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n the fall of 2002, a group of scientists at Los Alamos National Observatory determined that the critical mass of neptunium - 237 is ab out 60.0 kg. (The critical mass of a fissionable material is the minimum amount that must be brought together to start a nuclear chain reaction.) Neptunium has a density of 19.5 g/cm 3 . What would be the radius of a sphere made of this material that has a critical mass

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Answer:

0.0902282795798 m

Explanation:

m = Mass of Neptunium = 60 kg

[tex]\rho[/tex] = Density of Neptunium = [tex]19.5\ g/cm^3[/tex]

r = Radius

Volume is given by

[tex]V=\dfrac{m}{\rho}\\\Rightarrow \dfrac{4}{3}\pi r^3=\dfrac{60}{19500}\\\Rightarrow r=(\dfrac{3\times 60}{4\times \pi\times 19500})^{\dfrac{1}{3}}\\\Rightarrow r=0.0902282795798\ m[/tex]

The radius of the sphere would be 0.0902282795798 m

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