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There are two radioactive elements, elements A and B. Element A decays into element B with a decay constant of 8/yr, and element B decays into the nonradioactive isotope of element C with a decay constant of 7/yr. An initial mass of 3 kg of element A is put into a nonradioactive container, with no other source of elements A, B, and C. How much of each of the three elements is in the container after t yr? (The decay constant is the constant of proportionality in the statement that the rate of loss of mass of the element at any time is proportional to the mass of the element at that time.) Write the equation for the mass, m(t), for each element based on time. mA(t) = mg (t) = mc(t) =

There are two radioactive elements, elements A and B. Element A decays into element B with a decay constant of 8/yr, and element B decays into the nonradioactive isotope of element C with a decay constant of 7/yr. An initial mass of 3 kg of element A is put into a nonradioactive container, with no other source of elements A, B, and C. How much of each of the three elements is in the container after t yr? (The decay constant is the constant of proportionality in the statement that the rate of loss of mass of the element at any time is proportional to the mass of the element at that time.) Write the equation for the mass, m(t), for each element based on time. mA(t) = mg (t) = mc(t) =

Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter43: Nuclear Physics
Section: Chapter Questions
Problem 18P
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There are two radioactive elements, elements A and B. Element A decays into element B with a decay constant of 8/yr, and element B decays into the nonradioactive isotope of element C with a decay constant of 7/yr. An initial mass of 3 kg of element A is put into a nonradioactive container, with no other source of elements A, B, and C. How much of each of the three elements is in the container after t yr? (The decay constant is the constant of proportionality in the statement that the rate of loss of mass of the element at any time is proportional to the mass of the element at that time.) Write the equation for the mass, m(t), for each element based on time. mA(t) = %3D mg (t) = mc(t) =]
Transcribed Image Text:There are two radioactive elements, elements A and B. Element A decays into element B with a decay constant of 8/yr, and element B decays into the nonradioactive isotope of element C with a decay constant of 7/yr. An initial mass of 3 kg of element A is put into a nonradioactive container, with no other source of elements A, B, and C. How much of each of the three elements is in the container after t yr? (The decay constant is the constant of proportionality in the statement that the rate of loss of mass of the element at any time is proportional to the mass of the element at that time.) Write the equation for the mass, m(t), for each element based on time. mA(t) = %3D mg (t) = mc(t) =]
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