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Determine the dosage of quinine, in micrograms per kilogram of body weight, for a 145-lb adult taking a 200 mg tablet.

A) [tex]1.38 \times 10^6[/tex] µg/kg

Answer :

To find the dosage of quinine in micrograms per kilogram of body weight, follow these steps:

1. Convert weight from pounds to kilograms:
- The weight of the adult is given as 145 pounds.
- To convert pounds to kilograms, use the conversion factor: [tex]\(1 \text{ pound} = 0.45359237 \text{ kilograms}\)[/tex].
- Calculation: [tex]\(145 \times 0.45359237 = 65.77089365 \)[/tex] kilograms.

2. Convert the dosage from milligrams to micrograms:
- The quinine dosage is given as a 200 mg tablet.
- Since there are 1000 micrograms in a milligram, convert the dosage to micrograms by multiplying by 1000.
- Calculation: [tex]\(200 \times 1000 = 200000\)[/tex] micrograms.

3. Calculate the dosage per kilogram of body weight:
- Divide the total micrograms by the weight in kilograms to find the dosage per kilogram.
- Calculation: [tex]\(\frac{200000}{65.77089365} \approx 3040.86\)[/tex] micrograms per kilogram.

Therefore, the dosage of quinine for a 145-pound adult taking a 200 mg tablet is approximately 3040.86 micrograms per kilogram of body weight.

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