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Let Q represent a mass (in grams) of radioactive thorium (229 Th), whose half-life is 7,340 years. This means the quantity of thorium-229 is cut in half every 7,340 years. Mathematically, the quantity of thorium-229 present after t years is given by Q 800 ()740 |3D (a) How much thorium-229 will be present after 10,000 years? (b) How long will it take for the original quantity of thorium-229 to decay to 100 grams?

Let Q represent a mass (in grams) of radioactive thorium (229 Th), whose half-life is 7,340 years. This means the quantity of thorium-229 is cut in half every 7,340 years. Mathematically, the quantity of thorium-229 present after t years is given by Q 800 ()740 |3D (a) How much thorium-229 will be present after 10,000 years? (b) How long will it take for the original quantity of thorium-229 to decay to 100 grams?

Principles of Modern Chemistry
Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter19: Nuclear Chemistry
Section: Chapter Questions
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Let Q represent a mass (in grams) of radioactive thorium (229 Th), whose half-life is 7,340 years. This means the quantity of thorium-229 is cut in half every 7,340 years. Mathematically, the quantity of thorium-229 present after t years is given by Q 800 ()740 |3D (a) How much thorium-229 will be present after 10,000 years? (b) How long will it take for the original quantity of thorium-229 to decay to 100 grams?
Transcribed Image Text:Let Q represent a mass (in grams) of radioactive thorium (229 Th), whose half-life is 7,340 years. This means the quantity of thorium-229 is cut in half every 7,340 years. Mathematically, the quantity of thorium-229 present after t years is given by Q 800 ()740 |3D (a) How much thorium-229 will be present after 10,000 years? (b) How long will it take for the original quantity of thorium-229 to decay to 100 grams?
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