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9 August, 21:15

What is the half life of a radioisotope if you started with 1 gram and 0.250 grams is left after 6 days?

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  1. 10 August, 00:20
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    3 days

    Explanation:

    We have to use the formula;

    N/No = (1/2) ^ t/t1/2

    Where;

    N = amount of radioactive material left after a time t = 0.250g

    No = original amount of radioactive substance present = 1g

    t = time taken to decay to N = 6 days

    t1/2 = half life of the sample

    N/No = (1/2) ^ t/t1/2

    Substituting values;

    0.25/1 = (1/2) ^6/t1/2

    25/100 = (1/2) ^6/t1/2

    1/4 = (1/2) 6/t1/2

    (1/2) ^2 = (1/2) 6/t1/2

    Canceling out bases and equating powers

    2 = 6/t1/2

    t1/2 = 6/2

    t1/2 = 3 days
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