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You might wonder how it is possible to determine the half-life of long-lived radioactive isotopes, such as 40K. With a half-life of more than 10 years, the radioactivity of a sample of potassium will not measurably change in your lifetime. In fact, you can calculate the half-life using the mathematics governing first-order reactions. AN At It can be shown that a 1.0-mg sample of K decays at the rate of 260 atoms per second. Set up a mathematical equation for the rate of decay, --kN, AN where N is the number of nuclei in the 1.0-mg sample and -- is 260 dps. Solve this equation for the rate constant for this process. At

You might wonder how it is possible to determine the half-life of long-lived radioactive isotopes, such as 40K. With a half-life of more than 10 years, the radioactivity of a sample of potassium will not measurably change in your lifetime. In fact, you can calculate the half-life using the mathematics governing first-order reactions. AN At It can be shown that a 1.0-mg sample of K decays at the rate of 260 atoms per second. Set up a mathematical equation for the rate of decay, --kN, AN where N is the number of nuclei in the 1.0-mg sample and -- is 260 dps. Solve this equation for the rate constant for this process. At

Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter25: Nuclear Chemistry
Section: Chapter Questions
Problem 78SCQ
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Find the half life as well with steps please!!
You might wonder how it is possible to determine the half-life of long-lived radioactive isotopes, such as 40K. With a half-life of more than 10 years, the radioactivity of a sample of potassium will not measurably change in your lifetime. In fact, you can calculate the half-life using the mathematics governing first-order reactions. AN It can be shown that a 1.0-mg sample of 40K decays at the rate of 260 atoms per second. Set up a mathematical equation for the rate of decay, --kN, At AN where N is the number of nuclei in the 1.0-mg sample and is 260 dps. Solve this equation for the rate constant for this process. At k= Submit
Transcribed Image Text:You might wonder how it is possible to determine the half-life of long-lived radioactive isotopes, such as 40K. With a half-life of more than 10 years, the radioactivity of a sample of potassium will not measurably change in your lifetime. In fact, you can calculate the half-life using the mathematics governing first-order reactions. AN It can be shown that a 1.0-mg sample of 40K decays at the rate of 260 atoms per second. Set up a mathematical equation for the rate of decay, --kN, At AN where N is the number of nuclei in the 1.0-mg sample and is 260 dps. Solve this equation for the rate constant for this process. At k= Submit
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