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A 64-μ°ä¾±sample of Tl-201decays to 4.0μCiin 12days. What is the half-life, in days, of Tl-201?(5.3,5.4)

Short Answer

Expert verified

As a result, a half-life of Tl-201=3.0days.

The TI-201has a 3.0days half-life.

Step by step solution

01

    Introduction

Half-life:

A half life is the time it takes for half of a radioactive sample to decay. .In 12days, the TI-201sample drops from 64.0μ°ä¾±to 4.0μ°ä¾±.

Calculate the number of half-lives required to reduce the sample size from 64.0μCito 4.0μ°ä¾±.

02

    Explanation

64.0μ°ä¾±TI-201→1half-life32.0μ°ä¾±TI-201→2half-lives16.0μ°ä¾±TI-201→3half-lives8.0μ°ä¾±TI-201→4half-lives4.0μ°ä¾±TI-201

To reduce the Tl-201sample from 64.0μCito 4.0μCi, four half-lives are required.

03

   Conclusion

Calculate the half-life of TI-201as follows:

4half-livesfor(TI-201)=12days

1half-lifeofTI-201=3.0days

As a result, a half-life of Tl-201=3.0days.

The TI-201has a 3.0day half-life.

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