High School

The dosage of quinine when a 145 lb adult takes a 200 mg tablet is ____ µg drug per kg of body weight.

1) 4.41 x 10⁵
2) 1.38 x 10⁶
3) 3.04 x 10³
4) 1.60 x 10³
5) 15.2

Answer :

Final answer:

To calculate the dosage of quinine per kg for a 145 lb adult taking a 200 mg tablet, we convert the adult's weight to kilograms and the dosage to micrograms. So the correct answer is option 3.

Explanation:

The question asks for the dosage of quinine per kg of body weight when a 145 lb adult takes a 200 mg tablet. To find the dosage in micrograms (μg) per kilogram, we first need to convert the person's weight from pounds to kilograms. There are approximately 0.453592 kilograms in a pound. Therefore, 145 lbs converts to approximately 65.77 kg (145 lbs × 0.453592).

Next, to find the dosage in micrograms per kilogram, we first convert the dosage from milligrams to micrograms. There are 1,000 micrograms in a milligram, so 200 mg is equal to 200,000 μg. Finally, we divide the total dosage in micrograms by the person's weight in kilograms to find the dosage per kilogram:

  • Total dosage in μg: 200,000 μg
  • Weight in kg: 65.77 kg
  • Dosage per kg: 200,000 μg / 65.77 kg = 3,040 μg/kg

Therefore, the dosage of quinine for a 145 lb adult taking a 200 mg tablet is 3,040 μg drug per kilogram of body weight.