A client is receiving a secondary infusion of vancomycin 1,500 mg in 250 mL to be infused over two hours

A client is receiving a secondary infusion of vancomycin 1,500 mg in 250 mL to be infused over two hours. The IV administration set delivers 10 gtt/mL. How many gtt/min should the nurse regulate the infusion? (Enter numerical value only. If rounding is required, round to the nearest whole number.)

The correct answer and Explanation is :

To determine the flow rate in gtt/min for the secondary infusion of vancomycin, follow these steps:

  1. Calculate the total infusion time in minutes:
  • The infusion is scheduled to run over 2 hours.
  • Convert hours to minutes:
    [ 2 \text{ hours} \times 60 \text{ minutes/hour} = 120 \text{ minutes} ]
  1. Calculate the total volume of the infusion:
  • The total volume of the vancomycin infusion is 250 mL.
  1. Determine the flow rate in mL/min:
  • Divide the total volume by the total time in minutes:
    [ \frac{250 \text{ mL}}{120 \text{ minutes}} \approx 2.0833 \text{ mL/min} ]
  1. Convert the flow rate from mL/min to gtt/min:
  • Since the IV administration set delivers 10 gtt/mL, multiply the flow rate in mL/min by the number of gtt per mL:
    [ 2.0833 \text{ mL/min} \times 10 \text{ gtt/mL} = 20.8333 \text{ gtt/min} ]
  1. Round to the nearest whole number:
  • Rounding 20.8333 gives you 21 gtt/min.

Therefore, the nurse should regulate the infusion to 21 gtt/min.

Explanation:

Understanding how to calculate IV flow rates is crucial in nursing and healthcare for ensuring that medications are administered safely and effectively. The calculation involves converting the infusion duration from hours to minutes and determining how many drops per minute are required to deliver the prescribed volume.

Infusion rates can affect drug efficacy and patient safety; too fast could lead to toxicity, while too slow may not achieve the therapeutic effect. Knowing the gtt/mL delivered by the administration set helps in precisely controlling the flow rate. In this scenario, the calculations demonstrated both the importance of understanding IV infusion principles and the meticulous attention to detail required in medication administration. Always double-check calculations and monitor the patient for any adverse reactions during infusion therapy.

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