Question

Difficulty: HardPharmacological Therapies

A 4-year-old child who weighs 41.8 lb41.8\text{ lb} is brought to the pediatric clinic with acute otitis media. The healthcare provider prescribes cefdinir oral suspension 14 mg/kg/day14\text{ mg/kg/day} to be given in two equally divided doses. The dispensed medication bottle indicates that adding 38 mL38\text{ mL} of distilled water will yield a final reconstituted concentration of 250 mg/5 mL250\text{ mg}/5\text{ mL}. How many mL\text{mL} will the nurse administer for a single dose? (Record answer to the nearest tenth. Do not include units in answer.)

Answer: 2.7 mL

Answer

2.7
To determine the correct volume to administer, first convert the client's weight to kilograms (41.8 lb÷2.2=19 kg41.8\text{ lb} \div 2.2 = 19\text{ kg}). Next, find the total daily dose by multiplying the weight by the prescribed rate (19 kg×14 mg/kg=266 mg19\text{ kg} \times 14\text{ mg/kg} = 266\text{ mg}). Since this medication is given in two equally divided doses, divide by 2 to get the single dose amount (266 mg÷2=133 mg266\text{ mg} \div 2 = 133\text{ mg}). Finally, use the reconstituted concentration of 250 mg250\text{ mg} in 5 mL5\text{ mL} to find the volume to administer: (133 mg÷250 mg)×5 mL=2.66 mL(133\text{ mg} \div 250\text{ mg}) \times 5\text{ mL} = 2.66\text{ mL}. Rounding to the nearest tenth yields 2.7 mL2.7\text{ mL}. Note that the 38 mL38\text{ mL} of water mentioned is the diluent used to prepare the medication and is extraneous information designed to test critical reading skills.

Step-by-Step Solution

1
Convert weight to kilograms
19 kg19\text{ kg}
The medication dosage is prescribed based on the client's metric weight (mg/kg).
2
Determine total daily dose
266 mg/day266\text{ mg/day}
The prescription calls for 14 mg per kg per day.
3
Calculate the single dose
133 mg/dose133\text{ mg/dose}
The total daily medication is to be divided into two equal doses.
4
Calculate the required volume based on concentration
2.66 mL2.66\text{ mL}
The final reconstituted medication concentration is 250 mg per 5 mL.
5
Round to nearest tenth
2.7
Clinical rounding rules and the question instructions require rounding to the nearest tenth.

Key Concept

Pediatric weight-based dosage calculation and identifying relevant reconstitution data.
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