# Half-Lives

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## Half-Lives

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1. Half-Lives

2. Half-Lives • Rates of radioactive decay • Measured in half-lives • But what is a half-life? • The time required for one-half of a radioisotope's nuclei to decay into its products

3. Determining Half-Life

4. Half-Lives are Exponential

5. Calculating Amount Remaining initial mass mt = m0 x (0.5)n mass remaining # of half-lives

6. Other terms of “n” • The exponent "n" can be represented as t/T, with t being the time that has passed and T being the duration of the half-life.

7. Sample #1 • If Gallium – 68 has a half-life of 68.3 minutes, how much of a 160.0 mg sample is left after 1 half life? 2 half lives? 3 half lives?

8. Sample #2 • Cobalt – 60, with a half-life of 5 years, is used in cancer radiation treatments. If a hospital purchases a supply of 30.0 g, how much would be left after 15 years?

9. Sample #3 • A sample initially contains 150.0 mg of radon-222. After 11.4 days, the sample contains 18.75 mg of radon-222. Calculate the half-life.