College

We appreciate your visit to Indium 116 is radioactive and has a half life of 14 10 seconds How long would it take a sample to decay from 7 70. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Indium-116 is radioactive and has a half-life of 14.10 seconds. How long would it take a sample to decay from 7.70 mg to 900 µg?

Answer :

Final answer:

To find the time it would take for a sample of Indium-116 to decay from 7.70 mg to 900 µg, use the formula N = N0 * (1/2)^(t/t_half), where N is the final amount, N0 is the initial amount, t is the time, and t_half is the half-life. Rearrange the equation to solve for t.

Explanation:

To find how long it would take for a sample of Indium-116 to decay from 7.70 mg to 900 µg, you need to determine the number of half-lives required to reach this level of decay. Each half-life corresponds to a decay of half the original amount. First, convert the mass values to the same units, either milligrams or micrograms. Then, divide the initial mass by the final mass to calculate the fraction remaining. Next, use the formula N = N0 * (1/2)^(t/t_half), where N is the final amount, N0 is the initial amount, t is the time, and t_half is the half-life. Rearrange the equation to solve for t:

t = t_half * log(N/N0) / log(1/2)

Substitute the values into the equation and solve for t to find the time it would take for the sample to decay from 7.70 mg to 900 µg.

Learn more about the Decay of radioactive isotopes here:

https://brainly.com/question/33513843

#SPJ3

Thanks for taking the time to read Indium 116 is radioactive and has a half life of 14 10 seconds How long would it take a sample to decay from 7 70. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada