QuestionApril 29, 2025

__ 3. How many mg of mercury are contained in a 150. g sample of tissue that has a mercury concentration of 0.20 ppb? A) 3.0times 10^-2mg B) 3.0 mg C) 3.0times 10^-11mg D) 3.0times 10^-5mg E) 3.0times 10^-8mg

__ 3. How many mg of mercury are contained in a 150. g sample of tissue that has a mercury concentration of 0.20 ppb? A) 3.0times 10^-2mg B) 3.0 mg C) 3.0times 10^-11mg D) 3.0times 10^-5mg E) 3.0times 10^-8mg
__ 3. How many mg of mercury are contained in a 150. g sample of tissue that has a mercury concentration of 0.20 ppb? A) 3.0times 10^-2mg B) 3.0 mg C) 3.0times 10^-11mg D) 3.0times 10^-5mg E) 3.0times 10^-8mg

Solution
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Answer

3.0\times 10^{-5} \text{ mg} Explanation 1. Understand ppb Definition 0.20 ppb means 0.20 parts of mercury per billion parts of tissue by mass. 2. Convert ppb to mg Calculate mercury in mg: 0.20 \text{ ppb} = 0.20 \times 10^{-9} g/g. For a 150 g sample, mercury mass is 0.20 \times 10^{-9} \times 150 g. 3. Convert grams to milligrams Convert the result from grams to milligrams: 0.20 \times 10^{-9} \times 150 \times 1000 mg.

Explanation

1. Understand ppb Definition<br /> 0.20 ppb means 0.20 parts of mercury per billion parts of tissue by mass.<br /><br />2. Convert ppb to mg<br /> Calculate mercury in mg: $0.20 \text{ ppb} = 0.20 \times 10^{-9}$ g/g. For a 150 g sample, mercury mass is $0.20 \times 10^{-9} \times 150$ g.<br /><br />3. Convert grams to milligrams<br /> Convert the result from grams to milligrams: $0.20 \times 10^{-9} \times 150 \times 1000$ mg.
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