# 7.3 The decay rate of the isotope carbon-14 (14C) is often used to establish the date...

###### Question:

7.3 The decay rate of the isotope carbon-14 (14C) is often used to establish the date on which carbon-containing matter died. In the upper atmosphere, cosmic radi- ation synthesizes 14C. This process balances the loss of 14C through radioactive decay. Living matter, which exchanges carbon with atmospheric carbon diox- ide and maintains its 14C level, produces 15.3 disintegrations per minute per gram of carbon it contains. Dead organisms no longer exchange carbon with the atmosphere, and the 14C content decreases with time because of radioactive decay. A 0.5 g sample of a plant from an excavation shows 3.5 disintegrations per minute from its 14C. How long ago did the plant die?

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