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Carbon Dating. When a plant is alive, it has a constant concentration of the iso

ID: 2126161 • Letter: C

Question

Carbon Dating. When a plant is alive, it has a constant concentration of the isotope C-14 (compared to other isotopes of carbon) obtained from the atmosphere in carbon dioxide. But C-14 is radioactive, with half-life T= 5730  years. After the plant dies, the concentration of C-14 decays exponentially in time,

C14(t) = C14(0) (1/2)t/T

(A) If an archeological sample of organic material has C14 = 0.01 C14(0), what is the age of the sample (i.e., the time that has passed since the material was in a living plant)?

(B) Show that dC14/dt = -(lambda)C14 and calculate the value of ?



Explanation / Answer

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