High School

The dosage of quinine when an adult weighing 145 lbs takes a 200 mg tablet is equivalent to how many micrograms of drug per kg of body weight?

A) \(1.38 \times 10^3\)
B) 627
C) \(3.04 \times 10^3\)
D) \(6.27 \times 10^{-1}\)

Answer :

Final answer:

To calculate the dosage of quinine in micrograms per kilogram for a 145 lb adult taking a 200 mg tablet, convert the adult's weight to kilograms and the tablet's dosage to micrograms, then divide the total micrograms of the drug by the adult's weight in kilograms. The resulting dosage is approximately 3,040 micrograms of drug per kilogram of body weight, matching option C.So the correct answer is C) 3.04×103.

Explanation:

The question asks how to calculate the dosage of quinine in micrograms of drug per kilogram of body weight for an adult weighing 145 lbs taking a 200 mg tablet. To find the solution, we follow a three-step process:

  1. Convert the body weight from pounds (lbs) to kilograms (kg). Since 1 lb equals approximately 0.453592 kg, for a 145 lb adult, their weight in kg is calculated as 145 lbs × 0.453592 = 65.7708 kg.
  2. Convert the dosage from milligrams (mg) to micrograms (μg) since 1 mg equals 1,000 μg, the 200 mg tablet is equivalent to 200,000 μg.
  3. Calculate the dosage in μg per kg of body weight by dividing the total μg of the drug by the body weight in kg. Therefore, the dosage is 200,000 μg / 65.7708 kg = 3,040.22 μg/kg.

indicating that for an adult weighing 145 lbs taking a 200 mg tablet of quinine, the equivalent dosage is about 3,040 μg of drug per kg of body weight.

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