Chem_215_Lect_41_color - Radioactive Decay: First Order...

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1 Radioactive Decay: First Order Rate = k[A] Integrated Rate Law: ln[A] t = ln[A] o -k ± t Slope = -k k in units of s -1 [A] t =[A] o e -kt k 693 . 0 t 1/2 =
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2 Half Lives
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3 Radiocarbon Dating: Carbon-14 – produced in atmosphere by reaction of neutrons from space: – Radioactivity due to decay via β - emission: – Carbon-14 is at steady state: the rate of production and decay are equal. – A living plant uses CO 2 in photosynthesis, incorporating carbon-14 into its structure. – While alive, the carbon-14 to carbon-12 ratio in plants remains the same as that of the atmosphere due to constant carbon uptake. – However, as soon as a plant dies, the 14:12 ratio begins to decease due to radioactive decay. – Since the half life of carbon-14 is 5730 years, by measuring the carbon isotope ratio, the age of objects can be determined. – For example, if an object contains only half of the normal amount of C-14, its age is about 5700 years. – One complication is that the Carbon isotope ratio in the atmosphere has not
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Chem_215_Lect_41_color - Radioactive Decay: First Order...

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