An adolescent with meningococcal meningitis is receiving a continuous IV infusion of penicillin G, which is prescribed as 20 million units in a total volume of 2 liters of normal saline every 24 hours. The pharmacy delivers 10 million units/liter of normal saline. How many mL/hour should the nurse program the infusion pump? (Enter numeric value only. If rounding is required, round to the nearest whole number.)
The Correct Answer is ["83"]
The nurse should set the infusion pump to deliver the entire 2 liters (2000 mL) over the course of 24 hours.
Therefore, the IV pump should be set to deliver:
Rate (mL/hr) = Total volume (mL) / Time (hr) = 2000 mL / 24 hr
After performing the calculation, we find that the rate equals 83.33 mL/hr.
So, the nurse should set the infusion pump to deliver 83 mL/hr (rounded to the nearest whole number).
This is because 83 mL of the solution contains the prescribed dose of penicillin G every hour.
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Related Questions
Correct Answer is ["0.25"]
Explanation
Here's how to calculate the volume (mL) the nurse should administer for somatropin:
1. We know the following:
Prescribed dose: 1.25 mg somatropin (given)
Concentration after reconstitution: 5 mg/mL (given)
2. We need to find the volume (mL) to administer for the prescribed dose (1.25 mg) considering the concentration (5 mg/mL) of the reconstituted solution.
Volume to administer (mL): Dose (mg) / Concentration (mg/mL)
Volume to administer (mL): 1.25 mg / 5 mg/mL
Volume to administer (mL) = 0.25 mL (round to nearest hundredth)
Therefore, the nurse should administer 0.25 mL of the reconstituted somatropin solution subcutaneously.
Correct Answer is ["21"]
Explanation
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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