A 1 mg sample of americium becomes
after 3 half-lives.
Further Explanation:
The process in which an unstable nucleus releases energy in the form of different particles like alpha particles, beta particles, and gamma particles is termed as radioactivity.
Half-life
As is evident from its name, it is the time after which the amount of radioactive substances becomes half of its original amount. It is represented by .
The expression to calculate the amount of substance is as follows:
…… (1)
Here,
is the final amount of substance.
is the initial amount of substance.
n is the number of half-lives.
Rearrange equation (1) for
.
…… (2)
The value of
is 1 mg.
The value of n is 3.
Substitute 1 mg for
and 3 for n in equation (2) to calculate the amount of americium.
Therefore 0.125 mg of americium remains after 3 half-lives.
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Answer details:
Grade: Senior School
Chapter: Nuclear chemistry
Subject: Chemistry
Keywords: half-life, 1 mg, 0.125 mg, americium, n, 3 half-lives, radioactivity, unstable nucleus, t1/2, substance, initial amount, final amount, number of half-lives, alpha particles, beta particles, gamma particles, energy, half, amount of substance, original amount.