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Uranium Dating (235)

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Past ages are determined based on the proportion of U-235 in natural uranium.
The current abundance ratio of U-235 in natural uranium is the same throughout the solar system.
Because U-235 and U-238 have different half-lives, the proportion of U-235 increases as we go further back in time.
Proportional abundance at the time of dating
U235
%
Current abundance ratio
U235
%
Half-life100 million years
U238
%
Half-life100 million years
The enrichment level of U235 used in nuclear reactors is about 3%, the same as its natural abundance 2 billion years ago.
This led to the prediction and subsequent discovery of natural nuclear reactors.

\( (1)\ x=x_0(\frac{1}{2})^{\frac{\normalsize t}{T}},\hspace{40px}T:\ half\ time\\ (2)\ t=-\frac{\ln \left(\frac{x235}{100-x235} \cdot \frac{x238_0}{x235_0} \right)}{\ln2}\frac{1}{(\frac{1}{T235}-\frac{1}{T238})}\\ \)

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