Exercise
https://texercises.raemilab.ch/exercise/plutonium-core-of-second-nuclear-bomb/
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The following quantities appear in the problem: Masse mm / Volumen VV / molare Masse MM / Stoffmenge nn / Radius rr / Dichte ϱ\varrho /
The following formulas must be used to solve the exercise: ϱ=mV\varrho = \dfrac{m}{V} \quad V=43πr3V = \dfrac{4}{3}\pi r^3 \quad m=nMm = nM \quad
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Exercise:
The plutonium rO MO core of the second nuclear bomb to be detonated in a war nicknamed Fat Man had a radius of RO. How many single plutonium atoms did it consist of? One avoirdupois ounce is .g one inch is .cm.

Solution:
Geg rho rO r M MO M r RO R GesNumber/amountN The sphere had V frac pi r^ frac pi qtyR^ V volume and therefore m rho V rho frac pi r^ frac pi rho r^ r V m mass. So the sphere consisted of n fracmM frac fracpirho r^M fracmM n N n sscNA frac fracpirho r^M sscNA n ncNA N plutonium atoms. n fracpirho r^M n N fracpirho r^ sscNAM N
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Exercise:
The plutonium rO MO core of the second nuclear bomb to be detonated in a war nicknamed Fat Man had a radius of RO. How many single plutonium atoms did it consist of? One avoirdupois ounce is .g one inch is .cm.

Solution:
Geg rho rO r M MO M r RO R GesNumber/amountN The sphere had V frac pi r^ frac pi qtyR^ V volume and therefore m rho V rho frac pi r^ frac pi rho r^ r V m mass. So the sphere consisted of n fracmM frac fracpirho r^M fracmM n N n sscNA frac fracpirho r^M sscNA n ncNA N plutonium atoms. n fracpirho r^M n N fracpirho r^ sscNAM N
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Attributes & Decorations
Branches
atomism
Tags
atombombe, atomismus, fat man, kernbombe, masse, mechanik, molare masse, physik, plutonium, volume, zylinder
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Difficulty
(3, default)
Points
3 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
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Link