We will be left with 16g after 6years
The half-life of radioactive isotopes refers to the amount of time it will take for half of the amount of the original isotope to decay.
it is calculated as
N(t)=N₀([tex]\frac{1}{2}[/tex])^(t/t₁/₂)
where,
N(t) = quantity of the substance remaining
N₀ = initial quantity of the substance
t= time elapsed
t₁/₂ = half life of the substance
Given that:
The initial quantity is 1024g,
The half-life is 1year,
6 years is the time elapsed.
We have that
N(t)=N₀([tex]\frac{1}{2}[/tex])^(t/t₁/₂)
N(t)=1024([tex]\frac{1}{2}[/tex])^(6/1)
N(t)=1024([tex]\frac{1}{2}[/tex])⁶
N(t)=1024 x 0.015625
N(t)=16g
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