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A radioactive element has a half-life of ln(2) weeks. If e³ tons are present at a given time, how much will be left three weeks later? Show all solutions starting from the concept of radioactive decay: mass is lost by its conversion to energy which is radiated away - "mass m is observed that at any time t, the rate of change of mass of a radioactive element is proportional to the mass itself with proportionality constant k." (O'Neil, 2010)

A radioactive element has a half-life of ln(2) weeks. If e³ tons are present at a given time, how much will be left three weeks later? Show all solutions starting from the concept of radioactive decay: mass is lost by its conversion to energy which is radiated away - "mass m is observed that at any time t, the rate of change of mass of a radioactive element is proportional to the mass itself with proportionality constant k." (O'Neil, 2010)

Chemistry: The Molecular Science
Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter18: Nuclear Chemistry
Section: Chapter Questions
Problem 18.CCP
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A radioactive element has a half-life of ln(2) weeks. If e³ tons are present at a given time, how much will be left three weeks later? Show all solutions starting from the concept of radioactive decay: mass is lost by its conversion to energy which is radiated away – “mass m is observed that at any time t, the rate of change of mass of a radioactive element is proportional to the mass itself with proportionality constant k." (O'Neil, 2010)
Transcribed Image Text:A radioactive element has a half-life of ln(2) weeks. If e³ tons are present at a given time, how much will be left three weeks later? Show all solutions starting from the concept of radioactive decay: mass is lost by its conversion to energy which is radiated away – “mass m is observed that at any time t, the rate of change of mass of a radioactive element is proportional to the mass itself with proportionality constant k." (O'Neil, 2010)
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