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Published byAugust Mathews Modified over 9 years ago
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Review
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What type of decay will happen if the nucleus contains too many neutrons? Beta Decay
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Alpha Decay
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+ + - - - - - - - -
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Part II Nuclear Stability Half-Life
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Nuclear Stability Depends on the neutron to proton ratio.
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Band of Stability Number of Protons (Z) Number of Neutrons, (N)
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What happens to an unstable nucleus? They will undergo decay The type of decay depends on the reason for the instability
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Radioactive Half-Life (t 1/2 ): The time for half of the radioactive nuclei in a given sample to undergo decay.
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Common Radioactive Isotopes Isotope Half-Life Radiation Emitted Carbon-14 5,730 years Radon-222 3.8 days Uranium-235 7.0 x 10 8 years Uranium-238 4.46 x 10 9 years
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Radioactive Half-Life After one half life there is 1/2 of original sample left. After two half-lives, there will be 1/2 of the 1/2 = 1/4 the original sample.
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Graph of Amount of Remaining Nuclei vs Time A=A o e - t A
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Example You have 100 g of radioactive C-14. The half-life of C-14 is 5730 years. How many grams are left after one half-life? Answer:50 g How many grams are left after two half-lives?
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Formula Amount Remaining = (Initial Amount) x (1/2) n Where: n = to the number of half lives You can calculate n by taking the elapsed time and dividing it by the duration of a half life of the substance.
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Problem A sample of 3x10 7 Radon atoms are trapped in a basement that is sealed. The half-life of Radon is 3.83 days. How many radon atoms are left after 31 days? answer:1.2x10 5 atoms
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