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The activity of the hair of an Egyptian ...

The activity of the hair of an Egyptian mummy is 7 disintegration `"min"^(-1)` of `C^(14)`. Find an Egyptian mummy. Given `t_(0.5)` of `C^(14)` is 5770 year and disintegration rate of fresh sample of `C^(14)` is 14 disintegration `"min"^(-1)`.

Text Solution

Verified by Experts

`r_(0) = 14 dpm, r = dpm`
`:. (r_(0))/(r ) = 2`
Also, rate at any time `prop` number of atoms
`: (r_(0))/(r ) = (N_(0))/(N) = 2`
Now, `t = (2.303)/(lambda) log_(10) (N_(0))/(N) = (2.303 xx 5770)/(0.693) log_(10) 2`
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