Solutions 7

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1:

It is in total 3.58 mol = 2.1562[math]\cdot[/math] 10²⁴ atoms of potassium in a average human where 12% that is 2.5876 [math]\cdot[/math] 10²⁰ is ⁴⁰K [math]T(1/2)=1.28\cdot10^{9}=4.0283 10^{16}\,s[/math] [math]\lambda= \frac{\ln 2}/{T_{(1/2)}} = \frac{ln2}/{4.0283 10^16}=1.7206\cdot 10^{-17} s^{-1}[/math] [math]D=\lambda \cdot N= 2.5876\cdot10^{20}\cdot 1.7206\cdot 10^{-17} s^{-1}=4452.45\, Bq[/math]