AzaylaZ165360 AzaylaZ165360
  • 04-11-2022
  • Mathematics
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how much of a 2 gram sample of silver-105 would remain after 6 days? round to three decimal places.

how much of a 2 gram sample of silver105 would remain after 6 days round to three decimal places class=

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EliottQ588213 EliottQ588213
  • 04-11-2022

As we already know from the previous point, we have an exponential model for the mass of this element (with half life of 41.3 days and an intitial mass of 2 grams) in function of the time:

[tex]M(t)=2\cdot0.5^{\frac{t}{41.3}}[/tex]

We can calculate the mass after t = 6 days as:

[tex]\begin{gathered} M(6)=2\cdot0.5^{\frac{6}{41.3}} \\ M(6)\approx2\cdot0.904 \\ M(6)\approx1.808 \end{gathered}[/tex]

Answer: the mass will be 1.808 grams after 6 days.

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