Explain how you might use radioactive Fe-59 (a beta emitter with t 1/2= 44.5 days) to determine the extent to which rabbits are able to convert a particular iron compound in their diet into blood hemoglobin, which contains iron atoms.

The natural radioisotope, radium-226 (226Rn), undergoes a radioactive decay where it emits an alpha particle to become radon-222 (222Rn) which has a half-life of 3.82 days. Will a sample of 222Rn be at less than one fifth (1/5) of its original strength after a period of 5 days? Explain.

If a tree dies and the trunk remains undisturbed for 1.635 × 10⁴ years, what percentage of the original ¹⁴C is still present? (The half-life of ¹⁴C is 5730 years.)

The half-life of carbon-14, an isotope used in archaeological dating, is 5730 years. What percentage of 14 6C remains in a sample estimated to be 17,000 years old?

Archeologists continue to debate the arrival of the first humans in the Western Hemisphere. Radiocarbon dating of charcoal from a cave in Chile was used to establish the earliest date of human habitation in South America as 8700 years ago. This procedure involves comparing the 14C present in a sample of charcoal to the 14C present in a living tree of the same age. What fraction of the 14C initially present remained in the charcoal after 8700 years? The half-life of 14C is 5730 years. (Write the answer as a number with a decimal.)

A rock contains the radioactive isotope K − 40 that decays with a half-life of 1.3 billion years and the radioactive isotope Rb− 87 that decays with a half-life of 48.6 billion years. The rock is100 million years old. The rock currently has 1000 times as many Rb− 87 atoms as there are K − 40 atoms. (That is, N Rb= 1000 × N K) When the rock first formed it had M times as many Rb − 87 atoms as L − 40 atoms. (That is, N Rb, 0 = M × N K,0.) What is the value of M?

The half life for the decay of carbon-14 is 5.73 × 10³ years. Suppose the activity due to the radioactive decay of the carbon-14 in a tiny sample of an artifact made of wood from an archeological dig is measured to be 17. Bq. The activity in a similar-sized sample of fresh wood is measured to be 18. Bq. Calculate the age of the artifact. Round your answer to 2 significant digits. years x10 X

Three radioisotopes X, Y, and Z have half-lives of 1, 2 and 5 years respectively. Each of the three radioisotopes has the same activity now in July 2020. Which radioisotope will be hotter (meaning it will have more activity remaining) if you were to examine them at different times in the future, specifically in July 2023 for X, July 2024 for Y, and July 2040 for Z? Provide a full explanation of your reasoning. O Y because 2 half-lives will have passed by July 2024. OX because July 2023 is sooner than July 2024 or July 2040. OX because 3 half-lives will have passed by July 2023. O Z because July 2023 is sooner than July 2024 or July 2040. Z because July 2040 is later than July 2023 and July 2024. O Y because July 2023 is sooner than July 2024 or July 2040. O Z because 4 half-lives will have passed by July 2040.