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During nuclear explosion, one of the products is .^(90)"Sr"with half-life of 28.1 y. If 1mug " of "^(90)"Sr" was absorbed in the bones of a newly born baby instead of calcium, how much of it will remain after 10y and 60y if it is not lost metabolically. |
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Answer» Solution :Given, DECAY constant of `.^(90)"Sr"=(0.693)/(t_(1//2))=(0.693)/(28.1)` `"" =2.47xx10^(-2)y^(-1)` Amount LEFT after 10t: `K=(2.303)/(t)log.(a)/(a-x)` Given, `a=1,t=10y,k=2.47xx10^(-2)y^(-1)` `therefore2.47xx10^(-2)=(2.303)/(10)log.(1)/(a-x)` or, `log(a-x)=-0.1072" or, " (a-x)=0.7813mug` Amount left after 60y `2.47xx10^(-2)=(2.303)/(60)log.(1)/(a-x)` or, `log(a-x)=-0.6435" or, " (a-x)=0.2272mug` |
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