Question #313503

Cobalt-60, with a half-life of 5.3 years, has a number of

applications, including medical therapy and the sterilization

of medical tools. Determine the mass of a 50 g sample that

would remain after

(a) 6 months

(b) 5 years


1
Expert's answer
2022-03-17T15:16:30-0400

N=N0(12)tt1/2N=N_0(\frac{1}{2})^{\frac{t}{t_{1/2}}}


a)

N=50 g×(12)0.5 years5.3 years=47 gN=50\ g\times(\frac{1}{2})^{\frac{0.5\ years}{5.3\ years}}=47\ g


Answer: 47 g


b)

N=50 g×(12)5 years5.3 years=26 gN=50\ g\times(\frac{1}{2})^{\frac{5\ years}{5.3\ years}}=26\ g


Answer: 26 g


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