[Answer] Approximately how old is a fossil with 12 g of Carbon -14 if it initially possessed 32 g of Carbon -14? (Given log 2.667 = 0.4260)

The Question : Approximately how old is a fossil with 12 g of Carbon -14 if it initially possessed 32 g of Carbon -14? (Given log 2.667 = 0.4260)

Solution for the question :
t = 2.303/ k log (Co/Ct)

Co = 32 g

Ct = 12 t = ?

k = 0.693/6000 (half life given in passage)

substituting in equation:

t = 2.303 / (0.693/6000) log 32/ 12

t = 2.303 x 60000 /0.693 log 2.667

t = 2.303x6000x0.4260 /0.693

 = 8494 years

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