Here are a couple examples of problems dealing with half-lives that I might see something similar to on a test:
Q: How much of a sample of Uranium with a mass of 150 grams is left after 7 half lives?
A: 150/(2^7)= 1.17 grams
Q: Radium-225 has a mass of 2.59 grams and decays for 135 days. What was the mass of the original sample?
A: 135 days x 1HL/1.5 days = 9 HL passed
(2.59g)(2^9)= 1326.08 grams
Q: The half-life of radium-255 is 15 days. What percentage of radium is left after 3 months?
A: 3 months x 30 days/1 month x 1 HL/15 days = 6 HL
1=50%
2=25%
3=12.5%
4=6.25%
5=3.125%
**6=1.5625%
Overall, this post will serve as a great resource to look back at when I have to solve half-life problems, because the three examples above accurately represent and explain all of the different types of half-life questions that I will probably see on tests or class work.
Thanks for the links and examples. They really show what exactly half life is and how to calculate it.
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