Estimating Polonium Ingestion in the Litvinenko Case
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The following quantities appear in the problem:
Masse \(m\) / Energie \(E\) / Aktivität \(A\) / Leistung \(P, \Phi\) / molare Masse \(M\) / Stoffmenge \(n\) / Zerfallskonstante \(\lambda\) / Anzahl \(N\) /
The following formulas must be used to solve the exercise:
\(A = \lambda \cdot N \quad \) \(m = nM \quad \) \(P = A \cdot E_1 \quad \)
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Exercise:
On November the Russian -- and later British -- elligence agent Alexander Litvinenko was poisoned with polonium which emitted a radiation output of PO. It is ased that the isotope isotopePo with a half-life of TO and an atomic mass of MO was added to his tea. He was thus ernally exposed to the upalpha radiation of this isotope which has a decay energy of EeO per event. How much polonium by mass did he unknowingly ingest?
Solution:
Das radioaktive Polonium hatte A fracPE_ fracPEe A Aktivität. Aufgrund der Halbwertszeit entspricht das N fracAlambda fracAfracln T fracATln fracAlam fracA Tln N n n vorhandenen radioaktiven Polonium--Isotopen. Diese haben m N m_ fracATln m_ fracPTE_ ln m_ N M m approx mS mP- Masse. m fracPTm_E_ ln mS mP- Ausrufbox Litwinenko ist Tage später am . November in London an den Folgen der Vergiftung gestorben. Ausrufbox
On November the Russian -- and later British -- elligence agent Alexander Litvinenko was poisoned with polonium which emitted a radiation output of PO. It is ased that the isotope isotopePo with a half-life of TO and an atomic mass of MO was added to his tea. He was thus ernally exposed to the upalpha radiation of this isotope which has a decay energy of EeO per event. How much polonium by mass did he unknowingly ingest?
Solution:
Das radioaktive Polonium hatte A fracPE_ fracPEe A Aktivität. Aufgrund der Halbwertszeit entspricht das N fracAlambda fracAfracln T fracATln fracAlam fracA Tln N n n vorhandenen radioaktiven Polonium--Isotopen. Diese haben m N m_ fracATln m_ fracPTE_ ln m_ N M m approx mS mP- Masse. m fracPTm_E_ ln mS mP- Ausrufbox Litwinenko ist Tage später am . November in London an den Folgen der Vergiftung gestorben. Ausrufbox