A freshly prepared sample of a certain radioactive isotope has anactivity of 10.

Question

A freshly prepared sample of a certain radioactive isotope has anactivity of 10.0 mCi. After 4.50 h, the activity is 8.80 mCi. (a) Find the decay constant and half-life of the isotope. = h-1 T1/2 = h
(b) How many atoms of the isotope were contained in the freshlyprepared sample?
atoms

(c) What is the sample's activity 30 h after it is prepared?
mCi (a) Find the decay constant and half-life of the isotope. = h-1 T1/2 = h
(b) How many atoms of the isotope were contained in the freshlyprepared sample?
atoms

(c) What is the sample's activity 30 h after it is prepared?
mCi = h-1 T1/2 = h

Explanation / Answer

Initila activity Ao = 10 mCi

Activity after time t is A= 8.8 mCi

time t= 4.5 h

We know A = A o e – t

     e - t = A /Ao

             = 0.88

  - t = ln ( 0.88)

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