Calculate the age of the Shroud of Turin given that the amount of 14 C found in

Question:

Calculate the age of the Shroud of Turin given that the amount of 14C found in it is 92% of that in living tissue.


Strategy

Knowing that 92% of the 14C remains means that N/N0 = 0.92. Therefore, the equation N = Noe-Arcan be used to find λt. We also know that the half-life of 14C is 5730 y, and so once λt is known, we can use the equation = 0.693 1/2 2=  to find λ and then find t as requested. Here, we postulate that the decrease in 14C is solely due to nuclear decay.

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