14. 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?
Answer: A
The correct first dose for the child is 27 mg.
To determine the correct first dose for a 3-year-old child weighing 36 pounds, we first convert the weight from pounds to kilograms, which is approximately 16.33 kg. Given the recommended dose of 5 mg/kg/day, the calculation for the total daily dose is 81.65 mg, which is then divided into three doses for administration every 8 hours, resulting in a first dose of 27 mg.
A) 27
This option is correct as it accurately reflects the calculation derived from the child's weight and the recommended dosage. The total daily dose is calculated as 5 mg multiplied by 16.33 kg, equaling approximately 81.65 mg. Dividing this total by 3 for the three doses per day results in a first dose of 27 mg.
B) 60
This option is incorrect. A first dose of 60 mg would exceed the calculated daily requirement based on the child's weight. The appropriate dose, when calculated correctly, yields a first dose of only 27 mg.
C) 82
This option is also incorrect. An 82 mg dose would not only exceed the necessary amount but fails to account for the division of doses throughout the day. The correct calculation indicates that a total of 81.65 mg should be divided into three doses, leading to the accurate first dose of 27 mg.
D) 180
This option is incorrect as well. A first dose of 180 mg is far too high and does not align with the established dosing guidelines for a child of this weight. The proper calculation clearly shows that the appropriate first dose should be 27 mg, making this option unviable.
Conclusion
The correct answer, 27 mg, is based on precise calculations that consider the child's weight and the recommended dosage guidelines. All other options are significantly higher than the appropriate dose, demonstrating a misunderstanding of the dosing regimen required for a child of this age and weight. Therefore, 27 mg is the only viable and safe first dose.