Heavy atoms that are unstable will radioactively decay to form stable species. The isotope's half-life, which was reduced by 75 mg in 32 days, is 18 days.
A radioactive sample's half life is the length of time required for its amount to decay to half of its initial value.
The half-lives of heavy unstable materials are extremely short, and they easily undergo radioactive decay by emitted radiation.
Since radioactive decay is a first-order reaction, the radioactive constant can be calculated using the following equation:
λ = 1/t log [Ni/Nt]
Where t is the rate of decay, Ni is the initial amount, and Nt is the final amount, respectively.
After 32 days, 5 mg of the initial 80 mg are still available. In this manner, the radioactive constant is determined:
λ = 1/32days log80/5
λ = 0.0376days⁻¹
Currently, the decay's half-life is determined as follows:
t(1/2) = 0.693 /decay constant
t(1/2) = 0.693/0.0376
t(1/2) = 18 days.
Therefore, the isotope's half-life, which experienced a 75 mg decay in 32 days, is 18 days.
To find more about radioactive decay refer the link below:
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