Question

Calculate the age of a vegetarian beverage whose tritium content is only 15 % of the level in living plants.
Given $t_{1/2}$ for ${}_1{H}^3=12.3$ years.

• A. 33.67 years
• B. 3.367 years
• C. 336.7 years
• D. None of these

Answer 1

The correct option is A 33.67 years

We are required to find the age of a vegetarian beverage whose tritium content is only $15\%$ of the level in living plants.

$\lambda =\frac{0.693}{t_{1/2}}=\frac{0.693}{12.3}/yr$

$t=\frac{2.303}{\lambda }log\frac{a}{a-x}$

$t=\frac{2.303}{0.693}\times 12.3\times log\frac{100}{15}$

$t=33.67$ years