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A particular isotope has a half-life of 87 days. If you start with 1 kilogram of this isotope, how much will remain after 170 days? How much will remain after 340 days?

A. After 170 days: 0.25 kg, After 340 days: 0.0625 kg
B. After 170 days: 0.5 kg, After 340 days: 0.25 kg
C. After 170 days: 0.75 kg, After 340 days: 0.5 kg
D. After 170 days: 0.125 kg, After 340 days: 0.0625 kg

Answer :

Final answer:

The correct option is (a) After 170 days: 0.25 kg, After 340 days: 0.0625 kg, based on the calculation of remaining isotope after each half-life of 87 days. In the case of the isotope with a half-life of 87 days, you can calculate the remaining amount of the isotope after certain days using this principle.

Explanation:

The half-life of a particular isotope is the time it takes for half of the isotope to decay. In the case of the isotope with a half-life of 87 days, you can calculate the remaining amount of the isotope after certain days using this principle.

After one half-life (87 days), half of the original 1 kilogram (0.5kg) remains. After two half-lives (170 days), half of the remaining 0.5kg decays, leaving 0.25kg remaining. Finally, after four half-lives (340 days), 0.0625kg of the original isotope remains.The correct option is (a) After 170 days: 0.25 kg, After 340 days: 0.0625 kg, based on the calculation of remaining isotope after each half-life of 87 days

So, the correct option is (a) After 170 days: 0.25 kg, After 340 days: 0.0625 kg.

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