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https://texercises.com/exercise/beryllium-on-leaf-of-a-plant/
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The following quantities appear in the problem: Masse \(m\) / Aktivität \(A\) / molare Masse \(M\) / Stoffmenge \(n\) / Halbwertszeit \(T\) / Zerfallskonstante \(\lambda\) / Anzahl \(N\) /
The following formulas must be used to solve the exercise: \(A = \lambda \cdot N \quad \) \(T = \dfrac{\ln 2}{\lambda} \quad \) \(m = nM \quad \) \(N = n \cdot N_{\rm A} \quad \)
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Exercise:
Beryllium- is produced in the upper atmosphere and filters down onto the Earth's surface. Formelbuch It decays with a half-life of about TO. Estimate the initial mass of isotopeBe on the leaf of a plant if it is detected to have num decays per second.

Solution:
Geg T TO T A A Gesmassmsikg The detected activity of AO means that there are N fracAlambda fracAfracln T fracT Aln fracT Aln fracln AT N n fracNsscNA fracT AlnsscNA n Beryllium- isotopes present on the leaf. Because one of them has meO mass there are m N m_ fracTAln m_ fracT Aln me mb approx mbS on the leaf. Alternatively you can also compute the mass by knowing the molar mass to be MO the calculation then gives: m nM fracTAln sscNA M fracT Aln ncNA M m approx mS m fracT A MlnsscNA fracm_T A ln mS
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Exercise:
Beryllium- is produced in the upper atmosphere and filters down onto the Earth's surface. Formelbuch It decays with a half-life of about TO. Estimate the initial mass of isotopeBe on the leaf of a plant if it is detected to have num decays per second.

Solution:
Geg T TO T A A Gesmassmsikg The detected activity of AO means that there are N fracAlambda fracAfracln T fracT Aln fracT Aln fracln AT N n fracNsscNA fracT AlnsscNA n Beryllium- isotopes present on the leaf. Because one of them has meO mass there are m N m_ fracTAln m_ fracT Aln me mb approx mbS on the leaf. Alternatively you can also compute the mass by knowing the molar mass to be MO the calculation then gives: m nM fracTAln sscNA M fracT Aln ncNA M m approx mS m fracT A MlnsscNA fracm_T A ln mS
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Topic
Tags
dating, physics, radioactivity
Difficulty
(3, default)
Points
5 (default)
Language
ENG (English)
Type
Calculative / Quantity
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