# Maximum dating age equation

Each radioactive isotope will have its own unique half-life that is independent of any of these factors.Figure \(\Page Index\): For cobalt-60, which has a half-life of 5.27 years, 50% remains after 5.27 years (one half-life), 25% remains after 10.54 years (two half-lives), 12.5% remains after 15.81 years (three half-lives), and so on. The half-lives of many radioactive isotopes have been determined and they have been found to range from extremely long half-lives of 10 billion years to extremely short half-lives of fractions of a second.Example \(\Page Index\) If there are 60 grams of \(\ce\)-240 present, how much \(\ce\)-240 will remain after 4 hours?(\(\ce\)-240 has a half-life of 1 hour) Solution \[\text = \dfrac (60 \, \text) \nonumber\] After 4 hours, only \(3.75 \: \text\) of our original \(60 \: \text\) sample would remain the radioactive isotope \(\ce\)-240.During natural radioactive decay, not all atoms of an element are instantaneously changed to atoms of another element.

Play a game that tests your ability to match the percentage of the dating element that remains to the age of the object.

Carbon dating has given archeologists a more accurate method by which they can determine the age of ancient artifacts.

Libby invented carbon dating for which he received the Nobel Prize in chemistry in 1960.

\[720\cancel\times \dfrac= 30\, days \nonumber\] \[n=3 =\dfrac \nonumber\] \[\text = \dfrac (8.0 \, ug) \nonumber\] After 720 hours, 1.0 ug of the material remains as \(\ce\)-225 .

For example, carbon-14 has a half-life of 5,730 years and is used to measure the age of organic material.