
|
half-life
No one can say for sure when a particular nucleus
will decay but one can predict how many in a given sample will
decay over time. Radioactive elements have a half-life. The half
life of any given element is the time that is required for one half
of the sample to decay. So if you have 10 grams of a radioactive
element, after one half-life there will be 5 grams of the
radioactive element left. After another half-life, there will be
2.5 g of the original element left, after another half-life, 1.25 g
will be left. The equation for half-life calculations is as
follows:
- AE is the amount of substance
left
- A0 is the original amount of
substance
- t is the elasped time
- t1/2 is the half-life of the
substance
Other variations on the half-life equation are as follows:
An example problem is if you originally had 157
grams of carbon-14 and the half-life of carbon-14 is 5730 years,
how much would there be after 2000 years?
There would be 123 grams left. |