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As we discussed in class, on earth the ratio of carbon 14 to carbon 12 years after the death of an
organism is given by r=1/10^12 e^(-t/8223)
On your vacation you find a beautiful ancient woven basket where the ratio of carbon 14 to
carbon 12 is 0.72*10^-12. It is approximately how many years old?
Solution
R= (1/10^12)e^(-t/8223)
Here R=.72*10^-12
.72*10^-12= (1/10^12)e^(-t/8223)
.72*10^-12 *10^12= e^(-t/8223)
.72= e^(-t/8223)
Taking ln on both sides
ln .72= -t/8223
t=-8223 ln.72
t=2701 yrs approx

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As we discussed in class, on earth the ratio of carbon 14 to carbon .pdf

  • 1. As we discussed in class, on earth the ratio of carbon 14 to carbon 12 years after the death of an organism is given by r=1/10^12 e^(-t/8223) On your vacation you find a beautiful ancient woven basket where the ratio of carbon 14 to carbon 12 is 0.72*10^-12. It is approximately how many years old? Solution R= (1/10^12)e^(-t/8223) Here R=.72*10^-12 .72*10^-12= (1/10^12)e^(-t/8223) .72*10^-12 *10^12= e^(-t/8223) .72= e^(-t/8223) Taking ln on both sides ln .72= -t/8223 t=-8223 ln.72 t=2701 yrs approx