The graph below shows the breakdown of radon-222.
What is the half-life of Rn-222?
What fraction of the original sample will be left after 3 half-lives?

The Graph Below Shows The Breakdown Of Radon-222.What Is The Half-life Of Rn-222?What Fraction Of The

Answers

Answer 1

Answer:

Answer: 7.949\ \text{days}7.949 days

Step-by-step explanation:

Given

The half-life of a sample is T_{\frac{1}{2}}=3.823\ \text{days}T

2

1 =3.823 days

Decay is given by

A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}A=A

o

2

T

2

1

−t

After 3 half-lives, one-eight of the sample is left

Insert the values

\begin{gathered}\Rightarrow \dfrac{A_o}{8}=A_oe^{\dfrac{-t}{T_{\frac{1}{2}}}}\\\\\Rightarrow e^{\dfrac{t}{T_{\frac{1}{2}}}}=8\\\\\text{Taking log both sides}\\\Rightarrow \dfrac{t}{T_{\frac{1}{2}}}=\ln 8\\\\\Rightarrow t=3.823\times \ln 8\\\\\Rightarrow t=7.944\ \text{days}\end{gathered}

8

A

o

=A

o

e

T

2

1

−t

⇒e

T

2

1

t

=8

Taking log both sides

T

2

1

t

=ln8

⇒t=3.823×ln8

⇒t=7.944 days


Related Questions

Why is genetic variation important for the long term survival of a population?

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Explanation:

According to Darwinism , the survival of the fittest , variation is important because it allows species to adapt to its environment , the stronger in traits is selected and the weakest is unable to adapt and die.

so , variation is the only way for a species to acquire new traits that can enable them to survive and adapt to their surroundings, Normally , Variation is very slow and it requires many generations for new traits to emerge , but it happens.

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Renewable resources are the resources which can never be exhausted. The difference between fresh water and coal is that, fresh water is a renewable resource, while coal is a nonrenewable resource.

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Natural resources are materials that people utilize from the Earth.

Generally, resources can be grouped under two categories, i.e. renewable and nonrenewable resources.

Renewable resources: The resources that can be grown again or in other words the resources that can never be exhausted are called renewable resources. Examples solar energy, fresh water, trees, etc.Non-renewable resources: These resources are present in a fixed amount in environment or one can say that these can never be replenished if exhausted once. Example coal, oil, fossil fuels, etc.

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Explanation:

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Answer:  

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Answers

Answer:

The answer is A. I seen it on Quiziz.

Explanation:

The diagram shows that the molecules of red dye moved by diffusion from a higher concentration to a lower concentration in a beaker of water.

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Answer:

B. Slight differences between parents and offspring can eventually result in future generations that are very different from their ancestors.

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Have A Great Apr 11

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Answer:

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