Exercise
https://texercises.com/exercise/radius-von-platin-kugel/
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The following quantities appear in the problem: Masse \(m\) / Volumen \(V\) / molare Masse \(M\) / Stoffmenge \(n\) / Radius \(r\) / Dichte \(\varrho\) /
The following formulas must be used to solve the exercise: \(\varrho = \dfrac{m}{V} \quad \) \(V = \dfrac{4}{3}\pi r^3 \quad \) \(m = nM \quad \)
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Exercise:
Welchen Radius hätte eine Kugel aus aNO Platin-Atomen? Platin hat MO molare Masse und rO Dichte.

Solution:
Geg textPlatin rightarrow M MO M textPlatin rightarrow rho rO r N aNO rightarrow n aN GesRadiusrsim Die Anzahl Platin-Atome entsprechen m n M aN M m Masse was V fracmrho fracn Mrho fracmr V Volumen entspricht. Somit hat die Kugel r sqrtfracVpi sqrtfracfracn Mrhopi sqrtfrac Vpi ra Radius. r sqrtfracnMpirho leftfracnMpirhoright^frac ra raP-
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Exercise:
Welchen Radius hätte eine Kugel aus aNO Platin-Atomen? Platin hat MO molare Masse und rO Dichte.

Solution:
Geg textPlatin rightarrow M MO M textPlatin rightarrow rho rO r N aNO rightarrow n aN GesRadiusrsim Die Anzahl Platin-Atome entsprechen m n M aN M m Masse was V fracmrho fracn Mrho fracmr V Volumen entspricht. Somit hat die Kugel r sqrtfracVpi sqrtfracfracn Mrhopi sqrtfrac Vpi ra Radius. r sqrtfracnMpirho leftfracnMpirhoright^frac ra raP-
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Attributes & Decorations
Tags
atomismus, dichte, fläche, geometrie, gold, masse, mol, molare masse, physik, volumen
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Difficulty
(3, default)
Points
3 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
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