Rb-87 Half Life Calculation: 478 Bq/g

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SUMMARY

The discussion focuses on calculating the half-life of the radioisotope Rb-87, given a specific activity of 478 Bq/g for rubidium chloride (RbCl). The molar mass of RbCl is 120.9256 grams, with Rb-87 comprising 27.85% of natural rubidium. To determine the half-life, participants emphasize the need to first calculate the number of Rb-87 atoms in the sample, followed by finding the decay constant using the relationship between activity and decay constant. The process outlined is confirmed as correct for solving the homework problem.

PREREQUISITES
  • Understanding of radioactive decay and half-life concepts
  • Knowledge of calculating specific activity in Bq/g
  • Familiarity with molar mass and isotope composition
  • Basic proficiency in using decay constants in calculations
NEXT STEPS
  • Learn how to calculate decay constants from specific activity
  • Study the relationship between activity and half-life in radioactive materials
  • Explore the concept of isotope composition and its impact on decay calculations
  • Review examples of half-life calculations for various isotopes
USEFUL FOR

Students in nuclear chemistry, physicists, and anyone involved in radioactive decay calculations or isotope studies will benefit from this discussion.

Umang
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Homework Statement


Specific Activity of a sample of rubidium chloride is 478 Bq per gram
knowing that activity is coming from Rb-87, calculate the half life of radioisotope

- Molar mass of the RbCl natural is 120.9256 gram
- Isotope composition of natural Rb is 72.15% and 27.85% respectively for Rb -85 and Rb-87.

Homework Equations


Calculate Half life of radioisotope from mixture.

The Attempt at a Solution


First find the number of Rb-87 atoms in solution.
Find the decay constant
so we can get half life.
is this process is correct?
 
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Umang said:
First find the number of Rb-87 atoms in solution.
Find the decay constant
so we can get half life.
is this process is correct?

how one will calculate the decay constant...pl.show some work done ...as its a homework exercise.
One becquerel is defined as the activity of a quantity of radioactive material in which one nucleus decays per second. The becquerel is therefore equivalent to an inverse second, s−1.
 

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