Question

Difficulty: Very hardPharmacological Therapies

A practical nurse is caring for a pediatric client who weighs 60 lb 8 oz60\text{ lb } 8\text{ oz}. The health care provider originally prescribed valproic acid 18 mg/kg/day18\text{ mg/kg/day} PO divided into equal doses administered every 8 hours. Due to a recent subtherapeutic serum trough level, the provider wrote a new prescription to increase the client's total daily dose by 25%25\%. The pharmacy dispenses valproic acid oral syrup at a concentration of 250 mg/5 mL250\text{ mg}/5\text{ mL}.

How many mL should the practical nurse administer for ONE dose? (Record answer to the nearest tenth. Do not include units in answer.)

Answer: 4.1 mL

Answer

4.1
The correct calculation requires converting the client's weight from pounds and ounces to kilograms, determining the base daily dose, applying a 25% increase, dividing that amount by 3 to account for the every 8-hour schedule, and finally using the pharmacy's supplied concentration to find the liquid volume per dose.

Step-by-Step Solution

1
Convert the client's weight from pounds and ounces to kilograms.
27.5 kg27.5\text{ kg}
Since 16 ounces equal 1 pound, 8 ounces is 0.5 pounds, making the total weight 60.5 pounds. Dividing by 2.2 lb/kg yields the weight in kilograms (60.5÷2.2=27.560.5 \div 2.2 = 27.5).
2
Calculate the baseline total daily dose of valproic acid.
495 mg/day495\text{ mg/day}
Multiply the client's weight in kilograms by the prescribed base rate of 18 mg/kg/day18\text{ mg/kg/day} (27.5×18=49527.5 \times 18 = 495).
3
Calculate the newly prescribed increased total daily dose.
618.75 mg/day618.75\text{ mg/day}
The provider increased the dose by 25%25\%. Multiply the baseline daily dose by 1.25 (or add 25%25\% of 495) to find the new required daily amount (495×1.25=618.75495 \times 1.25 = 618.75).
4
Determine the amount of medication required for a single dose.
206.25 mg/dose206.25\text{ mg/dose}
The medication is scheduled to be administered every 8 hours, which equals 3 doses per 24-hour period (24÷8=324 \div 8 = 3). Divide the new total daily dose by 3 (618.75÷3=206.25618.75 \div 3 = 206.25).
5
Calculate the volume of oral syrup to administer for one dose.
4.125 mL4.125\text{ mL}
Use the desired over have formula: (Desired / Have) * Volume. The desired dose is 206.25 mg206.25\text{ mg}, and the supplied concentration is 250 mg250\text{ mg} per 5 mL5\text{ mL} ((206.25÷250)×5=4.125(206.25 \div 250) \times 5 = 4.125).
6
Round the final volume to the nearest tenth as instructed.
4.1 mL4.1\text{ mL}
The hundredths place is 2 (which is less than 5), so the tenths place remains unchanged.

Key Concept

Complex pediatric weight-based dosage calculation including percentage adjustments and fractionated daily dosing.
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