1:15 is the ratio of radioactive parent isotope to stable daughter isotope,
after four half-lives of decay.
Let:
- 'A' be the initial concentration of the radioactive parent isotope
- 'n' be the number of corresponding half-lives
- 'A/2ⁿ ' be the final concentration of the radioactive parent isotope
Using the Exponential Decay Relation:
A → A/2ⁿ ( after 'n' half-lives )
A⁴ → A/2⁴
A⁴ → A/16
∵The final concentration of the radioactive parent isotope is A/16.
∴The initial concentration of the stable daughter isotope will be 15A/16.
1:15 is the ratio of radioactive parent isotope to stable daughter isotope,
after four half-lives of decay.
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