Answer :

Given data

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

*The amount of gold decays is n = 6.25 g

*The given number of days is T = 10.8 days

The expression for the radioactivity decay is given as

[tex]N=n(0.5)^{\frac{T}{t}}[/tex]

*Here t is the half-life period

Substitute the values in the above expression as

[tex]\begin{gathered} 100=6.25(0.5)^{\frac{10.8}{t}} \\ t=2.7\text{ days} \end{gathered}[/tex]

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Rewritten by : Barada