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The healthcare provider prescribes 2 L of 5% dextrose in water (DW) IV to infuse in 24 hours. The IV administration set delivers 15 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.)
Answer and Explanation

The Correct Answer is ["21"]

Here's how to calculate the infusion rate (gtt/min) for the nurse to regulate:

1. We know:

Total volume of D5W solution: 2 L (liters)

Infusion time: 24 hours

IV administration set gtt/mL: 15 gtt/mL

2. We need to find the infusion rate in gtt/min.

Steps:

a. Convert liters to milliliters (mL) for better calculation:

1 liter = 1000 mL

Total volume (mL) = 2 L * 1000 mL/L

Total volume (mL) = 2000 mL

b. Convert infusion time from hours to minutes:

Infusion time (minutes) = Infusion time (hours) x Minutes per hour

Infusion time (minutes) = 24 hours * 60 minutes/hour

Infusion time (minutes) = 1440 minutes

c. Calculate the total volume of solution to be infused per minute:

Volume rate (mL/min) = Total volume (mL) / Infusion time (minutes)

Volume rate (mL/min) = 2000 mL / 1440 minutes

Volume rate (mL/min) = 1.389 mL/min (round to nearest hundredth)

d. Finally, calculate the infusion rate in gtt/min:

Infusion rate (gtt/min) = Volume rate (mL/min) x gtt/mL

Infusion rate (gtt/min) = 1.389 mL/min * 15 gtt/mL

Infusion rate (gtt/min) = 20.835 gtt/min (round to nearest whole number as requested)

Therefore, the nurse should regulate the infusion at approximately 21 gtt/min


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Related Questions

Correct Answer is ["2.4"]

Explanation

Here's how to calculate the volume (mL) the nurse should administer for cefazolin:

1. We know the following:

Prescribed dose: 800 mg cefazolin IM every 6 hours (given)

Vial content: 1 gram cefazolin (given)

However, we need to consider the reconstitution process for accurate dosage calculation.

Reconstitution information:

For IM use, add 2.5 mL sterile water for injection.

This dilution creates a total volume of 3.0 mL.

3. We need to find the concentration of cefazolin in the reconstituted solution (mg/mL).

Concentration (mg/mL) = Total drug amount (mg) / Total volume (mL) after reconstitution

Concentration (mg/mL) = 1 gram (which is 1000 mg) / 3.0 mL

Concentration (mg/mL) = 333.33 mg/mL (round to nearest tenth)

4. Now, we can find the volume to administer for the prescribed dose (800 mg) considering the concentration (333.33 mg/mL) in the reconstituted solution.

Volume to administer (mL): Dose (mg) / Concentration (mg/mL)

Volume to administer (mL): 800 mg / 333.33 mg/mL

Volume to administer (mL): 2.40 mL (round to nearest tenth)

Therefore, the nurse should administer approximately 2.4 mL of the reconstituted cefazolin solution intramuscularly.

Correct Answer is ["0.7"]

Explanation

The nurse should administer 0.7 mL of diphenhydramine.

Here's the calculation:

Medication dosage: 35 mg (diphenhydramine)

Medication concentration: 50 mg/mL (given on the syringe label)

We need to find the volume (mL) containing the prescribed dose (35 mg) of diphenhydramine.

Volume to administer (mL) = Dose (mg) / Concentration (mg/mL)

Volume to administer (mL) = 35 mg / 50 mg/mL

Volume to administer (mL) = 0.7 mL (round to nearest tenth)

Therefore, the nurse should administer 0.7 mL of diphenhydramine

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