peikiern4652 peikiern4652

Today at 10:08 PM
Chemistry

Answered

The half-life of cobalt-60 is 5 years. How old is a sample of cobalt-60 if only one-eighth of the original sample is still cobalt-60?.

Answer :

indrawboy indrawboy

Today at 10:13 PM

[tex]\tt \large{\boxed{\bold{Nt=No.(\frac{1}{2}) ^{\frac{T}{t1/2} } }}[/tex]

Nt/No = 1/8

T = duration of decay

t 1/2 = half-life

[tex]\tt \dfrac{1}{8}=\dfrac{1}{2}^\dfrac{T}{5}}\\\\(\dfrac{1}{2})^3=\dfrac{1}{2}^\dfrac{T}{5}}\\\\3=\dfrac{T}{5}\rightarrow T=15~years[/tex]

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