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Radioactive decay is measured in terms of "half-life", which is the number of years required for half of the atoms in a radioactive material to decay. The half-life of the carbon isotope 14C is 5,715 years. How long will it take for the 10 grams of this isotope to decay to 1 gram?

Radioactive decay is measured in terms of "half-life", which is the number of years required for half of the atoms in a radioactive material to decay. The half-life of the carbon isotope 14C is 5,715 years. How long will it take for the 10 grams of this isotope to decay to 1 gram?

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter19: The Nucleus: A Chemist's View
Section: Chapter Questions
Problem 36E
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(5) Radioactive decay is measured in terms of "half-life", which is the number of years required for half of the atoms in a radioactive material to decay. The half-life of the carbon isotope 14C is 5,715 years. How long will it take for the 10 grams of this isotope to decay to 1 gram? (6) At the start, an experiment records 1 gram of bacterial culture, and the culture's weight is believed to have a carrying capacity of 12 grams. (6.1) Find a model for the weight of the bacterial culture as a function of time t. (6.2) If, after 4 hours, the culture weighs 8 grams, find the weight after 10 hours.
Transcribed Image Text:(5) Radioactive decay is measured in terms of "half-life", which is the number of years required for half of the atoms in a radioactive material to decay. The half-life of the carbon isotope 14C is 5,715 years. How long will it take for the 10 grams of this isotope to decay to 1 gram? (6) At the start, an experiment records 1 gram of bacterial culture, and the culture's weight is believed to have a carrying capacity of 12 grams. (6.1) Find a model for the weight of the bacterial culture as a function of time t. (6.2) If, after 4 hours, the culture weighs 8 grams, find the weight after 10 hours.
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