Original activity from total counts, short decay

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SUMMARY

The discussion focuses on calculating the original activity of a radioactive substance using total counts (N) and measurement time (t). The key equation referenced is A = A_0e^(lambda*t), where A represents the activity at time t, A_0 is the original activity, and lambda is the decay constant. The challenge arises from the short half-life of the substance, which complicates direct calculations. Participants emphasize the need for additional information regarding decay rates to accurately determine the original activity.

PREREQUISITES
  • Understanding of radioactive decay and half-life concepts
  • Familiarity with the exponential decay formula A = A_0e^(lambda*t)
  • Knowledge of decay constants and their calculation
  • Basic skills in handling logarithmic functions for solving equations
NEXT STEPS
  • Research how to calculate decay constants from half-life data
  • Learn about the relationship between total counts and original activity in radioactive decay
  • Explore advanced techniques for measuring short-lived isotopes
  • Study the implications of measurement time on decay calculations
USEFUL FOR

Students in nuclear physics, researchers in radiochemistry, and professionals involved in radioactive material handling will benefit from this discussion.

dirks555
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Homework Statement



I am supposed to calculate the original activity of a radioactive from the following data:

Total counts N
Measurement time t

Since the half-life is short compared to the measure time i can't just divide the counts with the time passed. I really have no clue on how to do this!

Homework Equations



A=A_0e^lambda*t

The Attempt at a Solution

 
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Do you mean that at time t you know the total number of all decays up to t? What other information do you have?

RGV
 

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