Question

My Notes Ast our Teacher Scientist can determine the age of andient objects by a method called radiocarbon dating. The bombardment of the upper atmosphere by cosmic rays converts nitrogen to a radioactive isotope of carbon, 1C, with a haf-ife of about 5730 years. Vegetation absorbs carbon dioxide through the atmosphere and animal life assimilates through food chains. When a plant or animal dies, t stops replacing its carbon and the amount of1C begins to decrease through radioactive decay. Therefore, the level of radioactivity must also decay exponentially. A parchment fregment was discovered that had about 64% as much 14C radoactivity as does plant material on Earth today. Estimate the age of the parchment. (Round your answer to the nearest hundred years.) yr Need Help? wwwh Read to Tek to Tuter

Answer 1

C PIt et Lat P(t) psusent am out O 14C time t at = PLE Po e-Kt -) 七y2)naulf life 5730 ニ) Plty2)P こんコっー 2 e ードty2 e Ln (2) ヒty2 In(2) K S730 1

: . 64 Po Pl Po eK 6 4- (e-k) 64 E/S730-64 > -tl n (2) S730 yes 3 7o 0 years 3 689.3/yry a