What is the correct first dose in mg for a 3 year old child weighing 36 pounds if the recommended dose is 5 mg/kg/day in divided doses q8h?
27 mg is the correct first dose for a 3-year-old child weighing 36 pounds.
To determine the appropriate dosage, we first convert the child's weight from pounds to kilograms. Since 1 pound equals approximately 0.453592 kilograms, a child weighing 36 pounds is roughly 16.33 kg. The recommended dose of 5 mg/kg/day, divided into doses every 8 hours, results in a first dose of 27 mg.
This choice is correct. The calculation for the first dose is as follows: 36 pounds equals approximately 16.33 kg (36 lb × 0.453592 kg/lb). The daily dose is 5 mg/kg, leading to a total daily dose of 81.65 mg (16.33 kg × 5 mg/kg). Dividing this total by three (for every 8 hours) gives 27.22 mg, which rounds to 27 mg for the first dose.
This choice is incorrect. A 60 mg dose would exceed the calculated requirement based on the child's weight. The calculation shows that the total daily dose of 81.65 mg divided by three doses should yield approximately 27 mg per dose, making 60 mg significantly higher than what is recommended.
This choice is also incorrect. An 82 mg dose would imply administering a higher quantity than necessary. The correct calculation indicates that the total daily dose is 81.65 mg, and dividing it into three doses results in approximately 27 mg each time, not 82 mg.
This choice is incorrect as well. A 180 mg dose is far too high for a child weighing 36 pounds. The proper calculation shows that the maximum recommended daily dosage is 81.65 mg, which, when divided into three doses, provides about 27 mg per dose, making 180 mg excessive and unsafe.
The appropriate first dose for a 3-year-old child weighing 36 pounds, based on the recommended dosage of 5 mg/kg/day divided into doses every 8 hours, is 27 mg. This dosage ensures safety and efficacy, reflecting proper calculations that account for the child's weight and the recommended dosing guidelines.
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