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The half-life of 234U, uranium-234, is 2.52 multiplied by 105 yr. If 98.8% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has elapsed?

  • algebra -

    (1/2)^(T/2.52*10^5) = 0.988

    T is the time, in years, since it was 100% U-234.

    Solve for T. Use of logs is recommended.

    T = 4390 years

    That rounds off to 4000 years.

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