's weight from pounds (lb) to kilograms (kg). Weight in kg = 110 lb / 2.2 lb/kg = 50 kg. Calculate the desired dose in micrograms per minute (mcg/min). Desired dose (mcg/min) = Desired dose (mcg/kg/min) × Weight (kg) = 10 mcg/kg/min × 50 kg = 500 mcg/min. Convert the desired dose from micrograms per minute (mcg/min) to milligrams per hour (mg/hr). Desired dose in mg/hr = (500 mcg/min / 1000 mcg/mg) × 60 min/hr = 0.5 mg/min × 60 min/hr = 30 mg/hr. Determine the concentration of the available dobutamine solution in milligrams per milliliter (mg/mL). Available concentration = 250 mg / 250 mL = 1 mg/mL. Calculate the IV pump rate in milliliters per hour (mL/hr). IV pump rate (mL/hr) = Desired dose (mg/hr) / Available concentration (mg/mL) = 30 mg/hr / 1 mg/mL = 30 mL/hr.