algebra

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The half-life of 234U, uranium-234, is 2.52 105 yr. If 97.7% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has elapsed?

  • algebra -

    .5 = e^2.52*10^5 k
    ln .5 = 2.52 * 10^5 k
    k =-2.75*10^-6

    ln .977 = -2.75*10^-6 t
    t = 8460 years
    = 8,000 years

  • algebra -

    .977=1e^(.693t/thalf)

    take lne of each side.
    ln.977=.692t/th

    t= thalf*ln.977/.693

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