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Answer :
Final answer:
To determine how long a 100 mL vial of Integrilin at 0.75 mg/mL will last for a patient at a dosage of 2 mcg/kg/min, convert the patient's weight to kg, calculate the dosage per minute, find the total dosage in the vial, and divide it by the dosage per minute. The vial will last approximately 7.6 hours.
Explanation:
To calculate how long a 100 mL vial of Integrilin at 0.75 mg/mL will last for a patient receiving a dosage of 2 mcg/kg/min, we first need to convert the patient's weight from pounds to kilograms. The patient's weight is 182 lbs, which is approximately 82.55 kg (1 lb equals 0.453592 kg).
Next, we calculate the total dosage per minute for the patient:
- Dosage per minute = patient's weight in kg × dosage rate in mcg/kg/min
- Dosage per minute = 82.55 kg × 2 mcg/kg/min = 165.1 mcg/min
To convert micrograms to milligrams, we divide by 1,000 because there are 1,000 micrograms in a milligram:
- Dosage per minute in mg = 165.1 mcg/min ÷ 1,000 = 0.1651 mg/min
Now, determine how many minutes the 100 mL vial can last:
- Total dosage in vial = volume of vial × concentration = 100 mL × 0.75 mg/mL = 75 mg
- Total dosage in vial = 75 mg
- Time in minutes = total dosage in vial ÷ dosage per minute = 75 mg ÷ 0.1651 mg/min ≈ 454 minutes
Convert minutes to hours:
- Time in hours = time in minutes ÷ 60 minutes/hour
- Time in hours ≈ 454 minutes ÷ 60 = 7.5667 hours
The 100 mL vial of Integrilin will last approximately 7.6 hours at the prescribed dosage rate.
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