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Zorluk: Çok zorPharmacological Therapies

Before administering a PRN antipyretic, a practical nurse calculates the maximum safe dosage for a pediatric client weighing 3838 lb 88 oz. The healthcare provider's prescription reads: acetaminophen 1515 mg/kg/dose PO every 66 hours PRN for a temperature greater than 101.5∘F101.5^\circ\text{F} (38.6∘C38.6^\circ\text{C}). The unit's medication supply contains acetaminophen oral suspension with a concentration of 160160 mg/55 mL. What is the maximum total volume, in mL, that the practical nurse can safely administer to this client in a 2424-hour period?

(Record answer to the nearest tenth. Do not include units in answer.)

Cevap: 32.8 mL

Cevap

32.8
The correct safe administration volume is calculated through a multi-step conversion process. First, the client's weight is accurately converted to kilograms (3838 lb 88 oz is 38.538.5 lb, which equals 17.517.5 kg). Next, the single dose is found by multiplying the weight by the prescribed dosage (17.517.5 kg ×15\times 15 mg/kg = 262.5262.5 mg). Because the medication can be given every 66 hours, there is a maximum of 44 doses in 2424 hours, making the total daily dose 1,0501,050 mg. Finally, using the supplied concentration of 160160 mg/55 mL, the volume is calculated as (1,0501,050 mg ÷160\div 160 mg) ×5\times 5 mL = 32.812532.8125 mL, which rounds exactly to 32.832.8 mL.

Adım Adım Çözüm

1
Convert the client's weight into total pounds.
88 oz ÷16\div 16 oz/lb = 0.50.5 lb. Total weight = 3838 lb + 0.50.5 lb = 38.538.5 lb.
Ounces must be converted to a decimal fraction of a pound before converting to kilograms.
2
Convert the weight from pounds to kilograms.
38.538.5 lb ÷2.2\div 2.2 lb/kg = 17.517.5 kg.
The prescribed medication dosage is weight-based in kilograms.
3
Calculate the exact amount of medication required for a single dose.
17.517.5 kg ×15\times 15 mg/kg = 262.5262.5 mg/dose.
This establishes the therapeutic dose in milligrams for one administration.
4
Calculate the maximum number of doses allowed in a 24-hour period.
2424 hours ÷6\div 6 hours = 44 doses.
The medication is ordered every 6 hours, which limits administration to a maximum of 4 times per day.
5
Calculate the total daily dose in milligrams.
262.5262.5 mg/dose ×4\times 4 doses = 1,0501,050 mg.
This determines the maximum cumulative amount of the drug permitted in 24 hours.
6
Calculate the corresponding liquid volume for the total daily dose.
(1,0501,050 mg ÷160\div 160 mg) ×5\times 5 mL = 32.812532.8125 mL.
This converts the required milligrams into the administerable volume based on the pharmacy's supplied concentration.
7
Round the final answer to the nearest tenth.
32.812532.8125 mL rounds to 32.832.8.
Clinical standards and question instructions strictly require rounding to the nearest tenth of a milliliter.

Anahtar Kavram

Weight-based pediatric dosage calculation and liquid concentration conversion.
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Pharmacological Therapies

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