he age of wine can be determined by measuring the trace amount of radioactive tritium, H, present in a sample. Tritium is formed rom hydrogen in water vapor in the upper atmosphere by cosmic bombardment, so all naturally ocurring water contains a small mount of this isotope. Once the water is in a bottle of wine, however, the formation of additional tritium from the water is negligible, o the tritium initially present gradually diminishes by a first-order radioactive decay with a half-life of 12.5 years. If a bottle of wine is pund to have a tritium concentration that is 0.128 that of freshly bottled wine (i.e. PH]; = 0.128[°H]o), what is the age of the wine? i years

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The age of wine can be determined by measuring the trace amount of radioactive tritium, 3H, present in a sample. Tritium is formed
from hydrogen in water vapor in the upper atmosphere by cosmic bombardment, so all naturally ocurring water contains a small
amount of this isotope. Once the water is in a bottle of wine, however, the formation of additional tritium from the water is negligible,
so the tritium initially present gradually diminishes by a first-order radioactive decay with a half-life of 12.5 years. If a bottle of wine is
found to have a tritium concentration that is 0.128 that of freshly bottled wine (i.e. [³H]; = 0.128[°H]o), what is the age of the wine?
i
years
Transcribed Image Text:The age of wine can be determined by measuring the trace amount of radioactive tritium, 3H, present in a sample. Tritium is formed from hydrogen in water vapor in the upper atmosphere by cosmic bombardment, so all naturally ocurring water contains a small amount of this isotope. Once the water is in a bottle of wine, however, the formation of additional tritium from the water is negligible, so the tritium initially present gradually diminishes by a first-order radioactive decay with a half-life of 12.5 years. If a bottle of wine is found to have a tritium concentration that is 0.128 that of freshly bottled wine (i.e. [³H]; = 0.128[°H]o), what is the age of the wine? i years
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