Answer :

Final answer:

A 165-pound person contains approximately 2993.7072 milligrams of iron, calculated by converting their weight to kilograms, determining the iron weight using the body's iron content percentage, and converting this weight to milligrams.

Explanation:

To calculate the amount of iron in milligrams that a 165-pound person contains, we follow these steps:

  1. Convert the person's body weight from pounds to kilograms. Since 1 pound is equivalent to 0.453592 kilograms, we multiply 165 pounds by 0.453592 to get the weight in kilograms.
  2. Calculate the iron content by weight. Using the percentage of iron in the human body (0.0040%), we multiply the body weight in kilograms by this percentage to get the weight of iron in the same unit (kilograms).
  3. Convert the weight of the iron from kilograms to milligrams. Since 1 kilogram is equal to 1,000,000 milligrams, we multiply the weight of the iron in kilograms by 1,000,000 to get the weight in milligrams.

Step 1: 165 lbs × 0.453592 kg/lb = 74.84268 kg
Step 2: 74.84268 kg × 0.0040% = 0.0029937072 kg
Step 3: 0.0029937072 kg × 1,000,000 mg/kg = 2993.7072 mg

Therefore, a 165-pound person contains approximately 2993.7072 mg of iron.

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Rewritten by : Barada

Answer:

in a body of 165 pounds, the iron content is 2993.707 mg

Explanation:

  • % iron = 0.0040% = (mass iron / mass human) * 100

⇒ mass iron / mass human = 4 E-5

∴ mass human = 165 pounds

⇒ mass iron = 165 pounds * 4 E-5

⇒ mass iron = 6.6 E-3 pounds * ( 453.592 g/pound ) * ( 1000 mg/g )

⇒ mass iron = 2993.707 mg iron