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?
25 mL/hr
50 mL/hr
100 mL/hr
10 mL/hr
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 D
Explanation
To find the amount of solution to draw for one dose, you need to calculate the following:
- The body surface area (BSA) of the client in square meters (m²) using the formula: BSA (m²) = √(Height (cm) x Weight (kg) / 3600)
- The dose of allopurinol in milligrams (mg) using the formula: Dose (mg) = BSA (m²) x Prescribed dose
(mg/m²)
- The volume of solution in milliliters (mL) using the formula: Volume (mL) = Dose (mg) / Concentration (mg/mL)
First, use the formula for BSA to find the client's body surface area in square meters:
BSA (m²) = √(Height (cm) x Weight (kg) / 3600)
Since the client's height is 148 cm and weight is 55 kg, plug in these values into the formula:
BSA (m²) = √(148 cm x 55 kg / 3600)
Simplify and solve for the BSA:
BSA (m²) = 1.41 m²
Next, use the formula for dose to find the amount of allopurinol in milligrams:
Dose (mg) = BSA (m²) x Prescribed dose (mg/m²)
Since the client's BSA is 1.41 m² and the prescribed dose is 115 mg/m², plug in these values into the formula:
Dose (mg) = 1.41 m² x 115 mg/m²
Simplify and solve for the dose:
Dose (mg) = 162.15 mg
Then, use the formula for volume to find the amount of solution in milliliters:
Volume (mL) = Dose (mg) / Concentration (mg/mL)
Since the dose is 162.15 mg and the concentration is 25 mg/mL, plug in these values into the formula:
Volume (mL) = 162.15 mg / 25 mg/mL
Simplify and solve for the volume:
Volume (mL) = 6.486 mL
Therefore, the nurse should draw **6.486 mL** of solution for one dose of allopurinol.
Correct Answer is B
Explanation
To find the milliliters per dose, you need to use the formula for dosage calculation:
Volume (mL) = Dose ordered (mg) / Concentration (mg/mL) x Volume available (mL)
Since the dose ordered is 0.5 grams, the concentration is 125 mg/5 mL, and the volume available is 5 mL, plug in these values into the formula:
Volume (mL) = 0.5 grams / 125 mg/5 mL x 5 mL
However, before you can simplify and solve for the volume, you need to convert the dose from grams to milligrams by multiplying by 1000:
Volume (mL) = 500 mg / 125 mg/5 mL x 5 m
Simplify and solve for the volume:
Volume (mL) = 20 mL
Therefore, the nurse should administer **20 mL** of Amoxil per dose to the patient.
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