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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=

Sagot :

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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