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The dosage for an antibiotic is prescribed at 8.0 mg per kilogram of body weight taken it twice daily for 2 weeks what total mass of antibiotic will be taken by a 180 lb person for the two week period?

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maacastrobr

Answer:

18.2784 g

Explanation:

First we convert 180 lb to kg:

  • 1 lb = 0.453 kg
  • 180 lb * 0.453 kg / lb = 81.6 kg

Now we calculate the mass of antibiotic taken in one day:

  • 8.0 mg/kg * 81.6 kg = 652.8 mg

Given that it is taken twice daily, in one day the person would take (652.8 * 2) 1305.6 mg. In grams that mass would be:

  • 1305.6 mg / 1000 = 1.3056 g

Finally we multiply those 1.3056 daily grams by the 14 days in two weeks:

  • (1.3056 g) * 14 = 18.2784 g

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