Asked by Nezz
What fraction of the original activity of a radioactive substance will remain at the end of half-life?
Answers
Answered by
Elena
Half-life T is the time during which the number of decaying species decreases by half
Decay Law
N=Nₒ•exp(-λ•t)
Decay constant
λ=ln2/T.
Half-life T is the time during which the number of decaying species decreases by half
If t=T, then
N= Nₒ•exp(-λ•T)= Nₒ•exp(-ln2•T /t)= Nₒ•exp(-ln2)=0.5•Nₒ.
Activity of a given amount of radioactive material is calculated as the decay constant (related to the half-life T) multiplied by the number of radioactive nuclei
A=λ•N, Aₒ=λ•Nₒ.
A=Aₒ exp(-λ•T) =>
λ•N= λ•Nₒ • exp(-λ•T).
A=Aₒ/2.
Decay Law
N=Nₒ•exp(-λ•t)
Decay constant
λ=ln2/T.
Half-life T is the time during which the number of decaying species decreases by half
If t=T, then
N= Nₒ•exp(-λ•T)= Nₒ•exp(-ln2•T /t)= Nₒ•exp(-ln2)=0.5•Nₒ.
Activity of a given amount of radioactive material is calculated as the decay constant (related to the half-life T) multiplied by the number of radioactive nuclei
A=λ•N, Aₒ=λ•Nₒ.
A=Aₒ exp(-λ•T) =>
λ•N= λ•Nₒ • exp(-λ•T).
A=Aₒ/2.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.