There are two radioactive elements, elements A and B. Element A decays into element B with a decay constant of 2/yr, and element B decays into the nonradioactive isotope of element C with a decay constant of 1/yr. An initial mass of 2 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 tyr? (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. mg (t)= mc(t)=
There are two radioactive elements, elements A and B. Element A decays into element B with a decay constant of 2/yr, and element B decays into the nonradioactive isotope of element C with a decay constant of 1/yr. An initial mass of 2 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 tyr? (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. mg (t)= mc(t)=
Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter21: Nuclear Chemistry
Section: Chapter Questions
Problem 21.29QE
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Transcribed Image Text:There are two radioactive elements, elements A and B. Element A decays into element B with a decay constant of 2/yr, and element B decays into the nonradioactive isotope of element C with a decay constant of 1/yr. An initial mass of 2 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 tyr? (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)=
mB (t)=
mc(t)=
C
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