74. 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

Explanation:

The correct first dose for a 3-year-old child weighing 36 pounds is 27 mg.

To calculate the first dose, we first convert the child's weight from pounds to kilograms. Since 1 pound is approximately 0.453592 kg, a 36-pound child weighs about 16.33 kg. The recommended dose is 5 mg/kg/day, which gives us a total daily dose of approximately 81.65 mg. Dividing this by 3 (for the three doses) results in a first dose of 27 mg.

A) 27

This option is correct as it reflects the proper calculation of the dosage. We converted the weight from pounds to kilograms and then applied the recommended dosage, leading us to a first dose of 27 mg.

B) 60

This option is incorrect because it does not correspond with the calculated first dose. A dosage of 60 mg would imply a daily requirement that exceeds the recommended amount for a child of this weight.

C) 82

This option is also incorrect. While 82 mg may seem close to the total daily dose, it does not account for the divided dosing schedule of q8h and would be inappropriate for a single dose.

D) 180

This option is incorrect as well. A dose of 180 mg is excessively high and not in alignment with the recommended dosage based on the child's weight, which is significantly lower than this option suggests.

Conclusion

The correct answer, 27 mg, is determined through accurate weight conversion and proper application of the prescribed dosage guidelines. All other options fail to meet the requirements set forth for the child's weight and the recommended dosing schedule, demonstrating a misunderstanding of the dosage calculations involved.