Questions: A nurse is preparing to administer 0.9% sodium chloride (0.9% NaCl) 500 mL IV to infuse over 2 hr. The drop factor of the manual IV tubing is 10 gtt/mL. The nurse should set the manual IV infusion to deliver how many gtt/min? (Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.) gtt/min

A nurse is preparing to administer 0.9% sodium chloride (0.9% NaCl) 500 mL IV to infuse over 2 hr. The drop factor of the manual IV tubing is 10 gtt/mL. The nurse should set the manual IV infusion to deliver how many gtt/min? (Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.)
gtt/min
Transcript text: A nurse is preparing to administer $0.9 \%$ sodium chloride $(0.9 \% \mathrm{NaCl}) 500 \mathrm{~mL}$ IV to infuse over 2 hr . The drop factor of the manual IV tubing is 10 $\mathrm{gtt} / \mathrm{mL}$. The nurse should set the manual IV infusion to deliver how many gtt/min? (Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.) $\square$ $\mathrm{gtt} / \mathrm{min}$ PREVIOUS CONTINUE
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Solution

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Solution Steps

Step 1: Convert the infusion time from hours to minutes

To convert the infusion time from hours to minutes, multiply the time in hours (2 hours) by 60.

\[T_{\text{min}} = 2 \times 60 = 120 \text{ minutes}\]

Step 2: Calculate the infusion rate in mL/min

The infusion rate in mL/min is calculated by dividing the total volume of the IV fluid (500 mL) by the total infusion time in minutes (120 minutes).

\[\text{Rate}_{\text{mL/min}} = \frac{500}{120} = 4.167 \text{ mL/min}\]

Step 3: Calculate the infusion rate in drops per minute

The infusion rate in drops per minute is calculated by multiplying the infusion rate in mL/min by the drop factor (10 \mathrm{gtt} / \mathrm{mL}).

\[\text{Rate}_{\mathrm{gtt/min}} = \text{Rate}_{\text{mL/min}} \times 10 = 41.667 \mathrm{gtt} / \mathrm{min}\]

Step 4: Round the final answer

The final infusion rate in drops per minute, rounded to the nearest whole number, is $42 \mathrm{gtt} / \mathrm{min}$.

Final Answer:

The infusion rate should be set to $42 \mathrm{gtt} / \mathrm{min}$ to infuse 500 mL of IV fluid over 2 hours, using a manual IV tubing with a drop factor of 10 $\mathrm{gtt} / \mathrm{mL}$.

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