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15 January, 23:49

The amount of a sample remaining after t days is given by the equation (0) - A

20-4 ()

where A is the initial amount of the

sample and h is the half-life, in days of the substance. A scientist has a 10-mg sample of a radioactive isotope. The isotope

has a half-life of 8 days After 16 days, how much of the radioactive isotope remains?

2.0 mg

2.5 mg

5.7 mg

7.1 mg

+5
Answers (1)
  1. 16 January, 00:09
    0
    The amount of a sample remaining after t days is given by the equation A (1 / 2) ^ (t/h)

    where A is the initial amount of the

    sample and h is the half-life, in days of the substance. A scientist has a 10-mg sample of a radioactive isotope. The isotope

    has a half-life of 8 days After 16 days, how much of the radioactive isotope remains?

    Answer: 2.5mg

    Step-by-step explanation:

    P (t) = A * (1/2) ^ (t/h)

    Where h = half life = 8days

    t = number of days = 16days

    A = Initial amount of sample = 10mg

    P (t) = 10 * (0.5) ^ (16/8)

    P (t) = 10 * (0.5) ^2

    P (t) = 10 * 0.25

    P (t) = 2.5mg
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