Exercise
https://texercises.com/exercise/advertising-cylinder-at-a-winter-sports-event/
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The following quantities appear in the problem: Masse \(m\) / Temperatur \(T\) / Volumen \(V\) / Druck \(p\) / Höhe \(h\) / molare Masse \(M\) / Stoffmenge \(n\) / Radius \(r\) /
The following formulas must be used to solve the exercise: \(m = nM \quad \) \(pV = nRT \quad \) \(V = \pi r^2 \cdot h \quad \)
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Exercise:
An advertising cylinder of height hO at a wer sports event must be filled with mO of helium isotopeHe in order to stand fully upright. Inside a pressure of pO prevails asing an external temperature of thO. What is the radius of the cylinder?

Solution:
Geg h hO h m mO m p pO p T thO T GesRadiusrsim Die Stoffmenge beträgt: n fracmM fracmM nst N Na Das Volumen des Zylinders ist also: V fracnRTp fracfracmMRTp fracmRTpM fracnst ncR Tp V Der Radius des Zylinder beträgt: r sqrtfracVpi h sqrtfracfracmRTpMpi h sqrtfracmRTpi hpM sqrtfracVpi h r r sqrtfracmRTpi hpM r rP-
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Exercise:
An advertising cylinder of height hO at a wer sports event must be filled with mO of helium isotopeHe in order to stand fully upright. Inside a pressure of pO prevails asing an external temperature of thO. What is the radius of the cylinder?

Solution:
Geg h hO h m mO m p pO p T thO T GesRadiusrsim Die Stoffmenge beträgt: n fracmM fracmM nst N Na Das Volumen des Zylinders ist also: V fracnRTp fracfracmMRTp fracmRTpM fracnst ncR Tp V Der Radius des Zylinder beträgt: r sqrtfracVpi h sqrtfracfracmRTpMpi h sqrtfracmRTpi hpM sqrtfracVpi h r r sqrtfracmRTpi hpM r rP-
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Attributes & Decorations
Tags
atomismus, gas, gasgesetz, ideales gas, kinderballon, kugel, masse, mol, physik
Content image
Difficulty
(3, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration