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 0.100 that of freshly bottled wine (i.e. [³H]=0.100 [³H]o), what is the age of the wine? years.
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 0.100 that of freshly bottled wine (i.e. [³H]=0.100 [³H]o), what is the age of the wine? years.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 13CC
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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 0.100 that of freshly bottled wine (i.e. [H] = 0.100 [³H]o), what is the age of the wine?
years](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F725d3d72-961a-4bc9-ae19-fbcdf2ac2aef%2Ff28dd3fd-fbc5-4b1a-89a8-b07e629ccd7f%2Fxt6o04_processed.png&w=3840&q=75)
Transcribed Image Text:Question 2 of 42
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 0.100 that of freshly bottled wine (i.e. [H] = 0.100 [³H]o), what is the age of the wine?
years
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