This chart show the amount of radioactivity measured from three unknown isotopes.

Which statement describes each of the isotopes?

Isotope A was measured at day 24, Isotope B was measured at day 6, and Isotope C was measured at day 10.
Isotope A was measured at day 18, Isotope B was measured at day 4, and Isotope C was measured at day 5.
Isotope A was measured at day 24, Isotope B was measured at day 8, and Isotope C was measured at day 20.
Isotope A was measured at day 30, Isotope B was measured at day 6, and Isotope C was measured at day 10.

1 answer

To interpret the statements regarding the isotopes based on their radioactivity measurements over time, we need to analyze the data provided. In radioactive decay, isotopes lose radioactivity over time at a rate defined by their half-lives.

  1. Isotope A measured at day intervals like 24, 18, and others likely indicates that it has a longer half-life, meaning it takes a longer time before it shows a significant decrease in radioactivity.

  2. Isotope B, with its measurements at shorter time intervals (6, 4, 8, etc.), is likely to have a shorter half-life compared to Isotope A, suggesting it decays more rapidly.

  3. Isotope C has measurement points that suggest it's also somewhere in between when compared to A and B. Depending on its measured days (like 10, 5, 20, etc.), it may have an intermediate half-life between A and B.

Thus, we can describe them as follows:

  • Isotope A: Likely to have the longest half-life.
  • Isotope B: Likely to have the shortest half-life.
  • Isotope C: Likely to have a half-life that is longer than B but shorter than A.

The varying measurement days confirm this behavior in terms of radioactivity decay.

If you need specific interpretations for the given measurement data (in days) for each isotope, a comprehensive analysis might involve drawing a curve representing decay or comparing specific activity values, which aren't available in your provided statements. Please clarify if you need more focused conclusions based on additional context!