The half-life of cobalt-60 is 5.26 years. If 50 g are left after 15.8 years, how many grams were in the original sample?

Question

The half-life of cobalt-60 is 5.26 years. If 50 g are left after 15.8 years, how many
grams were in the original sample?

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Xavia 4 years 2021-08-27T07:05:35+00:00 1 Answers 26 views 0

Answers ( )

  1. bonexptip
    0
    2021-08-27T07:06:38+00:00
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    Answer:

    400 g

    Explanation:

    The computation of the number of grams in the original sample is shown below:

    Given that

    half-life = 5.26 years

    total time of decay = 15.8 years

    final amount = 50.0 g

    Now based on the above information  

    number of half-lives past is

    =  15.8 ÷ 5.26

    = 3 half-lives

    Now

    3 half-lives = 1 ÷ 8 remains = 50.0 g

    So, the number of grams would be

    = 50.0 g × 8

    = 400 g

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