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An old piece of wood has 25.6% as much a...

An old piece of wood has 25.6% as much as `""^(14)C` as ordinary wood today has. Find the age of the wood. Half life period of `""^(14)C` is 5760 years.

Text Solution

Verified by Experts

Le the amount of 14C present in wood originally be a. Then, the amount of `""^(14)C` present now in old wood `=(a-x)`
`N=(25.6)/(100)a=0.256a`
half life = 5760 years
`lambda=(0.693)/(5760)=1.203xx10^(-4)"year"^(-1)`
`t = ?`
`therefore" "t=(2.303)/(lambda)log""(N_0)/(N)`
`=(2.303)/(1.203xx10^(-4))log""(a)/(0.256a)` `=11329` years
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