The half-life for the radioactive decay of Ce-141 is 32.5

Chapter 4, Problem 71CQ

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QUESTION:

The half-life for the radioactive decay of Ce-141 is 32.5 days. If a sample has an activity of 4.0 ?Ci after 130 days have elapsed, what was the initial activity, in microcuries, of the sample? (4.4)

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QUESTION:

The half-life for the radioactive decay of Ce-141 is 32.5 days. If a sample has an activity of 4.0 ?Ci after 130 days have elapsed, what was the initial activity, in microcuries, of the sample? (4.4)

ANSWER:

Solution 71CQHere, we have to calculate the microcurie of sample in initial activity.Step 1 of 2Given:A sample has an activity after 130 days - 4.0 CiHalf - life of Ce -141 = 32.5 days.Let’s write the equality and conversion factors for days1 half life = 32.5 daysSo, the conversion factors are and Let’s calculate the number of half-lives after completion of 130 days130 days = 4 half -lives.Therefore, the Ce-141 has 4 half -lives after completion of 130 days.________________________________________________________________________

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