# 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.

###### FREE Expert Solution

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:

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.