Answer to Question #200408 in General Chemistry for Jerry

Question #200408

Suppose a piece of cloth was found to contain a third of its original C-14/C12

 ratio, what is the approximate age of the sample? State any assumptions you

 made during calculation.


1
Expert's answer
2021-06-01T02:46:24-0400

answer; age of sample is 8844 years.



Let,


be new ratio



sol.





but we know that is stable isotope,

therefore,


we get,



we have half life of C14 as = 5580 years


..............................1


now using,



we get,


...............................2


using 1 and 2 we get,





therefore age of sample is 8844 years.





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