Radioactive Isotopes: Different Activity Rates Explained

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SUMMARY

Two samples containing different radioactive isotopes cannot maintain the same activity due to their distinct decay rates. While it is theoretically possible to prepare samples with identical activity at a specific moment by adjusting their quantities, this condition is temporary. As time progresses, the differing half-lives of the isotopes will cause their activities to diverge. The discussion emphasizes the importance of understanding the decay characteristics of isotopes when comparing their activities.

PREREQUISITES
  • Understanding of radioactive decay and half-life concepts
  • Familiarity with radioactive isotopes and their properties
  • Knowledge of activity measurement in radioactivity
  • Basic principles of sample preparation in nuclear physics
NEXT STEPS
  • Research the decay rates of specific radioactive isotopes
  • Learn about the methods for measuring radioactive activity
  • Explore the concept of half-life and its implications in nuclear chemistry
  • Investigate the effects of sample size on activity measurements
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Students and professionals in nuclear physics, radiochemistry, and anyone interested in the behavior of radioactive materials and their applications in various fields.

FlipStyle1308
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I just want to make sure I just formulted a valid statement:

Two samples contain different radioactive isotopes. It is not possible for these samples to have the same activity because each isotope radioactive isotopes change their composition at different rates.

Anyone able to agree with this statement or counter it, saying why it is possible for these samples to have the same activity?
 
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Are the samples pure, or are (for instance) the radioactive isotopes mixed with inert isotopes?
 
I think I'm just talking about pure samples lol. Basically I just needed to make a statement on whether or not it's possible for two samples containing different radioactive isotopes to have the same activity and explain a bit.
 
It is conceivable that there are pairs of isotopes with identical decay rates.

Regardless, for any two isotopes, it should nonetheless be possible to prepare two samples with identical activity (at a given moment) just by having different quantities.

These won't maintain identical activity, since the little sample is burning up quickly whilst the big slowly-decaying (longer half-life) sample will maintain its rate much longer.

Uh.. FlipStyle, aren't you concerned your instructor / peers will see this site?
 
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I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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