## Related questions with answers

Question

Scientists think that Earth once had naturally existing plutonium-$239$. Suppose Earth had $10$ trillion tons of $\mathrm{Pu}-239$ when it formed. Given plutonium's half-life of $24,000$ years and Earth's current age of $4.6$ billion years, how much would remain today? Use your answer to explain why plutonium is not found naturally on Earth today.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 2The amount of plutonium after a certain time can be calculated using the expression

$\begin{align*} \text{new value}&=\text{initial value}\cdot\left(\dfrac12\right)^{\frac{t}{T_\text{half}}}\\ &=10\cdot10^{12}\cdot\left(\dfrac12\right)^{\frac{4.6\cdot10^9}{24,000}}\\ &=3.8385\cdot10^{-57,685}\ \text{tons} \end{align*}$

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Using and Understanding Mathematics: A Quantitative Reasoning Approach

7th Edition•ISBN: 9780134705187 (3 more)Jeffrey O. Bennett, William L. Briggs3,437 solutions

#### Financial Algebra: Advanced Algebra with Financial Applications

2nd Edition•ISBN: 9781337271790Richard Sgroi, Robert Gerver3,016 solutions

## More related questions

1/4

1/7