Half life and radioactive dating cramster

The time in which half of the original number of nuclei decay is defined as the .

After one half-life passes, half of the remaining nuclei will decay in the next half-life.

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Carbon-14 dating can be used for biological tissues as old as 50 or 60 thousand years, but is most accurate for younger samples, since the abundance of nuclei in them is greater.

One of the most famous cases of carbon-14 dating involves the Shroud of Turin, a long piece of fabric purported to be the burial shroud of Jesus (see Figure 22.28).

(b) One hour is nearly three full half-lives of the carbon-11 nucleus.

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Its remarkable negative imprint of an apparently crucified body resembles the then-accepted image of Jesus.

(credit: Butko, Wikimedia Commons) Carbon-11 has a half-life of 20.334 min. If 1 kg of carbon-11 sample exists at the beginning of an hour, (b) how much material will remain at the end of the hour and (c) what will be the decay activity at that time?

(a) The decay constant shows that 0.0568 percent of the nuclei in a carbon-11 sample will decay each second.

Therefore, the decay of a nucleus is like random coin flipping.

The chance of heads is 50 percent, no matter what has happened before.

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