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An artifact was found and tested for its carbon-14 content. If 84% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon-14 has a half-life of 5,730 years.

  • algebra -

    0.84 = (0.50)^(t/5730)
    t/5730 = log0.85/log0.50 = 0.23447
    t = 1343 years
    (Round it to 1300 years)

  • algebra -

    The half-life of 234U, uranium-234, is 2.2.52 x 10 5th power years. If 97.4% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has elapsed?

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