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42. We label the two isotopes with subscripts 1 (for
32
P) and 2 (for
33
P). Initially, 10% of
the decays come from
33
P, which implies that the initial rate
R
02
= 9
R
01
. Using Eq. 4217,
this means
RNR
N
01
1
01
02
2
02
1
9
1
9
==
=
λλ
.
At time
t
, we have
RR
e
t
10
1
1
=
−λ
and
e
t
20
2
2
=
. We seek the value of
t
for which
R
1
=
9
R
2
(which means 90% of the decays arise from
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 Spring '08
 Any
 Physics

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