Reyes Bolton
12/04/2023 · Middle School
c) \( \mathrm{T}=\quad \) marks A 200 g sample of radioactive polonium- 210 has a half-life of 138 days. This means that every 138 days, the amount of polonium left in a sample is half of the original amount. The mass of polonium, in grams, that remains after \( t \) days can be modelled by \( M(t)=200\left(\frac{1}{2}\right)^{\frac{s}{138}} \). a) Identify the mass that remains after 5 years. b) How long does it take for this 200 g sample to decay to 110 g ?
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a) The mass that remains after 5 years is approximately 0.0172 grams.
b) It takes approximately 119 days for the 200 g sample to decay to 110 g.
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