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Half-Lives. 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. Determining Half-Life. Half-Lives are Exponential. Calculating Amount Remaining. initial mass.

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Presentation Transcript
half lives1
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
calculating amount remaining
Calculating Amount Remaining

initial mass

mt = m0 x (0.5)n

mass remaining

# of half-lives

other terms of n
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.
sample 1
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?

sample 2
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?
sample 3
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.