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An order is received for Principen (ampicillin) 25 mg/kg IV for a toddler who weighs 22 lb. The dose is to be infused over 30 minutes. The ampicillin dose arrives from the pharmacy prepared in 50 mL of solution.
How many milliliters per hour should be administered?

A.

25 mL/hr

B.

50 mL/hr

C.

100 mL/hr

D.

10 mL/hr

Answer and Explanation

The Correct Answer is C

To find the milliliters per hour, you need to calculate the following:

- The patient's weight in kilograms
- The dose of Principen in milligrams
- The infusion rate in milliliters per hour using the formula: Infusion rate (mL/h) = (Total volume (mL) x Flow factor (gt/mL)) / Time (min) x 60 min/h


First, convert the patient's weight from pounds to kilograms by dividing by 2.2:

22 lb / 2.2 = 10 kg

Next, multiply the patient's weight by the dose of Principen per kilogram to get the total dose in milligrams:

10 kg x 25 mg/kg = 250 mg

Then, use the formula for infusion rate to find how many milliliters per hour the IV pump should deliver:

Infusion rate (mL/h) = (Total volume (mL) x Flow factor (gt/mL)) / Time (min) x 60 min/h

Since the medication is prepared in 50 mL of solution and the infusion time is 30 minutes, plug in these values into the formula:

Infusion rate (mL/h) = (50 mL x 1 gt/mL) / 30 min x 60 min/h

Simplify and solve for the infusion rate:

Infusion rate (mL/h) = 100 mL/h

Therefore, the nurse should administer **100 mL/h** to infuse Principen 250 mg over 30 minutes.


 


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Related Questions

Correct Answer is B

Explanation

To find the flow rate in mL/hr, you need to use the formula for infusion rate:


Infusion rate (mL/h) = Total volume (mL) / Time (h)


Since the total volume is 2.5 L and the time is 15 hours, plug in these values into the formula:


Infusion rate (mL/h) = 2.5 L / 15 h


However, before you can simplify and solve for the infusion rate, you need to convert the volume from liters to milliliters by multiplying by 1000:


Infusion rate (mL/h) = 2500 mL / 15 h

Simplify and solve for the infusion rate:


Infusion rate (mL/h) = 166.67 mL/h


Therefore, the flow rate for continuous infusion is **166.67 mL/h**.

Correct Answer is C

Explanation

To find the hours to finish the infusion, you need to calculate the following:

- The volume of saline solution in milliliters
- The time in hours using the formula: Time (h) = Total volume (mL) / Infusion rate (mL/h)


First, convert the volume of saline solution from liters to milliliters by multiplying by 1000:

1.5 L x 1000 = 1500 mL


Next, use the formula for time to find how many hours it will take to infuse the saline solution at the current rate:


Time (h) = Total volume (mL) / Infusion rate (mL/h)


Since the total volume is 1500 mL and the infusion rate is 75 mL/h, plug in these values into the formula:


Time (h) = 1500 mL / 75 mL/h


Simplify and solve for the time:


Time (h) = 20 h


Therefore, it will take **20 hours** to finish the infusion at the current rate.

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