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The radioactive isotope carbon-14 is present small quantities in all life forms, and it is constantly replenished until the organism dies, after which it decays to stable carbon-12 at a rate proportional to the amount of carbon-14 present with a half-life of 5598 years (half-life is how long it takes for half of the carbon-14 to decay). Suppose C(t) is the amount of carbon-14 present at time t. Find the value of the constant & in the differential equation C'=-kC. k= help (numbers) scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained about 91 percent of the amount of carbon-14 contained in freshly made cloth of the same material[1]. How was old the Shroud of Turin in 1988. In 1988 three teams according to these data? Age = years help (numbers) [1]: The New York Times, October 18, 1988.

The radioactive isotope carbon-14 is present small quantities in all life forms, and it is constantly replenished until the organism dies, after which it decays to stable carbon-12 at a rate proportional to the amount of carbon-14 present with a half-life of 5598 years (half-life is how long it takes for half of the carbon-14 to decay). Suppose C(t) is the amount of carbon-14 present at time t. Find the value of the constant & in the differential equation C'=-kC. k= help (numbers) scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained about 91 percent of the amount of carbon-14 contained in freshly made cloth of the same material[1]. How was old the Shroud of Turin in 1988. In 1988 three teams according to these data? Age = years help (numbers) [1]: The New York Times, October 18, 1988.

Chemistry for Today: General, Organic, and Biochemistry
Chemistry for Today: General, Organic, and Biochemistry
9th Edition
ISBN:9781305960060
Author:Spencer L. Seager, Michael R. Slabaugh, Maren S. Hansen
Publisher:Spencer L. Seager, Michael R. Slabaugh, Maren S. Hansen
Chapter10: Radioactivity And Nuclear Processes
Section: Chapter Questions
Problem 10.17E
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The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is constantly replenished until the organism dies, after which it decays to stable carbon-12 at a rate proportional to the amount of carbon-14 present, with a half-life of 5598 years (half-life is how long it takes for half of the carbon-14 to decay). Suppose C'(t) is the amount of carbon-14 present at time t. Find the value of the constant k in the differential equation C' =-kC. k = help (numbers) In 1988 three teams of scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained about 91 percent of the amount of carbon-14 contained in freshly made cloth of the same material[1]. How was old the Shroud of Turin in 1988, according to these data? Age = years help (numbers) [1]: The New York Times, October 18, 1988.
Transcribed Image Text:The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is constantly replenished until the organism dies, after which it decays to stable carbon-12 at a rate proportional to the amount of carbon-14 present, with a half-life of 5598 years (half-life is how long it takes for half of the carbon-14 to decay). Suppose C'(t) is the amount of carbon-14 present at time t. Find the value of the constant k in the differential equation C' =-kC. k = help (numbers) In 1988 three teams of scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained about 91 percent of the amount of carbon-14 contained in freshly made cloth of the same material[1]. How was old the Shroud of Turin in 1988, according to these data? Age = years help (numbers) [1]: The New York Times, October 18, 1988.
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