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22 January, 14:25

Sciencium-380 has a half-life of 3 days. If you started with a 100 gram sample, how much Sciencium-380 will remain after 9 days?

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Answers (2)
  1. 22 January, 17:34
    0
    12.5 grams

    Explanation:

    Solution:-

    - By definition, the half-life is the amount of time t that a substance of mass M to decay to half its its initial mass.

    - We are given the mass of the Sciencium-380, M = 100 g

    - The half-life for the radioactive isotope is, h = 3 days

    - The amount of mass left after t = 9 days.

    - We will first estimate the number of half-lives that have passed in te duration of t = 9 years.

    - The number of half lives are:

    n = t / h

    n = 9 / 3

    n = 3

    - For every half life the mass is halved or mathematically the mass (m) of a substance remaining after " n " number of half lives can be expressed as:

    m = M*0.5^n

    - Plug in the given values and evaluate the mass (m) of the substance after n = 3 half lives.

    m = 100*0.5^3

    m = 12.5 grams.

    Answer: We are left with 12.5 grams of Sciencium after 3 half lives have passed.
  2. 22 January, 17:53
    0
    Answer: 12.5 grams will remain.

    Explanation:

    The half life time means that if we start with a quantity A of a given subtance/material, after the half time we will have half that quantity, or A/2.

    We know that the half life of Sciencium-380 is 3 days.

    So if we have 100 grams, after 3 days we will have 100/2 = 50 grams.

    After other 3 days we will have 50/2 = 25 grams

    After other 3 days we will have 25/2 = 12.5 grams.

    So if we start with 100 grams, after 9 days we will have 12.5 grams.
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