Question

study smarter the plutonium isotope 239pu has a half-life of 24,000 years and decays by the emission of a 5.2 mev alpha particle. plutonium is not especially dangerous if handled because the activity is low and the alpha radiation doesn't penetrate the skin. however, there are serious health concerns if even the tiniest speck of plutonium is inhaled and lodges deep in the lungs. this could happen following any kind of fire or explosion that disperses plutonium as dust.

Answer 1

Therefore, the number of ²³⁹Pu atoms in 1.0 mm diameter particle is  2.6*10⁷

The half-life of the  is  ²³⁹Pu=2400 yrs

The radius of soot particles is r =1*10⁻⁶m/0=0.5*10⁻⁶m

The density of Plutonium is  ρ=19800kg/m³

The number of   ²³⁹Pu atoms in a  diameter particle is

N=(m/Ma)Na

=ρ4πr³Na/3Ma

Substitute the given values to get number of atoms in particle

N=19.8*4π*(0.5*10⁻⁶)³*6.02*10²³/3*239*10⁻³

=2.6*10⁷

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