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Characol pieces of tree is found from an...

Characol pieces of tree is found from an. archeological site. The carbon-14 content of this characol is only 17.5% that of equivalent sample of carbon from a living tree. What is the age of tree?

Text Solution

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`(frac(1)(2))^2=17.5%`
`(frac(1)(2))^2=0175`
`n(-"In"2)="In"(0.175)`
`n=-frac("In"(0.175))("In"2)`
`=frac(1.74296)(0.69314)`
Number of half-lives, n=2.51458
2.51458 half-lives `(frac(5730"yr")(1"yr"))`
`=2.51458 xx 5730`
`=14408.5`
`approx 1.44 xx 10^4 "yrs"`
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