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A recommended adult dose of Elixophyllin, a drug used to treat asthma, is 6.00 mg/kg of body mass. Calculate the dose in milligrams for a 115-lb person (1 lb = 453.59 g). Use dimensional analysis and show the solution in one string.

Answer :

Final answer:

To find the dosage in milligrams for a 115-lb person, you first convert the weight to kilograms, then multiply that by the recommended dosage (6.00 mg/kg). The dosage for a 115-lb person would be approximately 313 mg.

Explanation:

Firstly, we must convert the weight of the person from pounds to kilograms. Given that 1lb is approximately 453.59g, our calculation for a 115lb person will look like this:

  • 115 lb * 453.59 g/lb = 52163.85 g
  • And since 1 kg = 1000 g, the person's weight in kg is: 52163.85 g * (1kg/1000g) = 52.16 kg.

Then we use the recommended dosage of Elixophyllin (6.00 mg/kg) and multiply it by the person's body mass in kg:

  • 52.16 kg * 6mg/kg = 312.96 mg

The suggested dosage for a person weighing 115 lbs would be approximately 313 mg of Elixophyllin. Always remember that dosage and route of administration must be determined to ensure optimum therapeutic drug levels and minimize negative side effects. In this case, considering the patient's weight helps prevent potential medication irregularities and maximizes clinical cure.

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