The nuclide ratio, `._(1)^(3) H` to `._(1)^(1) H` in a sample of water is `8.0xx10^(-18) : 1` Tritium undergoes decay with a half-life period of `12.3yr` How much tritium atoms would `10.0g` of such a sample contains `40` year after the original sample is collected?

Explanation

To solve the problem, we'll go through the following steps:

### Step 1: Calculate the mass of hydrogen in 10 grams of water.
In one molecule of water (H₂O), there are 2 hydrogen atoms. The molar mass of water is approximately 18 g/mol.

\[ \text{Mass of hydrogen in 10 g of water} = \left(\frac{2 \times 1 \text{ g/mol}}{18 \text{ g/mol}}\right) \times 10 \text{ g} = \frac{2}{18} \times 10 = 1.11 \text{ g} \]
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