https://file.aiquickdraw.com/mathbot/file/1726707222468rvi57umd.jpg

To solve the problem presented in the image:

**Problem**: A nurse is preparing to administer 5% dextrose in 0.45% sodium chloride (D₅0.45% NaCl) with a total volume of **1,500 mL** to infuse over **8 hours**. You need to calculate the IV pump flow rate in **mL/hr**, rounded to the nearest whole number.

### Step-by-step Calculation:

1. **Volume to be infused (V)**: 1,500 mL
2. **Time of infusion (T)**: 8 hours

The formula to calculate the flow rate is:

\[
\text{Flow rate} (mL/hr) = \frac{\text{Total volume} (mL)}{\text{Time} (hr)}
\]

\[
\text{Flow rate} = \frac{1500 \, \text{mL}}{8 \, \text{hours}} = 187.5 \, \text{mL/hr}
\]

### Rounding:
Since we need to round to the nearest whole number:
\[
\text{Flow rate} = 188 \, \text{mL/hr}
\]

### Answer: 
The nurse should set the IV pump to **188 mL/hr**.

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Would you like further details or have any other questions?

Here are five related questions:
1. How would the calculation change if the infusion time were 6 hours instead of 8 hours?
2. What is the formula for calculating drops per minute for manual IV setups?
3. How does the flow rate calculation differ if the volume is given in liters instead of milliliters?
4. What safety measures should a nurse consider when adjusting an IV pump flow rate?
5. How would the IV flow rate be affected if the solution concentration changes (e.g., 10% dextrose)?

**Tip**: Always double-check the units used in calculations, especially in dosage and infusion problems, to avoid any medication errors.

A nurse is preparing to administer dextrose 5% in 0.45% sodium chloride (D₅0.45% NaCl) 1,500 mL IV to infuse over 8 hr. 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.)

Calculate the IV flow rate required to administer 1,500 mL of D₅0.45% NaCl solution over 8 hours. This detailed solution uses a step-by-step formula to determine the correct IV pump setting in mL/hr, rounded to the nearest whole number.

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