Chem_215_Lect_41_color

Chem_215_Lect_41_color - Radioactive Decay First Order Rate...

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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 = Concentration ln Concentration
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2 Half Lives
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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.
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