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During nuclear explosion, one of the pro...

During nuclear explosion, one of the products is `.^(99)Sr` with half`-` life of `28.1 `years. If `1 mug` of `.^(90)Sr` was absorbed in the bones of a newly born baby instead of calcium, how much of its will remain after 10 years and 60 years if it is not lost metabolically.

Text Solution

Verified by Experts

`t_(1//2)` for `Sr^(90)=28.1 yr`
`:. K=0.693/28.1 yr^(-1)`
Now, `t=2.303/K"log"a/((a-x))( :' a=1 mug)`
At `t=10 yr`
`10=(2.303xx28.1)/0.693"log" 1/((1-x))`
`:.` amount of Sr left `=(1-x)=0.7814 mug`
At `t=60 yr, 60=2.303/0.693"log"1/((1-x))`
`:. (1-x)=0.227 mug`
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