SOLUTION: A radioactive isotope has a decay rate of 2% per year. Calculate the half life for this isotope, using the exact half-life formula

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Question 1033859: A radioactive isotope has a decay rate of 2% per year. Calculate the half life for this isotope, using the exact half-life formula
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The model to use is m+=+m%5B0%5D%2A0.98%5Etwhere m is the mass remaining after t years, and m%5B0%5D+ is the original mass of the substance.
To find the half-life, set m+=+m%5B0%5D%2F2.
==> m%5B0%5D%2F2+=+m%5B0%5D%2A0.98%5Et ==> 1%2F2+=+0.98%5Et
==> t+=+-ln2%2Fln0.98+=+34.3years.