Select the correct answer. the isotope calcium-41 decays into potassium-41, with a half-life of 1.03 × 105 years. there is a sample of calcium-41 containing 5 × 109 atoms. how many atoms of calcium-41 and potassium-41 will there be after 4.12 × 105 years? a. 3.125 × 108 atoms of calcium-41 and 4.375 × 109 atoms of potassium-41 b. 6.25 × 108 atoms of calcium-41 and 4.6875 × 109 atoms of potassium-41 c. 6.25 × 108 atoms of calcium-41 and 4.375 × 109 atoms of potassium-41 d. 3.125 × 108 atoms of calcium-41 and 4.6875 × 109 atoms of potassium-41

The isotope calcium-41 decays into potassium-41, with a half-life of 1.03 × 105 years. there is a sample of calcium-41 containing 5 × 109 atoms. how many atoms of calcium-41 and potassium-41 will there be after 4.12 × 105 years?

After 1.03×10^5 years (1 half-life)

calcium-41 will be 50%

potassium-41 will be 50%

- After 2.06×10^5 years (2 half-lives)

calcium-41 will be 25%

potassium-41 will be 75%

- After 3.09×10^5 years (3 half-lives)

calcium-41 will be 12.5%

potassium-41 will be 87.5%

- After 4.12×10^5 years (4 half-lives)

calcium-41 will be 6.25%

potassium-41 will be 93.75%

After 4.12×10^5 years,

Calcium-41 = 6.25/100 × 5×10^9 = 3.12×10^8 atoms

Potassium-41 = 93.75/100 × 5×10^9 = 4.69×10^9 atoms

How isotopes are formed?

Isotopes can be created artificially by bombarding a stable nucleus with charged particles using accelerators or neutrons in a nuclear reactor, or they can be created naturally through the radioactive decay of a nucleus (i.e., emission of energy in the form of alpha particles, beta particles, neutrons, and photons).

Why are isotopes useful?

Isotopes have special qualities that make them valuable in applications for diagnosis and treatment. They are crucial for national security, basic research, oil and gas exploration, and nuclear medicine.

Learn more about isotopes: https://brainly.com/question/11680817

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