A sample of a radioactive isotope has an initial activity of 3200 Bq. If its half-life is 10 days, calculate the activity of the sample after 30 days.

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Topic: Chemistry Posted 1 year ago

A sample of a radioactive isotope has an initial activity of 3200 Bq. If its half-life is 10 days, calculate the activity of the sample after 30 days.

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Koala Tutor

Oct 3, 2023

Koala Ai Support

The half-life is the time it takes for half of the radioactive material to decay. In this case, the half-life is 10 days.

After one half-life (10 days), the activity of the sample is reduced to half of its initial value, which is 3200 Bq / 2 = 1600 Bq.

After two half-lives (20 days), the activity is reduced to half of the previous value, which is 1600 Bq / 2 = 800 Bq.

After three half-lives (30 days), the activity is reduced to half of the previous value again, which is 800 Bq / 2 = 400 Bq.

Therefore, the activity of the sample after 30 days is 400 Bq.

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