SOLUTION: The half-life of Zn-71 is 2.45 minutes. At t=0, there were y⁰ grams of Zn-71, but only 1/256 of this amount remains after some time. How much time(t) has passed?

Question 1172591: The half-life of Zn-71 is 2.45 minutes. At t=0, there were y⁰ grams of Zn-71, but only 1/256 of this amount remains after some time. How much time(t) has passed?
Answer by ikleyn(52879) (Show Source): You can put this solution on YOUR website!
.


 = .


So we conclude that 8 half-life periods passed from t= 0.


8 half-lives is 8*2.45 minutes = 19.6 minutes = 19 minutes and 36 seconds.    ANSWER

Solved.

--------------

To learn more on the subject, look into the lesson
- Radioactive decay problems
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Logarithms".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.

RELATED QUESTIONS
The half-life of Zn-71 is 2.45 minutes. Initially, there were y⁰ grams of Zn-71, but... (answered by ikleyn)

The half-life of Zn-71 is 2.45 minutes. Initially, there were y⁰ grams of Zn-71, but... (answered by ikleyn)

At the beginning of an experiment, a scientist has 256 grams of radioactive goo. After... (answered by josgarithmetic,rothauserc)

At the beginning of an experiment, a scientist has 224 grams of radioactive goo. After... (answered by stanbon)

The half-life of a certain radioactive material is 71 hours. An initial amount of the... (answered by ankor@dixie-net.com)

At the beginning of an experiment, a scientist has 140 grams of radioactive goo. After 60 (answered by ikleyn)

At the beginning of an experiment, a scientist has 244 grams of radioactive goo. After... (answered by stanbon)

I'm having a hard time with exponential functions. Here's the problem: The radioactive (answered by Boreal)

The half-life of a certain radioactive substance is 15 years. Suppose that at time t =... (answered by ankor@dixie-net.com)