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39. The number
N
of undecayed nuclei present at any time and the rate of decay
R
at that
time are related by
R =
λ
N
, where
λ
is the disintegration constant. The disintegration
constant is related to the halflife
T
1/2
by
λ
= (ln 2)/
T
1/2
, so
R
= (
N
ln 2)/
T
1/2
and
T
1/2
= (
N
ln 2)/
R
.
Since 15.0% by mass of the sample is
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 Spring '08
 Any
 Physics

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