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Radioactivity Decay Constant Activity Exponential decay By Hannah I. Terhorst
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Decay Constant The decay constant λ of the radio-nuclide is the probability that an individual nucleus will decay within a unit of time. λ = decay constant Exp. 0.2 s -1 = every nucleus has a 0.2 chance of decaying in one second 1
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Activity The activity A of a source is the number of its nuclei that decay in unit time. Unit: 1 becquerel (Bq) is an activity of 1 decay per second 2
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Exponential decay the number of nuclei in a sample always decreases in the same way t ½ = half time different half-lives vary widely from seconds to millions of years It is the time taken for half the radioactive nuclei to decay. Exponential decay curve 3
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The higher the probability of decay λ the more rapidly nuclide decay the shorter is half-life 4
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The age of rocks Measuring how many 238 U changed to 206 Pb Uranium-238 has a very long half-life of 4500 million years stable nuclide lead-206 Other nuclides in the decay chain can be ignored 5
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Carbon dating Carbon-14 ( 14 C) half-life of 5730 years All living things take 14 C more usual 12 C (photosynthesis) 14 C slowly decays percentage slowly decreases Used to date bones, wood, paper, cloths 6
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Exp. Egyptian mummy Step 1 Step 2 7
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Source Book page 342, 343, 345
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