Answer :
The term 'half-life' refers to the time taken for half the atoms in a Radioactive Decay . For Cerium-143, which has a half-life of 33 hours, approximately 93.75g of an initial 100g sample would decay to Praseodymium-143 over around 165 hours or five half-lives.
In terms of Cerium-143, a radioactive isotope of cerium, which decays to produce Praseodymium-143, the idea is that this decay process is incremental over time.
This decay process is termed 'half-life', which is approximately 33 hours for Cerium-143. In the context of your 100g sample, a 'half' or 50g of Cerium would decay after 33 hours.
This process repeats itself and on the next 33 hours, half of the remaining 50g (i.e., 25g) would decay again.
Continues like this, eventually only 6.25g Cerium-143 will be remaining after approximately five half-lives (165 hours).
Therefore, we can conclude that some 93.75g of the original 100g sample would have decayed to Praseodymium-143 over roughly 165 hours.
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