The age of wine can be determined by measuring the trace amount of radioactive tritium. Tritium is formed by cosmic bombardment in the upper atmosphere, so naturally occurring water contains a small amount of the isotope. Once the water is in the bottle, the tritium diminishes by a first order radioactive decay with a half-life of 12.5 years. If a bottle of wine was found to have a tritium concentration that is 0.1000 that of freshly bottled wine, what is the age of the wine?

Question

The age of wine can be determined by measuring the trace amount of radioactive tritium. Tritium is formed by cosmic bombardment in the upper atmosphere, so naturally occurring water contains a small amount of the isotope. Once the water is in the bottle, the tritium diminishes by a first order radioactive decay with a half-life of 12.5 years. If a bottle of wine was found to have a tritium concentration that is 0.1000 that of freshly bottled wine, what is the age of the wine?

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