The half-life of strontium-90 is 28 years. how long will it take a 50-mg sample to decay to a mass of 22 mg it took 13 years.
What is half-life?
The period of time it takes for one-half of a radioactive isotope to decay is known as the half-life. An individual radioactive isotope's half-life is unaffected by environmental factors and is independent of the isotope's starting concentration.
What is decay ?
Reduction in amount, activity, or force, for instance. Chemistry: Radioactive material's radioactive atom content spontaneously decreases. Spontaneous disintegration in physics (as of an atom or a particle)
Using the half life formula
A=A₀ 2(-t/h)
Where,
A = restultant amount
A₀= initial amount
t= decay time
h= half life of substance
=36=50(2)^(-t/28)
2^(-t/28)= 36/50
2^(-t/28= 0.72
taking log both sides
we have t=-28 ln(0.72)/ln2
t=13.27
t= 13 years.
Therefore, the half-life of strontium-90 is 28 years. how long will it take a 50-mg sample to decay to a mass of 22 mg it took 13 years.
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