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 2/yr. An initial mass of 4 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) =

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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 2/yr. An initial mass of 4 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) =
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 2/yr. An initial mass of 4 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) =
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