Your patient admitted with a gastrointestinal bleed has been ordered a continuous IV infusion of Pantoprazole at 8 mg/hr for 72 hours. The medication is available in a vial of 40 m... Your patient admitted with a gastrointestinal bleed has been ordered a continuous IV infusion of Pantoprazole at 8 mg/hr for 72 hours. The medication is available in a vial of 40 mg and is to be mixed in a bag of 100 ml Normal Saline. What would be the rate of the infusion?
Understand the Problem
The question is asking to calculate the rate of intravenous (IV) infusion for Pantoprazole based on the prescribed dosage and the volume of the solution prepared. This involves using the available medication amount and its concentration to find how fast (in ml/hr) the IV should be administered.
Answer
The rate of the infusion is approximately $20 \, \text{mL/hr}$.
Answer for screen readers
The rate of the infusion is approximately $20 , \text{mL/hr}$.
Steps to Solve
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Calculate Total Medication Needed To find out how much medication is required for the entire duration, multiply the rate by the total hours:
$$ \text{Total Medication} = 8 , \text{mg/hr} \times 72 , \text{hr} = 576 , \text{mg} $$ -
Determine How Many Vials Are Needed Next, determine how many vials of Pantoprazole are required. Since each vial contains 40 mg:
$$ \text{Number of Vials} = \frac{576 , \text{mg}}{40 , \text{mg/vial}} = 14.4 , \text{vials} $$
Since you cannot have a fraction of a vial, round up to 15 vials. -
Calculate Total Volume of the Infusion Now calculate the total volume in which the medication is mixed. Each vial is being mixed in a bag of 100 mL:
$$ \text{Total Volume} = 15 , \text{vials} \times 100 , \text{mL/vial} = 1500 , \text{mL} $$ -
Calculate Rate of Infusion Finally, find the rate of infusion by dividing the total volume by the total time in hours (72 hours):
$$ \text{Rate of Infusion} = \frac{1500 , \text{mL}}{72 , \text{hr}} \approx 20.83 , \text{mL/hr} $$
Arranging the infusion rate to standard values, it is approximately 20 mL/hr.
The rate of the infusion is approximately $20 , \text{mL/hr}$.
More Information
In this calculation, we determined how much Pantoprazole the patient needed over the course of 72 hours. Knowing the concentration of the medication in the vials and the total volume of solution available is crucial for managing IV infusions effectively.
Tips
- Rounding too early: Rounding the number of vials before calculating the total volume can lead to mistakes in dosage.
- Miscalculating the infusion rate: Always double-check the division to ensure the final infusion rate is accurate.
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