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Zerfallsgleichung von Radon

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That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:

Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise

Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise

Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise

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Level 5 -
Level 6 -

Exercise

https://texercises.com/exercise/zerfallsgleichung-von-radon/

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The following quantities appear in the problem: Zeit \(t\) / Masse \(m\) / molare Masse \(M\) / Stoffmenge \(n\) / Zerfallskonstante \(\lambda\) / Anzahl \(N\) /

The following formulas must be used to solve the exercise: \(m = nM \quad \) \(N_t = N_0 \cdot \text{e}^{-\lambda t} \quad \)

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Exercise:
Das radioaktive Nuklid isotopeRn zerfällt mit der Halbwertszeit pq.d nach der Kernreaktionsformel isotopeRn rightarrow isotopePo + isotopeHe. Zu Beginn liegen pq.mg Radon- vor. abcliste abc Wie gross ist die Masse des innerhalb von Tagen entstehen Heliums? abc Nach welcher Zeit hat man pqmg Polonium vorliegen? abcliste

Solution:
abcliste abc Anfänglich liegen n fracmM pq.molquadmboxbzw. N_ numpr.e Teilchen Radon- vor. Nach Ablauf von Tagen sind es noch N_t N_ e^-lambda t numpr.e. Also sind N N_-N_t numpr.e in jeweils einen Helium-Kern und einen Polonium-Kern zerfallen. Dieses Helium hat die Masse m_H n_HM_H fracNN_A M_H pq.g. abc Um ein Milligramm Polonium vorliegen zu haben braucht man n_P fracm_PM_P pq.molquadmboxbzw. N_P numpr.e Teilchen. Das ist der Fall wenn noch N_T N_-N_P numpr.e Teilchen vom Radon- vorhanden sind. Dazu muss die Zeit t -fraclambda lnleftfracN_TN_right pq.es pq.d. abcliste

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Tags	physik, radioaktivität, radon, zerfallsgesetz, zerfallsgleichung
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Difficulty	(3, default)
Points	4 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
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