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Masse von Hafnium-Isotopen

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Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.

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/masse-von-hafnium-isotopen/

Question

Solution

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

The following formulas must be used to solve the exercise: \(A = \lambda \cdot N \quad \) \(m = nM \quad \)

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Exercise:
Welche Masse des natürlich vorkommen Hafnium-Isotopes isotopeHf mit einer Zerfallskonstanten von per-modereciprocal.persecond müsste vorliegen damit man daran Bq Aktivität messen könnte?

Solution:
newqtyM.kilogrampermole newqtyld.persecond newqtyABq sisetupper-modereciprocal Geg isotopeHf Rightarrow M M lambda ld A A GesMassemsikg Falls die angegebene Aktivität durch die genannte Zerfallskonstante hervorgerufen wird so müssen solnumNAn/ldn solqtynNn/.emol al N fracAlambda fracAld N n fracNsscNA n Diese Menge dieses Hafnium-Isotopes welches .% des natürlich vorkommen Hafniums ausmacht hat folge Masse: solqtymnn * Mnkg al m nM fracAlambda sscNA M n M m Hafnium--Isotope vorliegen. m fracAMlambda sscNA m

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Contained in these collections:

Aktivität und molare Masse by TeXercises

2 | 18

Asked Quantity: Masse \(m\) in Kilogramm \(\rm kg\)

Attributes & Decorations

Tags	aktivität, kernphysik, masse, molare masse, nuklearphysik, physik, radioaktivität
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Difficulty	(2, default)
Points	5 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
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