Solving Exponential Decay: 10,000 Years & Uranium II

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SUMMARY

The discussion centers on calculating the remaining percentage of radioactive Uranium II after 10,000 years, given its half-life of 250,000 years. Participants emphasize the importance of understanding the relevant equations for radioactive decay rather than simply providing answers. The algebraic approach mentioned is recognized as approximately correct, but the exact formula for exponential decay is necessary for precise calculations.

PREREQUISITES
  • Understanding of radioactive decay concepts
  • Familiarity with half-life calculations
  • Knowledge of exponential decay equations
  • Basic algebra skills
NEXT STEPS
  • Study the exponential decay formula: N(t) = N0 * (1/2)^(t/T), where T is the half-life.
  • Learn how to apply logarithms in decay calculations.
  • Explore examples of radioactive decay in real-world applications.
  • Investigate the implications of half-life in nuclear physics and radiometric dating.
USEFUL FOR

Students studying nuclear chemistry, educators teaching radioactive decay concepts, and anyone interested in the mathematical modeling of decay processes.

amanaka2004
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Homework Statement



The half life of radioactive Uranium II is about 250,000 years. What percent of radioactive uranium will remain after 10,000 years?


Homework Equations





The Attempt at a Solution

 
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for every 250000, there is 50% left from original mass
10000/250000=.04 of what?
[snipped]
There is an equation, but over here its night time and my brain is turned off, so i did it algebraicly
 
Last edited:
silvashadow, did you read the rules? Do not post complete solutions to homework problems. Our job is to help students learn. Simply giving the answers is not helping them.

Even more importantly, do not post incorrect solutions. The algebraic approach is approximately correct.

amanaka, do you know what the relevant equations are for radioactive decay?
 
D H said:
silvashadow, did you read the rules? Do not post complete solutions to homework problems. Our job is to help students learn. Simply giving the answers is not helping them.

Even more importantly, do not post incorrect solutions. The algebraic approach is approximately correct.

amanaka, do you know what the relevant equations are for radioactive decay?

I'm so sorry. Please forgive my incompetence.
 

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