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    Dosage calculation rn critical care proctored assessment 3.2
    Calculation

    A nurse is preparing to administer dopamine 5 mcg/kg/min to a client who weighs 198 lb. Available is dopamine 200 mg in dextrose 5% in water 250 mL. The nurse should set the IV pump to deliver how many mL/hr? (Round the answer to the nearest tenth. Use a leading zero if it applies. Do not use a trailing zero.)

    mL/hr

    Explanation & Rationale

    Calculation: Convert the client's weight from pounds (lbs) to kilograms (kg): Formula: Weight in kg = Weight in lbs / 2.2 lbs/kg = 198 lbs / 2.2 lbs/kg = 90 kg Calculate the dopamine dosage in micrograms per minute: Ordered dose: 5 mcg/kg/min Client's weight in kg: 90 kg Formula: Dosage (mcg/min) = Ordered dose (mcg/kg/min) × Client's weight (kg) = 5 mcg/kg/min × 90 kg = 450 mcg/min Convert the dopamine dosage to micrograms per hour: Conversion factor: 1 hour = 60 minutes Formula: Dosage (mcg/hr) = Dosage (mcg/min) × 60 min/hr = 450 mcg/min × 60 min/hr = 27000 mcg/hr Convert the dopamine concentration in the IV solution to micrograms per milliliter: Available dopamine: 200 mg Convert milligrams to micrograms: 200 mg × 1000 mcg/mg = 200000 mcg Volume of solution: 250 mL Formula: Concentration (mcg/mL) = Total micrograms / Total mL = 200000 mcg / 250 mL = 800 mcg/mL Calculate the IV pump flow rate in mL/hr: Formula: Flow rate (mL/hr) = Dosage needed (mcg/hr) / Concentration (mcg/mL) = 27000 mcg/hr / 800 mcg/mL = 33.75 mL/hr Round the answer to the nearest tenth: 33.75 mL/hr rounded to the nearest tenth is 33.8 mL/hr.

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