Aim: What is a half life of an element?

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Presentation transcript:

Aim: What is a half life of an element? Do Now: Solve the following in your notes: 212Po 4He +____ 142Pm +____ 142Nd

Half Life The half-life is the amount of time it takes for half of the atoms in a sample to decay. The half-life for a given isotope is always the same . Number of half-lives elapsed Fraction remaining Percentage remaining 1/1 100 1 1/2 50 2 1/4 25 3 1/8 12 .5 4 1/16 6 .25 5 1/32 .125 1/64 .563 7 1/128 .781

Practice Problems 1. The half-life of Th-227 is 18.2 day. How many days are required for 0.70 of a given sample to decay? 2. The half-life of Rn-222 is 3.823 day. What was the original mass of a sample of this isotope if 0.0500 g remains after 7.646 day? Try this yourself::::: 3. The half-life of Pa-234 is 6.75 hr. How much (what fraction) of a sample of this isotope remains after 20.25 hr?

Homework # 5 1. Write nuclear equations for the following processes: a. Ra-226 decays by α-emission. b. The result of the β-decay of an isotope is Mg-22. 2. Carbon-14 has a half-life of 5730 y. How much of a 144 g sample of carbon-14 will remain after 1.719 × 104y? 3. If the half-life of uranium-235 is 7.04 × 108 y and 12.5 g of uranium-235 remain after 2.82 × 109 y, how much of the radioactive isotope was in the original sample?