Half-Life
- It is impossible to know when a particular unstable nucleus will decay
- But the rate at which the activity of a sample decreases can be known
- This is known as the half-life
- Half-life is defined as:
The time taken for half the undecayed nuclei to decay or the activity of a source to decay by half
- In other words, the time it takes for the activity of a sample to fall to half its original level
- Different isotopes have different half-lives and half-lives can vary from a fraction of a second to billions of years in length
Using Half-life
- Scientists can measure the half-lives of different isotopes accurately:
- Uranium-235 has a half-life of 704 million years
- This means it would take 704 million years for the activity of a uranium-235 sample to decrease to half its original amount
- Carbon-14 has a half-life of 5700 years
- So after 5700 years, there would be 50% of the original amount of carbon-14 remaining
- After two half-lives, or 11 400 years, there would be just 25% of the carbon-14 remaining
- With each half-life, the amount remaining decreases by half
Graph showing how the activity of a radioactive sample changes over time. Each time the original activity halves, another half-life has passed
- The time it takes for the activity of the sample to decrease from 100 % to 50 % is the half-life
- It is the same length of time as it would take to decrease from 50 % activity to 25 % activity
- The half-life is constant for a particular isotope