Final answer:
To administer nitroprusside at a dosage of 4 mcg/kg/min to a 57 kg patient, the nurse should set the IV pump to 68.4 mL/hr based on the concentration of nitroprusside available.
Step-by-step explanation:
The student is required to set up an IV pump to deliver nitroprusside at a dosage of 4 mcg/kg/min to a patient who weighs 57 kg. The nitroprusside concentration is 50 mg in 250 mL D5W. To calculate the flow rate in mL/hr, we use the following steps:
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- First, convert the dosage from mcg/kg/min to mg/hr:
(4 mcg/kg/min) × (57 kg) = 228 mcg/min = 0.228 mg/min
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- Since there are 60 minutes in an hour, convert this to mg/hr:
0.228 mg/min × 60 min/hr = 13.68 mg/hr
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- Next, calculate the volume of solution needed to provide 13.68 mg of nitroprusside:
(250 mL / 50 mg) × 13.68 mg = 68.4 mL/hr
Therefore, the nurse should set the IV pump to 68.4 mL/hr to deliver a continuous infusion of nitroprusside at the prescribed rate.