Spontaneous fission rate to half-life equivalence

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SUMMARY

The spontaneous fission rate for Uranium-238 (U-238) is quantified as approximately 1 fission per gram every 100 seconds, which translates to a half-life of about 5.5 x 1015 years for spontaneous fission. The calculation involves determining the number of U-238 atoms in one gram and understanding the decay process. This conversion of units effectively illustrates the relationship between decay rates and half-lives in nuclear physics.

PREREQUISITES
  • Understanding of atomic structure and isotopes, specifically Uranium-238.
  • Basic knowledge of radioactive decay and half-life concepts.
  • Familiarity with unit conversion and mathematical calculations involving large numbers.
  • Awareness of spontaneous fission as a nuclear reaction process.
NEXT STEPS
  • Calculate the number of U-238 atoms in one gram using Avogadro's number.
  • Explore the mathematical relationship between decay rates and half-lives in nuclear physics.
  • Investigate the implications of spontaneous fission in nuclear reactors and waste management.
  • Study the differences between spontaneous fission and other types of radioactive decay, such as alpha and beta decay.
USEFUL FOR

Students studying nuclear physics, physicists interested in radioactive decay processes, and professionals in nuclear engineering or radiological safety.

clynne21
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Homework Statement



The spontaneous fission rate for U-238 is roughly 1 fission per gram per 100 seconds. Show that this rate is the equivalent to a half-life for spontaneous fission of ~5.5x1015 years

Homework Equations


none that I can find in my book


The Attempt at a Solution


I'm thinking this is just basically a conversion of units problem, but want to check that with someone else. Not entirely sure where I would start so any help would be appreciated.
 
Physics news on Phys.org
1. How many U-238 atoms are there in 1 gram?
2. If one of them decays every 100 seconds, how long will you have to wait until half of them have decayed?
 
thank you- knew it had to be fairly simple- just overthinking it!
 

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