In the radioactive decay series of uranium 238U, an isotope of lead β-decays with a half-life of 26.8 92
minutes into bismuth, which in turn β-decays with a half-life 19.9 minutes into polonium:
Its is my first time see this kind of chemistry math question, could someone solve this for me? I ask all my friends no one can do this
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Explanation & Answer
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(a) Discuss how you expect the mass of lead present to change over time. Do the same
for bismuth. In particular, do you expect the masses of lead and bismuth to ever be
The masses of lead and bismuth are expected to reduce with time. Since their half-lives
are different, it will not be possible for the masses to ever be equal. Only masses of
isotopes with same half-lives tend to be equal during their decay period.
(b) Set up a mathematical model for the mass of lead in the sample. Identify
independent and dependent variables, and specify units.
Generally decay is given by; 𝐴 = 𝐴0 . 2ℎ A i...