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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 -

    Since we have a "half-life" situation I can use a base of 1/2

    .977 = (1/2)^(t/2.52x10^5)
    t/2.52x10^5 = ln.977/ln.5
    t = 2.52x10^5(ln.97/ln.5) = 8459.22 years or 9000 years to the nearest thousand years

    for an alternate solution see MathMate's

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