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  • 01-06-2017
  • Chemistry
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A wooden boat discovered just south of the great pyramid in egypt has a carbon-14>carbon-12 ratio that is 72.5% of that found in living organisms. how old is the boat

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meerkat18
meerkat18 meerkat18
  • 13-06-2017
The half life for C14 is 5730 years.

We assume that Carbon 14/ Carbon 12 ratio was steady for living organisms over time, the problem is actually telling us that
[tex] \frac{Nt}{N0} [/tex] = 0.0725 = [tex] \frac{1}{2} [/tex]ˣ

Take the natural logarithm and In on both sides.
ln(0.725) = ln[tex] \frac{1}{2} [/tex]ˣ
= - 0.3216 = xln ([tex] \frac{1}{2} [/tex] = -0.6931x.
So x = (-.3216) / (-0.6931) = 0.464
or

t/t₁/₂ = 0.464
So t = 0.464 x t₁/₂ = 0.464 * 5730 yrs = 2660 years.
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