mauri6381 mauri6381
  • 08-05-2019
  • Mathematics
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Bismuth-212 has a half-life of 60.5 minutes. Find the amount of bismuth-212 left from a 100-gram sample after 242 minutes

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LammettHash
LammettHash LammettHash
  • 08-05-2019

Notice that 242 = 4*60.5. This means after 242 minutes, the sample decays to [tex]\dfrac1{2^4}=\dfrac1{16}[/tex] of its original amount. So you end up with

[tex]\dfrac{100\,\mathrm g}{16}=\boxed{6.25\,\mathrm g}[/tex]

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