An ancient tree is found which has a carbon-14 disintegration rate of 11.3 units.If the disintegration rate of a living tree is 14.0 units,calculate the age of the ancient tree.t_1/2 = 5.73 × 10³ years for carbon-14 and 0.807 of the sample remaining corresponds to 0.309 half-life.

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Quizplus · Accepted Answer

The age of the ancient tree can be calculated using the formula for radioactive decay, which involves the half-life of carbon-14 (5.73 × 10^3 years). Given that 0.807 of the sample remains, corresponding to 0.309 half-lives, we can calculate the age by multiplying the half-life by the number of half-lives (0.309 × 5.73 × 10^3 years), which gives approximately 1.77 × 10^3 years.

An Ancient Tree Is Found Which Has a Carbon-14 Disintegration