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67. The decay rate
R
is related to the number of nuclei
N
by
R
=
λN
,where
λ
is the disintegration constant.
The disintegration constant is related to the halflife
T
1
/
2
by
λ
=(ln2)
/T
1
/
2
,so
N
=
R/λ
=
RT
1
/
2
/
ln 2.
Since 1 Ci = 3
.
7
×
10
10
disintegrations
/
s,
N
=
(250 Ci)(3
.
7
×
10
10
s
−
1
/
Ci)(2
.
7 d)(8
.
64
×
10
4
s
/
d)
ln 2
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 Fall '08
 SPRUNGER
 Physics

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