The isotope 57Co decays by electron capture to 57Fe with a half-life of 272 d. The 57Fe nucleus is produced in an excited state, and it almost instantaneously emits gamma rays that we can detect. (a) Find the mean lifetime and decay constant for 57Co. (b) If the activity of a 57Co radiation source is now 2.00 mCi, how many 57Co nuclei does the source contain? (c) What will be the activity after one year?

Q: λ =

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