Chemistry, 20.09.2019 19:30 ayoismeisalex

How much of a 1.00 mg sample of americium remains after 3 half-lives?

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Answer from: Bryoh

0.125mg americium

Half-lives is a set of duration when a sample will become half of their original mass. In this case, the initial mass is 1mg and the sample is going for 3 times half-lives. Then the calculation would be: 1mg $1/2^{3}$ = 1/8 mg= 0.125mg.

Answer from: dmccarthey90

A 1 mg sample of americium becomes $\boxed{0.125{\text{ mg}}}$ 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:

${{\text{A}}_{\text{0}}} = {{\text{A}}_{\text{t}}}{\left( 2 \right)^{\text{n}}}$ …… (1)

Here,

${{\text{A}}_{\text{t}}}$ is the final amount of substance.

${{\text{A}}_{\text{0}}}$ is the initial amount of substance.

n is the number of half-lives.

Rearrange equation (1) for ${{\text{A}}_{\text{t}}}$ .

${{\text{A}}_{\text{t}}} = \left( {\dfrac{{\text{1}}}{{{{\left( 2 \right)}^{\text{n}}}}}} \right)\left( {{{\text{A}}_{\text{0}}}} \right)$ …… (2)

The value of ${{\text{A}}_{\text{0}}}$ is 1 mg.

The value of n is 3.

Substitute 1 mg for ${{\text{A}}_{\text{0}}}$ and 3 for n in equation (2) to calculate the amount of americium.

$\begin{aligned}{{\text{A}}_{\text{t}}}&= \left( {\frac{{\text{1}}}{{{{\left( 2\right)}^{\text{3}}}}}} \right)\left( {{\text{1 mg}}} \right)\\&=\left( {\frac{1}{8}} \right)\left( {1{\text{ mg}}} \right)\\&= 0.125{\text{ mg}}\\\end{aligned}$

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.

Answer from: Quest

a) the particles of the chair are strongly held together.

Answer from: Quest

answer: any goods being imported from another country may be subject to issued by the federal government are tariffs

explanation:

tariffs are a tax on anything that are imported from abroad. government use them to protect and boost their local industries and the thought is that they encourage consumers to buy local instead of importing and they will hope will protect jobs and economy in the country that implements them

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