Dr. Mars

Half-life: carbon-14 and the age of old wood

1 min 46 s. The words are spoken and shown in the picture; the player can also show them as subtitles.

For the Earth and Space Sciences Regents. Topic: Radiometric dating and half-life, with the past questions on it.

What Dr. Mars says (the words of the video)

How does carbon-14 tell the age of old wood?

Wood holds carbon-14, a radioactive kind of carbon.

After the tree dies, no new carbon-14 comes in.

Radioactive atoms decay into another element.

Carbon-14 decays into nitrogen-14.

Half-life: the time for half of the radioactive atoms to decay.

For carbon-14, it is five thousand seven hundred thirty years.

Watch: atoms decay one at a time, at random.

Dr. Mars moves the nitrogen-14 aside and writes the count.

Decayed atoms are not lost: they changed into nitrogen-14.

After one half-life, thirty-two are left: one half.

In the next half-life, half of the rest decay.

After two half-lives, sixteen are left: one quarter.

One more half-life: half of the sixteen decay.

The fraction left tells the age.

One eighth left: three half-lives, or seventeen thousand one hundred ninety years.

Check yourself! Wood has one quarter of its carbon-14 left. How old is it: A, B, or C?

Think: how many half-lives make one quarter?

Answer: B! Two half-lives: eleven thousand four hundred sixty years.

Dr. Mars moved the decayed half aside twice.

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