Exercise
https://texercises.com/exercise/iodine-131-isotopes/
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The following quantities appear in the problem: Zeit \(t\) / Aktivität \(A\) / Halbwertszeit \(T\) / Zerfallskonstante \(\lambda\) / Anzahl \(N\) /
The following formulas must be used to solve the exercise: \(A = \lambda \cdot N \quad \) \(A_t = A_0 \cdot \text{e}^{-\lambda t} \quad \) \(A_t = A_0 \cdot2^{-\frac{t}{T}} \quad \)
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Exercise:
How many iodine isotopes isotopeI with TO half-life are still present in an iodine sample with AzO activity after tO?

Solution:
Geg T TO T A_ AzO Az t tO t Gesnumber ofN After tO the sample has A_t A_ texte^-lambda t A_ ^-fractT Az texte^-lam t At activity meaning there are still N fracA_tlambda fracA_lambda texte^-lambda t fracA_Tln ^-fractT fracAtlam N approx NS isotopes present. N fracA_ Tln ^-fractT NS
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Exercise:
How many iodine isotopes isotopeI with TO half-life are still present in an iodine sample with AzO activity after tO?

Solution:
Geg T TO T A_ AzO Az t tO t Gesnumber ofN After tO the sample has A_t A_ texte^-lambda t A_ ^-fractT Az texte^-lam t At activity meaning there are still N fracA_tlambda fracA_lambda texte^-lambda t fracA_Tln ^-fractT fracAtlam N approx NS isotopes present. N fracA_ Tln ^-fractT NS
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Tags
activity, iod, iodine, nuclear, physics, radioactivity
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Difficulty
(2, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
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