Question

Difficulty: HardPharmacological Therapies

A pediatric client diagnosed with acute otitis media is receiving care in a clinic. The practical nurse (PN) reviews the electronic health record:

Vital Signs & Measurements:
Temperature: 101.4∘F101.4^\circ\text{F} (38.6∘C38.6^\circ\text{C})
Weight: 35.2 lb35.2\text{ lb}
Allergies: Penicillin (mild rash)

Provider Prescriptions:
Ceftriaxone 50 mg/kg/day50\text{ mg/kg/day} intramuscularly, divided into two equal doses.

Pharmacy Dispenses:
Ceftriaxone 1 g1\text{ g} vial of sterile powder.
Reconstitution instructions: Add 2.1 mL2.1\text{ mL} of sterile water for injection to yield a final concentration of 350 mg/mL350\text{ mg/mL}.

How many mL\text{mL} should the PN administer per dose? (Record the answer to the nearest tenth. Do not include units in the answer.)

Answer: 1.1 mL

Answer

1.1
To administer the correct dose, the nurse must first convert the weight to kilograms, find the individual dose by dividing the daily total in half, and then use the final yield concentration (350 mg/mL350\text{ mg/mL}) to determine the volume to administer. The volume of diluent added (2.1 mL2.1\text{ mL}) is a distractor and is not used in the formula.

Step-by-Step Solution

1
Convert pounds to kilograms.
16 kg16\text{ kg}
The medication is prescribed based on kilograms of body weight.
2
Calculate the total daily dose.
800 mg/day800\text{ mg/day}
Multiply the weight (16 kg16\text{ kg}) by the prescribed daily amount (50 mg/kg50\text{ mg/kg}).
3
Determine the single dose amount.
400 mg/dose400\text{ mg/dose}
The daily dose is divided into two equal doses (800 mg÷2=400 mg800\text{ mg} \div 2 = 400\text{ mg}).
4
Calculate the volume to administer.
1.1428... mL1.1428...\text{ mL}
Divide the desired single dose (400 mg400\text{ mg}) by the concentration (350 mg/mL350\text{ mg/mL}). The 2.1 mL2.1\text{ mL} of diluent is required for reconstitution but is irrelevant to the final volume calculation.
5
Round to the nearest tenth.
1.11.1
Follow the explicit rounding instructions provided in the question stem.

Key Concept

Weight-based pediatric dosage calculation and medication reconstitution
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