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13 May, 20:12

If we start with 400 atoms of a radioactive substance, how many would remain after one half-life? After 2 half-lives? After 3 half-lives? After 4 half-lives?

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  1. 13 May, 22:40
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    how many would remain

    after one half-life = 200 atoms

    After 2 half-lives = 100 atoms

    After 3 half-lives = 50 atoms

    After 4 half-lives = 25 atoms

    Explanation:

    Given;

    Initial amount = 400 atoms

    Half life is the time taken to decay half of a radioactive material.

    how many would remain after one half-life;

    = 400/2 = 200 atoms

    After 2 half-lives;

    = 400/2^2 = 400/4

    = 100 atoms

    After 3 half-lives

    = 400/2^3 = 400/8

    = 50 atoms

    After 4 half-lives

    = 400/2^4 = 400/16

    = 25 atoms
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