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Carbon dating is a technique for discovering the age of ancient once-living objects, such as bone, charcoal or a piece of wood, by measuring the amount of the radio-active isotope Carbon-14 ( EQN:^{14}C ) that it contains. Whilst plants and animals are alive their Carbon-14 remains constant, but when they die it decreases due to radioactive decay. The amount, A, of Carbon-14 in an object t thousand years after it dies is given by the formula: EQN:A=15.3\times\(0.886)^t (The quantity A measures the rate of Carbon-14 atom disintegration and this is measured in “counts per minute per gram of carbon” cpm/g) (a) Using a calculator, draw a table of values to show how the amount of Carbon-14 in an object varies with time. (Correct to 2 decimal places). (b) Draw a graph of this data. (c) Imagine that you have a fresh sample of tree wood. What is the rate of Carbon-14 atom disintegration? (d) Imagine you have a sample of charcoal from Stonehenge and it is 4000 years old. What is the rate of Carbon-14 atom disintegration? (e) Charcoal from the famous Lascaux caves in France gave a count of 2.34 cpm/g. Estimate the date of formation of the charcoal. (f) Investigate "half-life" of a radioactive isotope. ---- One of the Enrichment tasks on this site