Questions: The physician orders gentamicin 40 mg IVPB q 8 h for infection. The medication is supplied in gentamicin 40 mg / 100 mL to infuse over 1 hour. Tubing drop factor is 20 gtt / mL. How many drops per minute will be given? Round answer to whole number.

The physician orders gentamicin 40 mg IVPB q 8 h for infection. The medication is supplied in gentamicin 40 mg / 100 mL to infuse over 1 hour. Tubing drop factor is 20 gtt / mL. How many drops per minute will be given? Round answer to whole number.
Transcript text: 8. The physician orders gentamicin 40 mg IVPB q 8 h for infection. The medication is supplied in gentamicin $40 \mathrm{mg} / 100 \mathrm{~mL}$ to infuse over 1 hour. Tubing drop factor is $20 \mathrm{gtt} / \mathrm{mL}$. How many drops per minute will be given? Round answer to whole number.
failed

Solution

failed
failed

Solution Steps

To determine the number of drops per minute, we need to follow these steps:

  1. Calculate the total volume of the infusion (which is given as 100 mL).
  2. Determine the total time of the infusion in minutes (1 hour = 60 minutes).
  3. Use the tubing drop factor to convert the volume per minute into drops per minute.
Step 1: Determine the Total Volume of the Infusion

The total volume of the infusion is given as \(100 \, \text{mL}\).

Step 2: Convert Infusion Time to Minutes

The infusion time is given as 1 hour. Converting this to minutes: \[ 1 \, \text{hour} = 60 \, \text{minutes} \]

Step 3: Calculate Drops per Minute

Using the tubing drop factor of \(20 \, \text{gtt/mL}\), we calculate the drops per minute: \[ \text{Drops per minute} = \left( \frac{100 \, \text{mL}}{60 \, \text{minutes}} \right) \times 20 \, \text{gtt/mL} \] \[ \text{Drops per minute} = \left( \frac{100}{60} \right) \times 20 \] \[ \text{Drops per minute} = 1.6667 \times 20 \] \[ \text{Drops per minute} = 33.3333 \]

Step 4: Round to the Nearest Whole Number

Rounding \(33.3333\) to the nearest whole number: \[ \text{Drops per minute} \approx 33 \]

Final Answer

\(\boxed{33}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful