Radioactive Isotopes and half life

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SUMMARY

The discussion centers on calculating the initial amount of a radioactive isotope given its final mass of 55.5 g and a half-life of 2.5 days. Using the formula mf = mi(1/2^(t/h)), where mf is the final mass, mi is the initial mass, t is the total time elapsed, and h is the half-life, the correct initial mass calculated is 554 g. Participants confirm that this calculation is accurate, validating the use of the half-life formula in radioactive decay problems.

PREREQUISITES
  • Understanding of radioactive decay and half-life concepts
  • Familiarity with the formula mf = mi(1/2^(t/h))
  • Basic algebra skills for manipulating equations
  • Knowledge of time measurement in days for half-life calculations
NEXT STEPS
  • Study the concept of radioactive decay in more depth
  • Learn about different radioactive isotopes and their half-lives
  • Explore applications of half-life calculations in real-world scenarios
  • Investigate advanced topics such as radioactive dating techniques
USEFUL FOR

Students studying chemistry, educators teaching nuclear physics, and anyone interested in understanding radioactive decay and its applications.

Zoey Brown
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Homework Statement


If a radioactive isotope ends with 55.5 g, and has a half-life of 2.5 days, how much was

there 8.3 days ago?

Homework Equations


mf=mi(1/2^t/h)

The Attempt at a Solution


the answer i got was 554 g, is it correct?
 
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Zoey Brown said:

Homework Statement


If a radioactive isotope ends with 55.5 g, and has a half-life of 2.5 days, how much was

there 8.3 days ago?

Homework Equations


mf=mi(1/2^t/h)

The Attempt at a Solution


the answer i got was 554 g, is it correct?
yes, its is correct
 

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