CHEM - Uranium isotope relative abundance at diff times

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SUMMARY

The discussion focuses on calculating the relative abundances of uranium isotopes (238U, 235U, and 234U) at the time of Earth's formation, approximately 4.6 billion years ago. The current abundances are 99.2745% for 238U, 0.7196% for 235U, and 0.0055% for 234U. Participants emphasize the importance of knowing the half-lives of these isotopes and applying the equation t = age = 1/lambda * ln(N/No) to determine past ratios. The conversation encourages clear communication to avoid redundancy in questions and answers.

PREREQUISITES
  • Understanding of radioactive decay and half-lives
  • Familiarity with the natural logarithm and its applications in decay equations
  • Basic knowledge of uranium isotopes and their significance in geology
  • Proficiency in algebra for manipulating decay equations
NEXT STEPS
  • Research the half-lives of uranium isotopes, specifically 238U, 235U, and 234U
  • Study the application of the decay equation N = No*e^lambda*t in geological contexts
  • Explore the implications of uranium isotope ratios in radiometric dating
  • Investigate the role of uranium isotopes in Earth's formation and early geological history
USEFUL FOR

Geologists, nuclear physicists, students studying radiometric dating, and anyone interested in the historical abundance of uranium isotopes in Earth's crust.

thiev
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1. Homework Statement

The relative abundance of uranium isotopes in today’s Earth crustal material is:
99.2745% 238U
0.7196% 235U
0.0055% 234U
What were the relative abundances when the Earth was formed 4.6x109 years ago?


2. Homework Equations

t = age = 1/lambda * ln(N/No)

N = No*e^lambda*t

3. The Attempt at a Solution

i don't know how to approch this...
 
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Hey,

I agree with LowlyPion in the other post that you need to know the half-lives and then I think it will be a matter of ratios.

Just post a question the once for the future. This is so people helping you are seeing what everyone is saying and not repeating work that has already been done. We only want to help. :biggrin:

The Bob
 

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