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29.
(a) The decay rate is given by
R
=
λN
,where
λ
is the disintegration constant and
N
is the number
of undecayed nuclei.
Initially,
R
=
R
0
=
λN
0
,wh
e
r
e
N
0
is the number of undecayed nuclei
at that time. One must Fnd values for both
N
0
and
λ
. The disintegration constant is related
to the halflife
T
1
/
2
by
λ
=(
ln2
)
/T
1
/
2
=(
ln2
)
/
(78 h) = 8
.
89
×
10
−
3
h
−
1
.I
f
M
is the mass
of the sample and
m
is the mass of a single atom of gallium, then
N
0
=
M/m
.N
o
w
,
m
=
(67 u)(1
.
661
×
10
−
24
g
/
u) = 1
.
113
×
10
−
22
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics

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