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8 A radioactive isotope has a half-life of 24 hours. A sample of this isotope contains
1280 radioactive nuclei. Calculate the number of radioactive nuclei remaining after a
week.

Answer :

Answer:

10

Explanation:

An isotope's half-life is the amount of time it takes for half of the isotope's mass to decay.

The isotope has a half-life of 24 hours, or 1 day. 1 week is equal to 7 days, so the isotope will undergo 7 half-lives. The number of nuclei remaining after being halved 7 times is:

n = 1280 (½)⁷

n = 10

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