Question

Difficulty: MediumPharmacological Therapies

A pediatric client with a respiratory tract infection has an order for amoxicillin suspension. The medical record indicates the child weighs 16 kg16\text{ kg}. The prescribed dose is 45 mg/kg/day45\text{ mg/kg/day}, divided equally and given every 12 hours12\text{ hours}. The dispensed bottle contains a concentration of 250 mg/5 mL250\text{ mg}/5\text{ mL}. How many mL should be prepared for a single administration?

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

Answer: 7.2 mL

Answer

7.2
The correct volume is calculated by first determining the total daily dose based on the client's weight (16 kg×45 mg/kg/day=720 mg/day16\text{ kg} \times 45\text{ mg/kg/day} = 720\text{ mg/day}). This total is then divided into two doses because the medication is scheduled every 1212 hours, resulting in 360 mg360\text{ mg} per dose. Using the available concentration of 250 mg/5 mL250\text{ mg}/5\text{ mL}, the required volume is (360250×5=7.2 mL\frac{360}{250} \times 5 = 7.2\text{ mL}).

Step-by-Step Solution

1
Calculate the total daily dose in milligrams.
16 kg×45 mg/kg/day=720 mg/day16\text{ kg} \times 45\text{ mg/kg/day} = 720\text{ mg/day}
The prescription provides a weight-based rate for a full 24-hour period, which must be determined first.
2
Determine the amount of medication required for a single dose.
720 mg÷2 doses=360 mg/dose720\text{ mg} \div 2\text{ doses} = 360\text{ mg/dose}
The medication is ordered every 1212 hours, meaning it is administered 22 times per day.
3
Calculate the liquid volume needed to deliver the single dose.
360 mg250 mg×5 mL=7.2 mL\frac{360\text{ mg}}{250\text{ mg}} \times 5\text{ mL} = 7.2\text{ mL}
This determines the required milliliter volume of the supplied suspension that contains the target dose of 360 mg360\text{ mg}.

Key Concept

Weight-based pediatric dosage calculation and liquid volume conversion
Estimated Time:2m 0s
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