https://file.aiquickdraw.com/mathbot/file/1726883088705q4wdzrpp.png

To solve the problem, let's break down the details:

1. The nurse is preparing to administer **40 mg** of esomeprazole by intermittent IV bolus.
2. The available solution is **40 mg** of esomeprazole in **100 mL** of dextrose 5% in water (D₅W).
3. The total infusion time is **30 minutes**.

We are asked to calculate the IV pump rate in **mL per hour**.

### Steps to Solve:

1. **Determine the total volume of the solution to be infused:**  
   The nurse has **100 mL** to administer over 30 minutes.

2. **Convert the time from minutes to hours**:  
   \[
   30 \text{ minutes} = 0.5 \text{ hours}
   \]

3. **Calculate the IV pump rate in mL per hour** using the formula:  
   \[
   \text{IV Pump Rate (mL/hr)} = \frac{\text{Total Volume (mL)}}{\text{Infusion Time (hours)}}
   \]
   Substituting the values:
   \[
   \text{IV Pump Rate (mL/hr)} = \frac{100 \text{ mL}}{0.5 \text{ hours}} = 200 \text{ mL/hr}
   \]

### Answer:
The nurse should set the IV pump to deliver **200 mL/hr**.

Would you like further clarification on any part of this calculation?

Here are 5 related questions for further practice:
1. How would you adjust the pump rate if the infusion needed to be delivered over 1 hour instead of 30 minutes?
2. If the nurse only needed to administer 50 mL of the solution, what would be the new IV rate for a 30-minute infusion?
3. How do you calculate the pump rate if the solution concentration or dosage changes?
4. What is the difference between an intermittent IV bolus and continuous IV infusion?
5. How would you calculate the infusion rate for a medication that is weight-based?

**Tip**: Always double-check the units (e.g., minutes to hours) when calculating IV infusion rates to avoid mistakes.

A nurse is preparing to administer esomeprazole 40 mg by intermittent IV bolus every 12 hr. Available is esomeprazole injection 40 mg in dextrose 5% in water (D₅W) 100 mL to infuse over 30 min. The nurse should set the IV pump to deliver how many mL/hr? (Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.)

Learn how to calculate the IV pump rate for esomeprazole injection (40 mg in 100 mL) to be infused over 30 minutes. Understand the key mathematical concepts like ratio and proportion, unit conversion, and rates to solve this real-world medical problem. Suitable for Grades 9-12.

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