KamauriW695548 KamauriW695548
  • 03-11-2022
  • Physics
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11. If 100. g of gold-198 decays to 12.5 g in 25.3 days, what is the half-life of gold-198?

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NadayaX98626 NadayaX98626
  • 03-11-2022

Given data

*The amount of gold-198 is N = 100 g

*The gold-198 decays is n = 12.5 g

*The given time is T = 25.3 days

The expression for the radioactivity decay is given as

[tex]N=n(\frac{1}{2})^{\frac{T}{t}}[/tex]

Substitute the values in the above expression as

[tex]\begin{gathered} 100=12.5(\frac{1}{2})^{\frac{25.3}{t}} \\ t=8.43\text{ days} \end{gathered}[/tex]

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