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Zorluk: Çok zorPharmacological Therapies

A practical nurse (PN) is preparing to administer a scheduled dose of ampicillin intramuscularly (IM) to a pediatric client who weighs 52.8 lb52.8\text{ lb}. The healthcare provider's prescription reads: ampicillin 100 mg/kg/day100\text{ mg/kg/day} IM divided in equal doses every 6 hours. The pharmacy dispenses a 1 g1\text{ g} vial of ampicillin powder. The reconstitution instructions on the vial state: "Add 3.5 mL3.5\text{ mL} of sterile water for injection to yield a final volume of 4 mL4\text{ mL} with a concentration of 250 mg/mL250\text{ mg/mL}."

How many milliliters (mL) should the PN administer per dose?

Record your answer using one decimal place. Do not include units in your answer.

Cevap: 2.4 mL

Cevap

2.4
To solve this problem, first convert pounds to kilograms (52.8 lb÷2.2=24 kg52.8\text{ lb} \div 2.2 = 24\text{ kg}). Next, determine the total daily dose (24 kg×100 mg/kg=2400 mg/day24\text{ kg} \times 100\text{ mg/kg} = 2400\text{ mg/day}). Since the medication is given every 6 hours (4 times a day), divide the daily dose by 4 to find the single dose (2400 mg÷4=600 mg/dose2400\text{ mg} \div 4 = 600\text{ mg/dose}). Finally, use the final yield concentration (250 mg/mL250\text{ mg/mL}) to find the volume: 600 mg÷250 mg/mL=2.4 mL600\text{ mg} \div 250\text{ mg/mL} = 2.4\text{ mL}. The values of 1 g1\text{ g}, 3.5 mL3.5\text{ mL} of sterile water, and 4 mL4\text{ mL} total volume are extraneous information not used in the final equation.

Adım Adım Çözüm

1
Convert the client's weight from pounds (lb) to kilograms (kg).
24 kg24\text{ kg}
The medication is prescribed based on milligrams per kilogram (mg/kgmg/kg), so the weight must be in standard metric units (52.8 lb÷2.2 lb/kg=24 kg52.8\text{ lb} \div 2.2\text{ lb/kg} = 24\text{ kg}).
2
Calculate the total daily dose of the medication.
2400 mg/day2400\text{ mg/day}
Multiply the client's weight in kg by the prescribed daily dosage parameter (24 kg×100 mg/kg/day=2400 mg/day24\text{ kg} \times 100\text{ mg/kg/day} = 2400\text{ mg/day}).
3
Determine the amount of medication required for a single dose.
600 mg/dose600\text{ mg/dose}
The medication is ordered every 6 hours, which equals 4 doses in a 24-hour period. Divide the total daily dose by 4 (2400 mg÷4=600 mg/dose2400\text{ mg} \div 4 = 600\text{ mg/dose}).
4
Calculate the required volume to administer using the final reconstituted concentration.
2.4 mL2.4\text{ mL}
Divide the desired dose (600 mg600\text{ mg}) by the concentration on hand (250 mg/mL250\text{ mg/mL}). The diluent amount (3.5 mL3.5\text{ mL}) and total vial volume (4 mL4\text{ mL}) are extraneous distractors (600 mg÷250 mg/mL=2.4 mL600\text{ mg} \div 250\text{ mg/mL} = 2.4\text{ mL}).

Anahtar Kavram

Advanced dosage calculation requiring weight conversion, daily-to-single dose division, and identification of correct reconstitution concentration while filtering extraneous data.
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