Problem: Define “third-life” in a similar way to “half-life,” and determine the “third-life” for a nuclide that has a half-life of 31.4 years.

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For this problem, we are asked to define “third-life” determine the “third-life” for a nuclide that has a half-life of 31.4 years


If half-life is the time that it takes to reduce the quantity of a certain substance by half, third life is the time it takes to reduce the quantity by 1/3


Recall that radioactive/nuclear decay of isotopes follows first-order kinetics, and the integrated rate law for first-order reactions is:


lnNt=-kt +lnN0


where:

[N]t = concentration at time t

k = decay constant

t = time

[N]0 = initial concentration.


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Problem Details

Define “third-life” in a similar way to “half-life,” and determine the “third-life” for a nuclide that has a half-life of 31.4 years.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the First Order Half Life concept. You can view video lessons to learn First Order Half Life. Or if you need more First Order Half Life practice, you can also practice First Order Half Life practice problems.

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Based on our data, we think this problem is relevant for Professor Rubinstein's class at Kean University.

What textbook is this problem found in?

Our data indicates that this problem or a close variation was asked in Chemistry: An Atoms First Approach - Zumdahl Atoms 1st 2nd Edition. You can also practice Chemistry: An Atoms First Approach - Zumdahl Atoms 1st 2nd Edition practice problems.