Carbon-14 is a radioactive isotope used to date objects. If A 0 represents the initial amount of
Question:
Carbon-14 is a radioactive isotope used to date objects. If A0 represents the initial amount of carbon-14 in the object, then the quantity remaining at time t, in years, is
A(t) = A0e−0.000121t.
(a) A tree, originally containing 185 micrograms of carbon-14, is now 500 years old. At what rate is the carbon-14 decaying now?
(b) In 1988, scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained 91% of the amount of carbon-14 in freshly made cloth of the same material. According to this data, how old was the Shroud of Turin in 1988?
Step by Step Answer:
a We first substitute A 0 185 differentiate At and substitute t 500 At 185e 0000121t At ...View the full answer
Applied Calculus
ISBN: 9781119275565
6th Edition
Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale
