Question 15.4: The isotope 239 94 Pu has a half-life of 24, 100 years. What...
The isotope ^{239}_{ 94} P u has a half-life of 24, 100 years. What percentage of an original plutonium sample will be left after one thousand years?
Using Eq. (15.13), the decay constant λ of ^{239}_{ 94} P u is found to be 2.876 × 10^{−5} years^{−1}. Eq. (15.12) can be written
N (t) = N_{0}e^{−λt} , (15.12)
t_{1/2} = \frac {ln {2}} {λ} . (15.13)
\frac{N} {N_{0}} = e^{−λt} .Substituting the value of λ we have obtained and t = 1000 years into this last equation, we find that N/N0 is equal to 0.972 or 97.2%.
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