Dosage calculation rn critical care proctored assessment 3.2 ( 30 Questions)
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.)
Correct Answer: 33.8
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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