Element X is a radioactive isotope such that every 21 years, its mass decreases by half. Given that the initial mass of a sample of Element

Question

Element X is a radioactive isotope such that every 21 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 40 grams , how much of the element would remain after 9 years , to the nearest whole number?

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Ivy 2 weeks 2021-11-14T01:40:07+00:00 1 Answer 0 views 0

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    2021-11-14T01:41:35+00:00

    Answer:

    30 grams

    Step-by-step explanation:

    Use the half life equation:

    A = P (½)^(t / T)

    where P is the initial amount, t is time, and T is the half life length.

    Given P = 40, t = 9, and T = 21:

    A = 40 (½)^(9 / 21)

    A ≈ 30

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