The atomic weight of gallium is 69.72 amu. The masses of the naturally occurring isotopes are 68.9257 amu and 70.908 amu for 69Ga and 71Ga respectively. Calculate the % abundance of each isotope.
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Explanation:
Let the percentage of the isotope
71
G
a
be
=
x
%
Then,
The percentage of the isotope
69
G
a
is
=
(
100
−
x
)
%
We write the mass balance equation
100
⋅
69.72
=
x
⋅
71
+
(
100
−
x
)
⋅
69
6972
=
71
x
+
6900
−
69
x
2
x
=
6972
−
6900
=
72
x
=
36
Therefore,
The percentage of the isotope
71
G
a
is
=
36
%
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