Answer:
[tex]A=250g[/tex]
Explanation:
Hello there!
In this case, by considering the radioactive decay as a first-order kinetic model:
[tex]A=Ao*exp(-kt)[/tex]
We can firstly calculate the rate constant given the half life:
[tex]k=\frac{ln(2)}{t_{1/2}} =\frac{ln(2)}{520years}=1.33x10^{-3}years^{-1}[/tex]
Thus, we can plug in the elapsed time and the initial amount Ao to obtain:
[tex]A=1,000g*exp[-1.33x10^{-3}years^{-1} *(3061-2021)years]\\\\A=250g[/tex]
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