Half-Life Formula
It is the time requires to decay in half. Half-life is the time required for the amount of something to fall to half its initial value. The mathematical representation of Half life is given by,
(Half life time) = (Napierian logarithm of 2)/(disintegration constant)
The equation is:
t1/2 = ln(2)/λ
Where:
λ : disintegration constant of the system
t1/2: Half life time
Half-life Formula Questions:
1) What is the half life of a radioactive substance whose disintegration constant is 0.005 years(-1)?
Answer:
Substituting the data in the half-life formula
t1/2 = ln(2)/(0.005 years(1))
t1/2 = ln(2)*200 years
t1/2 = 138.62 years
2) What is the disintegration constant of a process whose half life time is 10 minutes?
Answer:
From the half-life formula we find the disintegration constant
λ = ln(2)/t1/2
λ = ln(2)/(600 s)
λ = 0.00115 s(-1)
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