jmayfield1513 jmayfield1513
  • 09-12-2018
  • Mathematics
contestada

an isotope has a half life of 102 years. How much of a 22gram sample is left after 250 years?

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DeanR
DeanR DeanR
  • 09-12-2018

A half life of 102 years means a decay formula something like

[tex]A = A_0 \times 2^{-t/102}[/tex]

When t=250,

[tex]\dfrac{A}{A_0} = 2^{-250/102} \approx 0.182886[/tex]

Answer: 18.3%



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kamizam38
kamizam38 kamizam38
  • 09-12-2018
The formula for finding the half life is

Final amount= initial amount * 0.5^(time/half life)

Final amount = 22*0.5^(250\102)
= 22^0.5^(2.4509..)
= 22*0.18288..
= 4.02350054
=4.02g

Hope this helps!
Answer Link

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