Knowee
Questions
Features
Study Tools

After 5 half-lives, what percentage of the original number of parent atoms is left?  _______ (a number)

Question

After 5 half-lives, what percentage of the original number of parent atoms is left?

_______ (a number)

🧐 Not the exact question you are looking for?Go ask a question

Solution

A half-life is the time it takes for half of the atoms in a sample to decay. After one half-life, 50% of the original atoms remain.

Here's how you calculate the remaining percentage after 5 half-lives:

  1. After the first half-life, 50% of the original atoms remain.
  2. After the second half-life, 50% of the remaining 50% (or 25%) of the original atoms remain.
  3. After the third half-life, 50% of the remaining 25% (or 12.5%) of the original atoms remain.
  4. After the fourth half-life, 50% of the remaining 12.5% (or 6.25%) of the original atoms remain.
  5. After the fifth half-life, 50% of the remaining 6.25% (or 3.125%) of the original atoms remain.

So, after 5 half-lives, approximately 3.125% of the original number of parent atoms is left.

This problem has been solved

Similar Questions

How many half-lives must elapse until 78.0% of a radioactive sample of atoms has decayed? (Note that there is no unit for this answer.)

Which of the following part of atoms makes up more than 99.999999999% of an atom by volume?

The half-life of cesium-137 is 30 years. How many percent of the atoms of this isotope decay in 240 years?

A pure sample of radioactive nuclide X decays into a stable nuclide Y.What is number of atoms of Ynumber of atoms of X after two half-lives

The half-life of carbon 14 is 5,730 years. Approximately, how old is a bone that has 70% of its original carbon 14?

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.