Question

Difficulty: Very hardPharmacological Therapies

A practical nurse is preparing to administer the morning dose of a prescribed oral antibiotic to a pediatric client. The child weighs 35 lb 4 oz35\text{ lb } 4\text{ oz}. The primary health care provider has prescribed cefdinir 14 mg/kg/day14\text{ mg/kg/day} PO to be administered in two equally divided doses. The pharmacy dispenses cefdinir oral suspension with a concentration of 125 mg/5 mL125\text{ mg}/5\text{ mL}. How many mL\text{mL} should the nurse administer for the morning dose? (Record the answer to the nearest tenth. Do not include units in your answer.)

Answer: 4.5 mL

Answer

4.5
The correct calculation requires six sequential steps: accurately representing ounces as a decimal of a pound, converting to kilograms, finding the total daily dosage, splitting it into a single dose, computing the volume using the provided concentration, and rounding to the nearest tenth.

Step-by-Step Solution

1
Convert the client's fractional weight from ounces to pounds.
4 oz÷16 oz/lb=0.25 lb4\text{ oz} \div 16\text{ oz/lb} = 0.25\text{ lb}. Total weight is 35.25 lb35.25\text{ lb}.
Weight must be in a standard decimal format before converting to kilograms.
2
Convert the weight from pounds to kilograms.
35.25 lb÷2.2 lb/kg=16.022... kg35.25\text{ lb} \div 2.2\text{ lb/kg} = 16.022...\text{ kg}, which rounds to 16.0 kg16.0\text{ kg}.
The medication dosage is prescribed based on the client's weight in kilograms.
3
Calculate the total daily medication requirement.
16.0 kg×14 mg/kg/day=224 mg/day16.0\text{ kg} \times 14\text{ mg/kg/day} = 224\text{ mg/day}.
This establishes the maximum therapeutic amount the child should receive over a 24-hour period.
4
Calculate the individual dose amount.
224 mg/day÷2=112 mg/dose224\text{ mg/day} \div 2 = 112\text{ mg/dose}.
The order specifies administration in two equally divided doses, not as a single bolus.
5
Determine the liquid volume required for the single dose.
(112 mg÷125 mg)×5 mL=4.48 mL(112\text{ mg} \div 125\text{ mg}) \times 5\text{ mL} = 4.48\text{ mL}.
This matches the ordered dose to the available physical concentration provided by the pharmacy.
6
Round the final answer according to instructions.
4.48 mL4.48\text{ mL} rounds up to 4.5 mL4.5\text{ mL}.
Standard medication calculation rules and the stem's instructions require rounding to the nearest tenth for volumes greater than 1 mL1\text{ mL}.

Key Concept

Multi-step pediatric weight-based dosage calculation requiring unit conversion, fractioned dosing, and liquid concentration computation.
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