Problem: The isotope  208Tl undergoes β decay with a half-life of 3.1 min.(c) What percentage of a sample of pure  208Tl remains un-decayed after 1.0 h?

🤓 Based on our data, we think this question is relevant for Professor Milliken's class at Holmes Community College.

FREE Expert Solution

Recall that radioactive/nuclear decay of isotopes follows first-order kinetics, and the integrated rate law for first-order reactions is:

ln[N]t=-kt+ln[N]0


Step 1. Calculate for the decay constant (k): 

half-life = 3.1 min:


View Complete Written Solution
Problem Details

The isotope  208Tl undergoes β decay with a half-life of 3.1 min.

(c) What percentage of a sample of pure  208Tl remains un-decayed after 1.0 h?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the First Order Half Life concept. You can view video lessons to learn First Order Half Life. Or if you need more First Order Half Life practice, you can also practice First Order Half Life practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Milliken's class at Holmes Community College.

What textbook is this problem found in?

Our data indicates that this problem or a close variation was asked in Chemistry - OpenStax 2015th Edition. You can also practice Chemistry - OpenStax 2015th Edition practice problems.