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If the half-life of uranium-238 is about 4.51 x 10^9 years then what is its decay constant in units of atoms per year? Choose one answer. a. 9.72x10^-8 b. 2,55 c. 7.89 x 10^4 d. none of the other answers are correct e. 9.72x10^-10 I got ln2/4.51x10^9 but the answer is b) 9.72x10^-10
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The correct answer is D. http://hyperphysics.phy-astr.gsu.edu/hbase/nuclear/halfli2.html#c4
Your setup is correct. Since \[T{_1}{_/}{_2} = \ln2/\lambda\] then \[\lambda = \ln2/T{_1}{_/}{_2}\]. Plug and chug, and you should get an answer of 1.54x10^(-10).
0.693/ k=half life.
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