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Predict the age of a bottle of wine if the measured tritium $\left({ }^3 \mathrm{H}\right)$ content for the old bottle is $25 \%$ of that of the new wine? The half life of ${ }^3 \mathrm{H}$ is 12.5 years.
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25 years
To get reduced to $25 \%$ of its original amount, tritium would undergo two half-lives.
${ }^3 H \xrightarrow[\text { Half-life }]{\text { First }} 50$ percent ${ }^3 H$
50 percent ${ }^3 H \xrightarrow[\text { Half-life }]{\text { Second }} 25$ percent ${ }^3 H$
Hence, first half-life + second half-life $=12.5+12.5=25$ years
${ }^3 H \xrightarrow[\text { Half-life }]{\text { First }} 50$ percent ${ }^3 H$
50 percent ${ }^3 H \xrightarrow[\text { Half-life }]{\text { Second }} 25$ percent ${ }^3 H$
Hence, first half-life + second half-life $=12.5+12.5=25$ years
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