Parent isotope — Science definition

The radioactive isotope that decays.

Where it is taught

Questions using parent isotope

Problem 1

A sample retains 12.5% parent isotope. How many half-lives have elapsed?
Answer and explanation

3 half-lives

100 → 50 → 25 → 12.5.

Problem 2

A closed sample retains 25% of its original parent isotope. Half-life is 8 million years. Find elapsed time. Explain the reasoning in your own words.
Answer and explanation

16 million years under the supplied closed-system assumptions.

100%→50%→25% is two half-lives.

2×8 million=16 million years.

Response criteria

  • Use the stated conditions.
  • Show the evidence or calculation.
  • Explain the conclusion and any stated limitation.

Problem 3

A sample retains 25% parent isotope with a 50-million-year half-life. Find its model age.
Answer and explanation

100 million years

Two half-lives × 50 = 100.

Problem 4

What percentage of parent isotope remains after four half-lives?
Answer and explanation

6.25 %

100 × (1/2)^4 = 6.25.

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