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Cesium-137 has a decay constant of 0.0231 (a 30-year half-life). If you start with 15 pounds of cesium-137, how much will still be there 30 years later? Round to the nearest tenth.

Respuesta :

Answer:

N = 7.5 pounds

Step-by-step explanation:

Formula for the radioactive decay is given by,

[tex]N=N_0e^{-\lambda t}[/tex]

Here, N = Final amount

N₀ = Initial amount

λ = Decay constant

t = Duration of decay

Now we can substitute the values from the given question,

N = [tex]15e^{-(0.0231\times 30)}[/tex]

N = [tex]15e^{-0.693}[/tex]

N = 15(0.5)

N = 7.5 pounds

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