Question

Difficulty: MediumPharmacological Therapies

A healthcare provider prescribes amoxicillin oral suspension for a toddler weighing 14 kg14\text{ kg} to treat acute otitis media. The prescription is for 30 mg/kg/day30\text{ mg/kg/day} divided into two equal doses administered every 12 hours. The medication label indicates a concentration of 250 mg/5 mL250\text{ mg}/5\text{ mL}. How many mL will the practical nurse administer for one dose? Record your answer to the nearest tenth. Do not include units in your answer.

Answer: 4.2 mL

Answer

4.2
To find the correct volume for one dose, first calculate the total daily requirement: 14 kg×30 mg/kg/day=420 mg/day14\text{ kg} \times 30\text{ mg/kg/day} = 420\text{ mg/day}. Next, divide this by 22 for the every-12-hour dosing schedule: 420 mg/day÷2=210 mg/dose420\text{ mg/day} \div 2 = 210\text{ mg/dose}. Finally, determine the liquid volume using the supplied concentration: 210 mg250 mg×5 mL=4.2 mL\frac{210\text{ mg}}{250\text{ mg}} \times 5\text{ mL} = 4.2\text{ mL}.

Step-by-Step Solution

1
Determine the total daily dose of the medication.
420 mg/day420\text{ mg/day}
The prescription is weight-based at 30 mg/kg/day30\text{ mg/kg/day}. Multiplying the weight (14 kg14\text{ kg}) by the dose per kg (30 mg30\text{ mg}) gives the total daily requirement.
2
Calculate the amount of medication needed for a single dose.
210 mg/dose210\text{ mg/dose}
The daily dose is divided into two equal doses administered every 12 hours. Dividing the daily total (420 mg420\text{ mg}) by 22 gives the single dose amount.
3
Calculate the volume of liquid required for the single dose.
4.2 mL4.2\text{ mL}
Using the dosage formula Desired DoseAvailable Dose×Volume=210 mg250 mg×5 mL=4.2 mL\frac{\text{Desired Dose}}{\text{Available Dose}} \times \text{Volume} = \frac{210\text{ mg}}{250\text{ mg}} \times 5\text{ mL} = 4.2\text{ mL}.

Key Concept

Weight-based pediatric dosage calculation and liquid medication administration.
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