628.2897 mg of the 2,000 mg sample remain after 3.50 years of radioactive decay.
the sample remains after 3.50 years of radioactive decay can be calculate as follows:
the formula of half- life is
[tex]A(t) = A_0(\frac{1}{2} )^\frac{T}{t_\frac{1}{2} }[/tex]
where, A₀ is the initial quantity, A(t) is the amount remaining after a time (t), and t ₍₁₂₎ is the half-life of the decaying quantity.
Sample amount = 1.000 mg initially
After radioactive decay
[tex]A(t) = A_0(\frac{1}{2} )^\frac{T}{t_\frac{1}{2} }[/tex]
[tex]A(t) = 1000(\frac{1}{2} )^\frac{3.5}{5.22 }[/tex]
A(t) = 628.2897 mg
So after 3.5 years we are left with 628.2897 mg milligrams of the 1,000 mg sample.
Learn more about radioactive decay here.
Brainly.com/question/1770619
#SPJ4
