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The beta activity of `1 g` of carbon made from green wood is 15.3 counts per minute. If the activity of `1 g` of carbon derived from the wood of an Egyptian mummy case is 9.4 counts per minute under the same conditions, how old is the wood of the mummy case? |
Answer» ` K = 0.693//t_(1//2) = 0/693//5770` `= 1.20 xx 10^(4) "year"^(-1)` log `N_(0)//N_(1) = Kt//2.303` `1.20 xx 10^(-4) xx t//2.303 = "log" N_(0)//N_(t)` `"log" 15.3//9.4` Hence `t = 2.303//1/20 xx 10^(-4) "log" 15.3//9/4` `= 3920` years |
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